Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z A a() (regpy.functionals.base.SquaredNorm method) a_bdr (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) AbstractFunctional (class in regpy.functionals.base) AbstractSpace (class in regpy.hilbert.base) active (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) active_minus (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) active_minus_old (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) active_plus (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) active_plus_old (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) AddSingletonVectorDimension (class in regpy.operators.numpy) adj_first (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) adj_ones (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) adjoint() (regpy.operators.base.Operator method) (regpy.vecsps.curve.StarTrigCurve method) (regpy.vecsps.StarTrigCurve method) adjoint_data() (regpy.operators.base.Operator method) adjoint_der_normal() (regpy.vecsps.curve.GenTrig method) (regpy.vecsps.curve.StarTrigCurve method) (regpy.vecsps.GenTrig method) (regpy.vecsps.StarTrigCurve method) adjoint_eval() (regpy.operators.base.Operator method) ADMM (class in regpy.solvers.linear.admm) all() (regpy.vecsps.base.TupleVector method) (regpy.vecsps.TupleVector method) all_tol_criteria (regpy.solvers.linear.tikhonov.TikhonovCG attribute) alpha (regpy.functionals.numpy.QuadraticBilateralConstraints attribute) (regpy.hilbert.numpy.HmDomain attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) alpha_eff (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) alpha_old (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) any() (regpy.vecsps.base.TupleVector method) (regpy.vecsps.TupleVector method) apple (class in regpy.vecsps) (class in regpy.vecsps.curve) applicable_methods() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) ApproximateHessian (class in regpy.operators.base) arc_length_der() (regpy.vecsps.curve.GenTrig method) (regpy.vecsps.curve.StarTrigCurve method) (regpy.vecsps.GenTrig method) (regpy.vecsps.StarTrigCurve method) args (regpy.functionals.base.AbstractFunctional attribute) (regpy.hilbert.base.AbstractSpace attribute) as_data_func() (regpy.functionals.base.Functional method) (regpy.functionals.base.SquaredNorm method) (regpy.functionals.Functional method) (regpy.functionals.numpy.KullbackLeibler method) as_functional() (in module regpy.functionals.base) as_linear_operator() (regpy.operators.base.Operator method) attr (regpy.util.general.memoized_property attribute) (regpy.util.memoized_property attribute) attrs (regpy.operators.base.Operator property) axes (regpy.hilbert.numpy.SobolevUniformGridFcts attribute) (regpy.operators.numpy.FourierTransform attribute) (regpy.vecsps.GridFcts attribute) (regpy.vecsps.numpy.GridFcts attribute) axisdata (regpy.vecsps.GridFcts attribute) (regpy.vecsps.numpy.GridFcts attribute) B b (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) b() (regpy.functionals.base.SquaredNorm method) bd_eval() (regpy.vecsps.curve.GenTrigSpc method) (regpy.vecsps.GenTrigSpc method) bdr (regpy.vecsps.ngsolve.NgsVectorSpace attribute) bf (regpy.operators.ngsolve.NgsGradOP attribute) (regpy.operators.ngsolve.SolveSystem attribute) bf_mat (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) bonus_intorder (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct property) boundary_condition (regpy.operators.numpy.ForwardFDGradient attribute) bspline_basis() (in module regpy.operators.bases_transform) C c() (regpy.functionals.base.SquaredNorm method) c_u (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) centered (regpy.operators.numpy.FourierTransform attribute) cg_logging_level (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) cg_pars (regpy.solvers.linear.admm.ADMM attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) cgmaxit (regpy.solvers.nonlinear.newton.NewtonCG attribute) (regpy.solvers.nonlinear.newton.NewtonCGFrozen attribute) CGNE (class in regpy.solvers.linear.cgne) cgstop (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) change_data() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) chebyshev_basis() (in module regpy.operators.bases_transform) check_adjoint() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) check_applicability() (regpy.solvers.linear.admm.ADMM method) (regpy.solvers.linear.primal_dual.PDHG static method) (regpy.solvers.linear.proximal_gradient.FISTA static method) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting static method) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral static method) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg static method) check_deriv() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) CholeskyInverse (class in regpy.operators.numpy) circle (class in regpy.vecsps) (class in regpy.vecsps.curve) ClassLogger (class in regpy.util) (class in regpy.util.general) closest_point_simplex() (regpy.functionals.numpy.QuadraticPositiveSemidef static method) codomain (regpy.operators.base.Operator attribute) coeff_to_curve() (regpy.vecsps.curve.GenTrig method) (regpy.vecsps.GenTrig method) coeffs (regpy.functionals.base.LinearCombination attribute) combine_input() (regpy.operators.graph_operator.OperatorNode method) combine_output() (regpy.operators.graph_operator.OperatorNode method) compatible() (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.VectorSpaceBase method) complex2real() (in module regpy.util) (in module regpy.util.general) complex_space() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) component_wise() (regpy.vecsps.base.TupleVector method) (regpy.vecsps.TupleVector method) Composed (class in regpy.functionals.base) composition() (regpy.operators.convolution.ConvolutionOperator method) compute_dual() (regpy.solvers.general.RegSolver method) compute_mass() (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct method) compute_y (regpy.solvers.linear.primal_dual.PDHG attribute) conj() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) (regpy.vecsps.base.TupleVector method) (regpy.vecsps.ngsolve.NgsBaseVector method) (regpy.vecsps.TupleVector method) conj_everywhere_finite (regpy.functionals.numpy.IntegralFunctionalBase attribute) conj_hessian() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) conj_linearize() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) conj_proximal() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) conj_subgradient() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) conj_tol (regpy.functionals.numpy.L1MeasureSpace attribute) conn (regpy.operators.parallel_operators.OperatorAsWorker attribute) constr_l_active (regpy.functionals.numpy.IntegralFunctionalBase attribute) constr_u_active (regpy.functionals.numpy.IntegralFunctionalBase attribute) construct_start_space() (regpy.operators.graph_operator.Edge method) conv_adjoint() (regpy.operators.convolution.ConvolutionOperator method) conv_inverse() (regpy.operators.convolution.ConvolutionOperator method) converge() (regpy.solvers.general.Solver method) convex (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) convexity_param (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) ConvolutionOperator (class in regpy.operators.convolution) coord_distances() (regpy.vecsps.GridFcts method) (regpy.vecsps.numpy.GridFcts method) CoordinateMask (class in regpy.operators.base) CoordinateProjection (class in regpy.operators.base) coords (regpy.vecsps.GridFcts attribute) (regpy.vecsps.numpy.GridFcts attribute) copy (regpy.operators.base.Identity attribute) copy() (regpy.vecsps.base.TupleVector method) (regpy.vecsps.ngsolve.NgsBaseVector method) (regpy.vecsps.TupleVector method) CountIterations (class in regpy.stoprules) create_mass_matrix_cholesky() (regpy.vecsps.ngsolve.NgsVectorSpace method) curl() (in module regpy.operators.convolution) curve (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.StarTrigCurve attribute) D data (regpy.functionals.base.HorizontalShiftDilation property) (regpy.functionals.base.SquaredNorm property) (regpy.functionals.numpy.KullbackLeibler property) (regpy.solvers.general.Setting property) (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) (regpy.solvers.nonlinear.newton.NewtonCG attribute) (regpy.solvers.nonlinear.newton.NewtonCGFrozen attribute) (regpy.solvers.Setting property) (regpy.stoprules.Discrepancy attribute) data_fid (regpy.solvers.general.RegSolver attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) data_old (regpy.stoprules.RelativeChangeData attribute) definedon (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct property) delta (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) der (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.GenCurve property) der_normal() (regpy.vecsps.curve.GenTrig method) (regpy.vecsps.curve.StarTrigCurve method) (regpy.vecsps.GenTrig method) (regpy.vecsps.StarTrigCurve method) deriv (regpy.solvers.nonlinear.landweber.Landweber attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) derivative() (regpy.vecsps.curve.StarTrigCurve method) (regpy.vecsps.StarTrigCurve method) dilation (regpy.functionals.base.HorizontalShiftDilation attribute) dilation() (regpy.functionals.base.Functional method) (regpy.functionals.base.LinearFunctional method) (regpy.functionals.base.SquaredNorm method) (regpy.functionals.Functional method) dir (regpy.solvers.linear.cgne.CGNE attribute) (regpy.solvers.linear.tikhonov.TikhonovCG attribute) DirectSum (class in regpy.hilbert.base) (class in regpy.operators.base) (class in regpy.vecsps) (class in regpy.vecsps.base) Discrepancy (class in regpy.stoprules) display_all_methods() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) dist_subdiff() (regpy.functionals.base.Functional method) (regpy.functionals.base.FunctionalOnDirectSum method) (regpy.functionals.base.HorizontalShiftDilation method) (regpy.functionals.base.LinearCombination method) (regpy.functionals.base.VerticalShift method) (regpy.functionals.Functional method) (regpy.functionals.numpy.IntegralFunctionalBase method) DistributedVectorOfOperators (class in regpy.operators.parallel_operators) distribution_lists (regpy.operators.parallel_operators.DistributedVectorOfOperators attribute) distribution_mat (regpy.operators.parallel_operators.DistributedVectorOfOperators attribute) divergence() (in module regpy.operators.convolution) domain (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) (regpy.functionals.numpy.IntegralFunctionalBase attribute) (regpy.operators.base.Operator attribute) DouglasRachford (class in regpy.solvers.linear.primal_dual) dtype (regpy.hilbert.numpy.HmDomain attribute) (regpy.vecsps.numpy.NumPyVectorSpace attribute) (regpy.vecsps.NumPyVectorSpace attribute) dual() (regpy.solvers.linear.primal_dual.PDHG method) (regpy.solvers.linear.proximal_gradient.FISTA method) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting method) dual_space() (regpy.hilbert.base.HilbertSpace method) dual_to_primal() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) duality_gap() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) DualityGapStopping (class in regpy.stoprules) E Edge (class in regpy.operators.graph_operator) edges (regpy.operators.graph_operator.OperatorGraph attribute) EinSum (class in regpy.operators.numpy) empty() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) end_index (regpy.operators.graph_operator.Edge attribute) end_node (regpy.operators.graph_operator.Edge attribute) eps (regpy.functionals.numpy.QuadraticIntv attribute) Errors (class in regpy.util.general) eta (regpy.solvers.nonlinear.fista.FISTA attribute) (regpy.solvers.nonlinear.landweber.Landweber attribute) eval_curve() (regpy.vecsps.curve.StarTrigRadialFcts method) (regpy.vecsps.StarTrigRadialFcts method) evaluate_methods() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) everywhere_finite (regpy.functionals.numpy.IntegralFunctionalBase attribute) exponent (regpy.operators.base.Pow attribute) Exponential (class in regpy.operators.numpy) ExponentialConvolution (class in regpy.operators.convolution) extents (regpy.vecsps.GridFcts attribute) (regpy.vecsps.numpy.GridFcts attribute) F f (regpy.operators.ngsolve.LinearForm attribute) (regpy.operators.ngsolve.LinearFormGrad attribute) (regpy.operators.ngsolve.SolveSystem attribute) F (regpy.operators.parallel_operators.OperatorAsWorker attribute) f_adj (regpy.operators.ngsolve.LinearFormGrad attribute) (regpy.operators.ngsolve.SolveSystem attribute) factor (regpy.operators.base.PtwMultiplication attribute) factorization (regpy.operators.numpy.CholeskyInverse attribute) factors (regpy.hilbert.base.TensorProd attribute) (regpy.vecsps.numpy.Prod attribute) (regpy.vecsps.Prod attribute) failed_test() (regpy.util.general.Errors static method) fes (regpy.vecsps.ngsolve.NgsVectorSpace attribute) first (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) FISTA (class in regpy.solvers.linear.proximal_gradient) (class in regpy.solvers.nonlinear.fista) flatten() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) ForwardBackwardSplitting (class in regpy.solvers.linear.proximal_gradient) (class in regpy.solvers.nonlinear.forward_backward_splitting) ForwardFDGradient (class in regpy.operators.numpy) fourier_multiplier (regpy.operators.convolution.ConvolutionOperator property) FourierInterpolationOperator (class in regpy.operators.convolution) FourierTransform (class in regpy.operators.numpy) freqs (regpy.operators.convolution.ConvolutionOperator property) frequencies() (regpy.operators.numpy.FourierTransform static method) FresnelPropagator() (in module regpy.operators.convolution) from_ngs() (regpy.vecsps.ngsolve.NgsVectorSpace method) fromflat() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) func (regpy.functionals.base.Composed attribute) (regpy.functionals.base.HorizontalShiftDilation attribute) (regpy.functionals.base.VerticalShift attribute) (regpy.operators.base.ApproximateHessian attribute) (regpy.util.general.memoized_property attribute) (regpy.util.memoized_property attribute) funcs (regpy.functionals.base.FunctionalOnDirectSum attribute) (regpy.functionals.base.LinearCombination attribute) Functional (class in regpy.functionals) (class in regpy.functionals.base) functional_calculus() (regpy.operators.convolution.ConvolutionOperator method) FunctionalOnDirectSum (class in regpy.functionals.base) G G (regpy.hilbert.numpy.HmDomain attribute) g_dir (regpy.solvers.linear.cgne.CGNE attribute) g_res (regpy.solvers.linear.cgne.CGNE attribute) (regpy.solvers.linear.tikhonov.TikhonovCG attribute) gamma (regpy.solvers.linear.admm.ADMM attribute) gap_threshold (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) GaussianBlur() (in module regpy.operators.convolution) GenCurve (class in regpy.vecsps) (class in regpy.vecsps.curve) generic_message() (regpy.util.general.Errors static method) GenTrig (class in regpy.vecsps) (class in regpy.vecsps.curve) GenTrigSpc (class in regpy.vecsps) (class in regpy.vecsps.curve) get_constants() (regpy.operators.base.Operator method) get_dual_setting() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) get_free_inputs() (regpy.operators.graph_operator.OperatorNode method) get_in_nodes() (regpy.operators.graph_operator.OperatorNode method) get_out_nodes() (regpy.operators.graph_operator.OperatorNode method) get_rng() (in module regpy.util.general) get_stopping_rule() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) gf (regpy.functionals.ngsolve.SignumFilter attribute) gf_a (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) gf_adj_help (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) gf_deriv (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) gf_eval (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) gf_h (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) gf_help (regpy.functionals.ngsolve.SignumFilter attribute) gf_out (regpy.functionals.ngsolve.SignumFilter attribute) gfu (regpy.operators.ngsolve.LinearForm attribute) (regpy.operators.ngsolve.LinearFormGrad attribute) (regpy.operators.ngsolve.SolveSystem attribute) gfu_adj (regpy.operators.ngsolve.LinearForm attribute) (regpy.operators.ngsolve.LinearFormGrad attribute) (regpy.operators.ngsolve.SolveSystem attribute) gfu_codomain (regpy.operators.ngsolve.ProjectToBoundary attribute) gfu_domain (regpy.operators.ngsolve.ProjectToBoundary attribute) gfu_eval (regpy.operators.ngsolve.LinearFormGrad attribute) (regpy.operators.ngsolve.SolveSystem attribute) gfu_read_in (regpy.operators.ngsolve.NgsOperator attribute) grad (regpy.functionals.numpy.TVUniformGridFcts attribute) gradient (regpy.functionals.base.LinearFunctional property) gradient() (in module regpy.operators.convolution) gradx (regpy.operators.base.ApproximateHessian attribute) gram (regpy.functionals.base.SquaredNorm attribute) (regpy.hilbert.base.GramHilbertSpace property) (regpy.hilbert.base.HilbertSpace property) gram() (regpy.hilbert.base.DirectSum method) (regpy.hilbert.base.HilbertPullBack method) (regpy.hilbert.base.L2Generic method) (regpy.hilbert.base.TensorProd method) (regpy.hilbert.ngsolve.H10FESpace method) (regpy.hilbert.ngsolve.L2BoundaryFESpace method) (regpy.hilbert.ngsolve.L2FESpace method) (regpy.hilbert.ngsolve.SobolevBoundaryFESpace method) (regpy.hilbert.ngsolve.SobolevFESpace method) (regpy.hilbert.numpy.HmDomain method) (regpy.hilbert.numpy.L2MeasureSpaceFcts method) (regpy.hilbert.numpy.L2UniformGridFcts method) (regpy.hilbert.numpy.SobolevUniformGridFcts method) gram_inv (regpy.hilbert.base.GramHilbertSpace property) (regpy.hilbert.base.HilbertPullBack property) (regpy.hilbert.base.HilbertSpace property) GramHilbertSpace (class in regpy.hilbert.base) gramXinv (regpy.solvers.linear.admm.ADMM attribute) gramY (regpy.solvers.linear.admm.ADMM attribute) grid (regpy.operators.convolution.ConvolutionOperator attribute) GridFcts (class in regpy.vecsps) (class in regpy.vecsps.numpy) H h (regpy.solvers.linear.primal_dual.DouglasRachford attribute) H10FESpace (class in regpy.hilbert.ngsolve) h_adjoint() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) h_codomain (regpy.solvers.general.RegSolver attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) h_domain (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) (regpy.functionals.numpy.IntegralFunctionalBase attribute) (regpy.solvers.general.RegSolver attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) Height() (regpy.functionals.ngsolve.SignumFilter method) hessian() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) HilbertNorm (in module regpy.functionals) HilbertPullBack (class in regpy.hilbert.base) HilbertSpace (class in regpy.hilbert.base) Hm (in module regpy.hilbert) Hm0 (in module regpy.hilbert) HmDomain (class in regpy.hilbert.numpy) HorizontalShiftDilation (class in regpy.functionals.base) Hub (in module regpy.functionals) Huber (class in regpy.functionals.numpy) HuberL2 (class in regpy.functionals.numpy) I I_minus_Delta() (regpy.hilbert.numpy.HmDomain method) Identity (class in regpy.operators.base) identity() (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.VectorSpaceBase method) IfPos() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) imag (regpy.vecsps.base.TupleVector property) (regpy.vecsps.ngsolve.NgsBaseVector property) (regpy.vecsps.TupleVector property) ImaginaryPart (class in regpy.operators.base) inactive (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) index (regpy.hilbert.numpy.HmDomain attribute) (regpy.hilbert.numpy.SobolevUniformGridFcts attribute) indexation() (regpy.util.general.Errors static method) init (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) inner() (regpy.hilbert.base.HilbertSpace method) inner_active_change (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) inner_it_count (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) inner_it_logging_level (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) inner_NSS_iter_max (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) inner_solver (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) inner_solver_pars (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) inner_solver_stoprule (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) inner_update() (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth method) InnerShift (class in regpy.operators.base) input_edges (regpy.operators.graph_operator.OperatorNode attribute) input_op (regpy.operators.graph_operator.OperatorGraph attribute) integer (regpy.operators.numpy.Power attribute) IntegralFunctionalBase (class in regpy.functionals.numpy) inverse (regpy.operators.base.Operator property) (regpy.operators.ngsolve.NgsMatrixMultiplication property) (regpy.operators.numpy.AddSingletonVectorDimension property) (regpy.operators.numpy.CholeskyInverse property) (regpy.operators.numpy.SuperLUInverse property) inverse() (regpy.operators.base.DirectSum method) (regpy.operators.base.Identity method) (regpy.operators.base.Pow method) (regpy.operators.base.PtwMultiplication method) (regpy.operators.base.SplitRealImag method) (regpy.operators.numpy.FourierTransform method) (regpy.operators.numpy.MatrixMultiplication method) (regpy.operators.numpy.PtwScalarMultiplication method) inverse_kwargs (regpy.operators.ngsolve.SolveSystem attribute) invertible (regpy.operators.base.Operator property) (regpy.operators.base.PtwMultiplication property) (regpy.operators.base.SplitRealImag property) (regpy.operators.numpy.AddSingletonVectorDimension property) (regpy.operators.numpy.FourierTransform property) (regpy.operators.numpy.PtwScalarMultiplication property) IrgnmCG (class in regpy.solvers.nonlinear.irgnm) IrgnmCGPrec (class in regpy.solvers.nonlinear.irgnm) IrgnmSemiSmooth (class in regpy.solvers.nonlinear.irgnm_semismooth) is_complex (regpy.operators.numpy.FourierTransform attribute) (regpy.vecsps.base.VectorSpaceBase attribute) (regpy.vecsps.VectorSpaceBase attribute) is_complex_dtype (regpy.vecsps.ngsolve.NgsBaseVector property) is_complex_dtype() (in module regpy.util) (in module regpy.util.general) is_converged() (regpy.solvers.general.Solver method) is_data_func (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) is_in_essential_domain() (regpy.functionals.numpy.QuadraticPositiveSemidef method) is_on_boundary() (regpy.vecsps.ngsolve.NgsVectorSpace method) is_real_dtype() (in module regpy.util) (in module regpy.util.general) is_uniform() (in module regpy.util) (in module regpy.util.general) iter_basis() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsBaseVector method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) iteration (regpy.stoprules.CountIterations attribute) iteration_step_nr (regpy.solvers.general.Solver attribute) IterativelyRegularizedNewton (class in regpy.solvers.nonlinear.newton) J join() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.DirectSum method) K k (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) kappa (regpy.solvers.linear.tikhonov.TikhonovCG attribute) kernel_matrix_shape (regpy.operators.convolution.ConvolutionOperator attribute) kite (class in regpy.vecsps) (class in regpy.vecsps.curve) KL (in module regpy.functionals) krylov_basis (regpy.solvers.linear.tikhonov.TikhonovCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) krylov_basis_img (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) krylov_basis_img_2 (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) KullbackLeibler (class in regpy.functionals.numpy) kwargs (regpy.functionals.numpy.IntegralFunctionalBase attribute) (regpy.operators.convolution.ConvolutionOperator attribute) L L1 (in module regpy.functionals) L1Generic (class in regpy.functionals.numpy) L1L2 (class in regpy.functionals.numpy) L1MeasureSpace (class in regpy.functionals.numpy) L2 (in module regpy.hilbert) L2Boundary (in module regpy.hilbert) L2BoundaryFESpace (class in regpy.hilbert.ngsolve) L2FESpace (class in regpy.hilbert.ngsolve) L2Generic (class in regpy.hilbert.base) L2MeasureSpaceFcts (class in regpy.hilbert.numpy) L2UniformGridFcts (class in regpy.hilbert.numpy) lam (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) lam_minus (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) lam_plus (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) Landweber (class in regpy.solvers.linear.landweber) (class in regpy.solvers.nonlinear.landweber) Laplacian (class in regpy.operators.convolution) lb (regpy.functionals.numpy.QuadraticBilateralConstraints attribute) legendre_basis() (in module regpy.operators.bases_transform) length (regpy.functionals.base.FunctionalOnDirectSum attribute) LevenbergMarquardt (class in regpy.solvers.nonlinear.irgnm) lf (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) lf_adj (regpy.operators.ngsolve.SecondOrderEllipticCoefficientPDE attribute) linear (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) (regpy.operators.base.Operator attribute) (regpy.operators.ngsolve.ProjectToBoundary attribute) linear_table (regpy.functionals.base.LinearCombination attribute) LinearCombination (class in regpy.functionals.base) LinearForm (class in regpy.operators.ngsolve) LinearFormGrad (class in regpy.operators.ngsolve) LinearFunctional (class in regpy.functionals.base) linearize() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) (regpy.operators.base.Operator method) linspace_circle() (in module regpy.util) (in module regpy.util.general) Lipschitz (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) log (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) (regpy.hilbert.base.HilbertSpace attribute) (regpy.operators.base.Operator attribute) (regpy.operators.parallel_operators.OperatorAsWorker attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.general.Solver attribute) (regpy.solvers.Setting attribute) (regpy.vecsps.base.TupleVector attribute) (regpy.vecsps.base.VectorSpaceBase attribute) (regpy.vecsps.ngsolve.NgsBaseVector attribute) (regpy.vecsps.TupleVector attribute) (regpy.vecsps.VectorSpaceBase attribute) logging_level (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) logical_and() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.VectorSpaceBase method) logical_not() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.VectorSpaceBase method) logical_or() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.VectorSpaceBase method) logical_xor() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.VectorSpaceBase method) Lpp (in module regpy.functionals) LppL2 (class in regpy.functionals.numpy) LppPower (class in regpy.functionals.numpy) lu (regpy.operators.numpy.SuperLUInverse attribute) M make_copy (regpy.vecsps.ngsolve.NgsBaseVector attribute) make_repr() (in module regpy.util) (in module regpy.util.general) mask (regpy.hilbert.numpy.HmDomain attribute) (regpy.operators.base.CoordinateMask attribute) (regpy.operators.base.CoordinateProjection attribute) masked_space() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) mass (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct attribute) mass_matrix_cholesky (regpy.vecsps.ngsolve.NgsVectorSpace attribute) mass_vec (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct attribute) mat (regpy.operators.ngsolve.NgsMatrixMultiplication attribute) matrices() (regpy.operators.numpy.ForwardFDGradient method) matrix (regpy.operators.numpy.MatrixMultiplication attribute) matrixfct (regpy.operators.numpy.PtwMatrixVectorMultiplication attribute) MatrixMultiplication (class in regpy.operators.numpy) MatrixOfOperators (class in regpy.operators.base) max_CG_iter (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) max_iterations (regpy.stoprules.CountIterations attribute) max_Newton_iter (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) measure (regpy.functionals.numpy.IntegralFunctionalBase attribute) (regpy.vecsps.MeasureSpaceFcts property) (regpy.vecsps.numpy.MeasureSpaceFcts property) (regpy.vecsps.numpy.UniformGridFcts attribute) (regpy.vecsps.UniformGridFcts attribute) MeasureSpaceFcts (class in regpy.vecsps) (class in regpy.vecsps.numpy) memoized_property (class in regpy.util) (class in regpy.util.general) methods (regpy.functionals.base.Functional property) (regpy.functionals.Functional property) module regpy regpy.functionals regpy.functionals.base regpy.functionals.ngsolve regpy.functionals.numpy regpy.hilbert regpy.hilbert.base regpy.hilbert.ngsolve regpy.hilbert.numpy regpy.operators regpy.operators.base regpy.operators.bases_transform regpy.operators.convolution regpy.operators.graph_operator regpy.operators.ngsolve regpy.operators.numpy regpy.operators.parallel_operators regpy.solvers regpy.solvers.general regpy.solvers.linear regpy.solvers.linear.admm regpy.solvers.linear.cgne regpy.solvers.linear.landweber regpy.solvers.linear.primal_dual regpy.solvers.linear.proximal_gradient regpy.solvers.linear.richardson_lucy regpy.solvers.linear.semismoothNewton regpy.solvers.linear.tikhonov regpy.solvers.nonlinear regpy.solvers.nonlinear.fista regpy.solvers.nonlinear.forward_backward_splitting regpy.solvers.nonlinear.irgnm regpy.solvers.nonlinear.irgnm_semismooth regpy.solvers.nonlinear.landweber regpy.solvers.nonlinear.newton regpy.stoprules regpy.util regpy.util.functional_tests regpy.util.general regpy.util.operator_tests regpy.vecsps regpy.vecsps.base regpy.vecsps.curve regpy.vecsps.ngsolve regpy.vecsps.numpy mu (regpy.solvers.nonlinear.fista.FISTA attribute) mu_data_fidelity (regpy.solvers.nonlinear.fista.FISTA attribute) mu_penalty (regpy.solvers.nonlinear.fista.FISTA attribute) Mult() (regpy.functionals.ngsolve.SignumFilter method) N n (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.curve.GenTrigSpc attribute) (regpy.vecsps.GenCurve property) (regpy.vecsps.GenTrigSpc attribute) n_components (regpy.vecsps.base.DirectSum attribute) (regpy.vecsps.DirectSum attribute) N_in (regpy.operators.graph_operator.OperatorGraph attribute) (regpy.operators.graph_operator.OperatorNode attribute) N_out (regpy.operators.graph_operator.OperatorGraph attribute) (regpy.operators.graph_operator.OperatorNode attribute) name (regpy.functionals.base.AbstractFunctional attribute) (regpy.hilbert.base.AbstractSpace attribute) (regpy.operators.parallel_operators.OperatorAsWorker attribute) (regpy.vecsps.curve.GenCurve attribute) (regpy.vecsps.GenCurve attribute) nderivs (regpy.vecsps.curve.GenTrig attribute) (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.GenTrig attribute) (regpy.vecsps.StarTrigCurve attribute) ndim (regpy.hilbert.numpy.HmDomain attribute) (regpy.operators.convolution.PaddingOperator attribute) (regpy.vecsps.base.VectorSpaceBase property) (regpy.vecsps.VectorSpaceBase property) ndim_codomain (regpy.vecsps.MeasureSpaceFcts property) (regpy.vecsps.numpy.MeasureSpaceFcts property) ndim_domain (regpy.operators.convolution.PaddingOperator attribute) (regpy.vecsps.MeasureSpaceFcts property) (regpy.vecsps.numpy.MeasureSpaceFcts property) need_prec_update (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) NewtonCG (class in regpy.solvers.nonlinear.newton) NewtonCGFrozen (class in regpy.solvers.nonlinear.newton) NewtonSemiSmoothFrozen (class in regpy.solvers.nonlinear.newton) next() (regpy.solvers.general.Solver method) NgsBaseVector (class in regpy.vecsps.ngsolve) NgsGradOP (class in regpy.operators.ngsolve) NgsL1 (class in regpy.functionals.ngsolve) NgsMatrixMultiplication (class in regpy.operators.ngsolve) NgsOperator (class in regpy.operators.ngsolve) NgsTV (class in regpy.functionals.ngsolve) NgsVectorSpace (class in regpy.vecsps.ngsolve) NgsVectorSpaceWithInnerProduct (class in regpy.vecsps.ngsolve) node_dict (regpy.operators.graph_operator.OperatorGraph attribute) noiselevel (regpy.stoprules.Discrepancy attribute) NonstationaryIteratedTikhonov (class in regpy.solvers.linear.tikhonov) nonsym_shape (class in regpy.vecsps) (class in regpy.vecsps.curve) norm (regpy.stoprules.Discrepancy attribute) (regpy.stoprules.RelativeChangeData attribute) (regpy.stoprules.RelativeChangeSol attribute) norm() (regpy.hilbert.base.HilbertSpace method) (regpy.operators.base.Operator method) (regpy.operators.numpy.ForwardFDGradient method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.VectorSpaceBase method) norm_functional() (regpy.hilbert.base.HilbertSpace method) normal (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.curve.StarCurve property) (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.GenCurve property) (regpy.vecsps.StarCurve property) (regpy.vecsps.StarTrigCurve attribute) not_a_vecsp() (regpy.util.general.Errors static method) not_equal() (regpy.util.general.Errors static method) not_in_vecsp() (regpy.util.general.Errors static method) not_instance() (regpy.util.general.Errors static method) not_linear_op() (regpy.util.general.Errors static method) nr_inner_its() (regpy.solvers.nonlinear.irgnm.IrgnmCG method) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt method) (regpy.solvers.nonlinear.newton.NewtonCG method) NumPyVectorSpace (class in regpy.vecsps) (class in regpy.vecsps.numpy) nvals (regpy.vecsps.curve.GenTrig attribute) (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.GenTrig attribute) (regpy.vecsps.StarTrigCurve attribute) O offset (regpy.functionals.base.VerticalShift attribute) (regpy.operators.base.InnerShift attribute) (regpy.operators.base.OuterShift attribute) ones() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) op (regpy.functionals.base.Composed attribute) (regpy.hilbert.base.HilbertPullBack attribute) (regpy.operators.base.InnerShift attribute) (regpy.operators.base.OuterShift attribute) (regpy.operators.base.Pow attribute) (regpy.operators.graph_operator.OperatorNode attribute) (regpy.operators.numpy.CholeskyInverse attribute) (regpy.operators.numpy.SuperLUInverse attribute) (regpy.solvers.general.RegSolver attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) (regpy.solvers.Setting attribute) op2 (regpy.operators.base.SciPyLinearOperator attribute) Operator (class in regpy.operators.base) OperatorAsWorker (class in regpy.operators.parallel_operators) OperatorGraph (class in regpy.operators.graph_operator) OperatorNode (class in regpy.operators.graph_operator) ops (regpy.operators.base.DirectSum attribute) (regpy.operators.base.MatrixOfOperators attribute) (regpy.operators.base.VectorOfOperators attribute) (regpy.operators.parallel_operators.DistributedVectorOfOperators attribute) OuterProduct (class in regpy.operators.numpy) OuterShift (class in regpy.operators.base) output_edges (regpy.operators.graph_operator.OperatorNode attribute) output_op (regpy.operators.graph_operator.OperatorGraph attribute) P p (regpy.functionals.numpy.LppPower attribute) p1 (regpy.solvers.linear.admm.ADMM attribute) p2 (regpy.solvers.linear.admm.ADMM attribute) pad_value (regpy.operators.convolution.PaddingOperator attribute) PaddingOperator (class in regpy.operators.convolution) ParallelExecutionManager (class in regpy.operators.parallel_operators) ParallelVectorOfOperators (class in regpy.operators.parallel_operators) pass_backward() (regpy.operators.graph_operator.Edge method) pass_forward() (regpy.operators.graph_operator.Edge method) PDHG (class in regpy.solvers.linear.primal_dual) peanut (class in regpy.vecsps) (class in regpy.vecsps.curve) penalty (regpy.solvers.general.RegSolver attribute) (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) PeriodicShift (class in regpy.operators.convolution) pinched_ellipse (class in regpy.vecsps) (class in regpy.vecsps.curve) poisson() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) Pow (class in regpy.operators.base) Power (class in regpy.operators.numpy) power (regpy.operators.numpy.Power attribute) primal() (regpy.solvers.linear.admm.ADMM method) (regpy.solvers.linear.primal_dual.PDHG method) (regpy.solvers.linear.proximal_gradient.FISTA method) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting method) primal_setting (regpy.solvers.general.Setting attribute) (regpy.solvers.Setting attribute) primal_to_dual() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) Prod (class in regpy.vecsps) (class in regpy.vecsps.numpy) Product (class in regpy.operators.base) product() (regpy.vecsps.numpy.Prod method) (regpy.vecsps.Prod method) proj (regpy.hilbert.numpy.HmDomain attribute) projector_codomain (regpy.operators.ngsolve.ProjectToBoundary attribute) projector_domain (regpy.operators.ngsolve.ProjectToBoundary attribute) ProjectToBoundary (class in regpy.operators.ngsolve) proximal() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) proximal_pars (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) (regpy.solvers.nonlinear.forward_backward_splitting.ForwardBackwardSplitting attribute) proximal_pars_data_fidelity (regpy.solvers.linear.admm.ADMM attribute) (regpy.solvers.linear.primal_dual.DouglasRachford attribute) proximal_pars_data_fidelity_conjugate (regpy.solvers.linear.primal_dual.PDHG attribute) proximal_pars_penalty (regpy.solvers.linear.admm.ADMM attribute) (regpy.solvers.linear.primal_dual.DouglasRachford attribute) (regpy.solvers.linear.primal_dual.PDHG attribute) psi_minus (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) psi_plus (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) PtwMatrixVectorMultiplication (class in regpy.operators.numpy) PtwMultiplication (class in regpy.operators.base) PtwScalarMultiplication (class in regpy.operators.numpy) Q q (regpy.functionals.numpy.LppPower attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) quad_taylor_l_active (regpy.functionals.numpy.IntegralFunctionalBase attribute) quad_taylor_u_active (regpy.functionals.numpy.IntegralFunctionalBase attribute) QuadBil (in module regpy.functionals) QuadIntv (in module regpy.functionals) QuadLow (in module regpy.functionals) QuadNonneg (in module regpy.functionals) QuadPosSemi (in module regpy.functionals) QuadraticBilateralConstraints (class in regpy.functionals.numpy) QuadraticIntv (class in regpy.functionals.numpy) QuadraticLowerBound() (in module regpy.functionals.numpy) QuadraticNonneg (class in regpy.functionals.numpy) QuadraticPositiveSemidef (class in regpy.functionals.numpy) R radial() (regpy.vecsps.curve.StarCurve method) (regpy.vecsps.StarCurve method) radius (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.StarTrigCurve attribute) rand() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) randn() (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.VectorSpaceBase method) RE (in module regpy.functionals) real (regpy.vecsps.base.TupleVector property) (regpy.vecsps.ngsolve.NgsBaseVector property) (regpy.vecsps.TupleVector property) real2complex() (in module regpy.util) (in module regpy.util.general) real_space() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) RealPart (class in regpy.operators.base) realsize (regpy.vecsps.base.DirectSum property) (regpy.vecsps.base.VectorSpaceBase property) (regpy.vecsps.DirectSum property) (regpy.vecsps.VectorSpaceBase property) recompute_cutoff() (regpy.functionals.base.HorizontalShiftDilation method) register() (regpy.functionals.base.AbstractFunctional method) (regpy.hilbert.base.AbstractSpace method) regpar (regpy.solvers.general.Setting property) (regpy.solvers.linear.primal_dual.DouglasRachford attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) (regpy.solvers.linear.tikhonov.TikhonovCG attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) (regpy.solvers.Setting property) regpar_step (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) regpy module regpy.functionals module regpy.functionals.base module regpy.functionals.ngsolve module regpy.functionals.numpy module regpy.hilbert module regpy.hilbert.base module regpy.hilbert.ngsolve module regpy.hilbert.numpy module regpy.operators module regpy.operators.base module regpy.operators.bases_transform module regpy.operators.convolution module regpy.operators.graph_operator module regpy.operators.ngsolve module regpy.operators.numpy module regpy.operators.parallel_operators module regpy.solvers module regpy.solvers.general module regpy.solvers.linear module regpy.solvers.linear.admm module regpy.solvers.linear.cgne module regpy.solvers.linear.landweber module regpy.solvers.linear.primal_dual module regpy.solvers.linear.proximal_gradient module regpy.solvers.linear.richardson_lucy module regpy.solvers.linear.semismoothNewton module regpy.solvers.linear.tikhonov module regpy.solvers.nonlinear module regpy.solvers.nonlinear.fista module regpy.solvers.nonlinear.forward_backward_splitting module regpy.solvers.nonlinear.irgnm module regpy.solvers.nonlinear.irgnm_semismooth module regpy.solvers.nonlinear.landweber module regpy.solvers.nonlinear.newton module regpy.stoprules module regpy.util module regpy.util.functional_tests module regpy.util.general module regpy.util.operator_tests module regpy.vecsps module regpy.vecsps.base module regpy.vecsps.curve module regpy.vecsps.ngsolve module regpy.vecsps.numpy module RegSolver (class in regpy.solvers.general) RelativeChangeData (class in regpy.stoprules) RelativeChangeSol (class in regpy.stoprules) RelativeEntropy (class in regpy.functionals.numpy) reltolx (regpy.solvers.linear.tikhonov.TikhonovCG attribute) reltoly (regpy.solvers.linear.tikhonov.TikhonovCG attribute) remove() (regpy.operators.graph_operator.Edge method) res (regpy.operators.ngsolve.NgsMatrixMultiplication attribute) reset() (regpy.stoprules.CountIterations method) (regpy.stoprules.RelativeChangeData method) (regpy.stoprules.RelativeChangeSol method) reset_constants() (regpy.operators.base.Operator method) reset_detect_loop() (regpy.operators.base.Operator method) rho (regpy.solvers.nonlinear.newton.NewtonCG attribute) (regpy.solvers.nonlinear.newton.NewtonCGFrozen attribute) rhs (regpy.solvers.linear.landweber.Landweber attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.landweber.Landweber attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) RichardsonLucy (class in regpy.solvers.linear.richardson_lucy) round_rect (class in regpy.vecsps) (class in regpy.vecsps.curve) run() (regpy.operators.parallel_operators.OperatorAsWorker method) (regpy.solvers.general.Setting method) (regpy.solvers.general.Solver method) (regpy.solvers.Setting method) runtime_error() (regpy.util.general.Errors static method) runWithDP() (regpy.solvers.general.RegSolver method) S same_domain (regpy.operators.ngsolve.ProjectToBoundary attribute) sample() (regpy.vecsps.curve.StarTrigRadialFcts method) (regpy.vecsps.StarTrigRadialFcts method) sample_essential_domain() (in module regpy.util.functional_tests) sample_vector_in_domain() (in module regpy.util.functional_tests) samples (regpy.vecsps.curve.GenTrig attribute) (regpy.vecsps.GenTrig attribute) scalar_func_args (regpy.functionals.numpy.VectorIntegralFunctional attribute) scalar_space() (regpy.vecsps.MeasureSpaceFcts method) (regpy.vecsps.numpy.MeasureSpaceFcts method) SciPyLinearOperator (class in regpy.operators.base) sdomain (regpy.functionals.numpy.VectorIntegralFunctional attribute) SecondOrderEllipticCoefficientPDE (class in regpy.operators.ngsolve) select_best_method() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) SemismoothNewton_bilateral (class in regpy.solvers.linear.semismoothNewton) SemismoothNewton_nonneg (class in regpy.solvers.linear.semismoothNewton) SemismoothNewtonAlphaGrid (class in regpy.solvers.linear.semismoothNewton) separable (regpy.functionals.base.Functional attribute) (regpy.functionals.Functional attribute) set_constant() (regpy.operators.base.Operator method) set_defaults() (in module regpy.util) (in module regpy.util.general) set_rng_seed() (in module regpy.util.general) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.VectorSpaceBase method) set_stopping_rule() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) Setting (class in regpy.solvers) (class in regpy.solvers.general) setting (regpy.solvers.general.RegSolver attribute) (regpy.solvers.linear.admm.ADMM attribute) shape (regpy.vecsps.base.VectorSpaceBase attribute) (regpy.vecsps.VectorSpaceBase attribute) shape_codomain (regpy.vecsps.MeasureSpaceFcts attribute) (regpy.vecsps.numpy.MeasureSpaceFcts attribute) shape_domain (regpy.operators.numpy.AddSingletonVectorDimension attribute) (regpy.vecsps.MeasureSpaceFcts attribute) (regpy.vecsps.numpy.MeasureSpaceFcts attribute) shift() (regpy.functionals.base.Functional method) (regpy.functionals.base.LinearFunctional method) (regpy.functionals.base.SquaredNorm method) (regpy.functionals.Functional method) shift_val() (regpy.functionals.base.HorizontalShiftDilation method) sigma (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) sign (regpy.functionals.ngsolve.NgsL1 attribute) SignumFilter (class in regpy.functionals.ngsolve) size (regpy.vecsps.base.DirectSum property) (regpy.vecsps.base.VectorSpaceBase property) (regpy.vecsps.DirectSum property) (regpy.vecsps.VectorSpaceBase property) smoothed_rectangle (class in regpy.vecsps) (class in regpy.vecsps.curve) Sobolev (in module regpy.hilbert) SobolevBoundary (in module regpy.hilbert) SobolevBoundaryFESpace (class in regpy.hilbert.ngsolve) SobolevFESpace (class in regpy.hilbert.ngsolve) SobolevUniformGridFcts (class in regpy.hilbert.numpy) sol_old (regpy.stoprules.RelativeChangeSol attribute) Solver (class in regpy.solvers.general) SolveSystem (class in regpy.operators.ngsolve) space (regpy.hilbert.base.HilbertPullBack attribute) spacing (regpy.vecsps.numpy.UniformGridFcts attribute) (regpy.vecsps.UniformGridFcts attribute) split() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.DirectSum method) SplitRealImag (class in regpy.operators.base) sq_norm_res (regpy.solvers.linear.cgne.CGNE attribute) (regpy.solvers.linear.tikhonov.TikhonovCG attribute) SquaredModulus (class in regpy.operators.base) SquaredNorm (class in regpy.functionals.base) stackaxes (regpy.operators.convolution.ConvolutionOperator attribute) StarCurve (class in regpy.vecsps) (class in regpy.vecsps.curve) start_list (regpy.operators.graph_operator.Edge attribute) start_node (regpy.operators.graph_operator.Edge attribute) StarTrigCurve (class in regpy.vecsps) (class in regpy.vecsps.curve) StarTrigRadialFcts (class in regpy.vecsps) (class in regpy.vecsps.curve) stepsize (regpy.operators.base.ApproximateHessian attribute) (regpy.solvers.linear.landweber.Landweber attribute) subgradient() (regpy.functionals.base.Functional method) (regpy.functionals.Functional method) subscripts (regpy.operators.numpy.EinSum attribute) Sum (class in regpy.operators.base) sum() (regpy.vecsps.base.TupleVector method) (regpy.vecsps.TupleVector method) summands (regpy.hilbert.base.DirectSum attribute) SuperLUInverse (class in regpy.operators.numpy) T t (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) t_old (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) tangent_norm (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.StarTrigCurve attribute) tau (regpy.solvers.linear.primal_dual.DouglasRachford attribute) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting attribute) (regpy.solvers.nonlinear.forward_backward_splitting.ForwardBackwardSplitting attribute) (regpy.stoprules.Discrepancy attribute) TensorProd (class in regpy.hilbert.base) tensors (regpy.operators.numpy.EinSum attribute) test_adjoint() (in module regpy.util.operator_tests) test_adjoint_derivative() (in module regpy.util.operator_tests) test_adjoint_eval() (in module regpy.util.operator_tests) test_affine_linearity() (in module regpy.util.operator_tests) test_derivative() (in module regpy.util.operator_tests) test_functional() (in module regpy.util) (in module regpy.util.functional_tests) test_linearity() (in module regpy.util.operator_tests) test_Lipschitz_convexity() (in module regpy.util.functional_tests) test_moreaus_identity() (in module regpy.util.functional_tests) test_operator() (in module regpy.util) (in module regpy.util.operator_tests) test_prox_optimality_cond() (in module regpy.util.functional_tests) test_second_derivative() (in module regpy.util.functional_tests) test_subgradient() (in module regpy.util.functional_tests) test_subgradient_conj_subgradient_dist_subdiff() (in module regpy.util.functional_tests) test_young_equality() (in module regpy.util.functional_tests) three_lobes (class in regpy.vecsps) (class in regpy.vecsps.curve) TikhonovAlphaGrid (class in regpy.solvers.linear.tikhonov) TikhonovCG (class in regpy.solvers.linear.tikhonov) to_gf() (regpy.vecsps.ngsolve.NgsVectorSpace method) to_imag() (regpy.vecsps.ngsolve.NgsBaseVector method) tol (regpy.functionals.numpy.QuadraticPositiveSemidef attribute) TOL (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) tol (regpy.solvers.linear.tikhonov.TikhonovCG attribute) (regpy.stoprules.Discrepancy attribute) (regpy.stoprules.DualityGapStopping attribute) (regpy.stoprules.RelativeChangeData attribute) (regpy.stoprules.RelativeChangeSol attribute) tol_fac (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) tol_fac_cg (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) TruncationOperator() (in module regpy.operators.convolution) TupleVector (class in regpy.vecsps) (class in regpy.vecsps.base) TV (in module regpy.functionals) TVGeneric (class in regpy.functionals.numpy) TVUniformGridFcts (class in regpy.functionals.numpy) type (regpy.vecsps.base.VectorSpaceBase attribute) (regpy.vecsps.VectorSpaceBase attribute) type_error() (regpy.util.general.Errors static method) U ub (regpy.functionals.numpy.QuadraticBilateralConstraints attribute) UniformGridFcts (class in regpy.vecsps) (class in regpy.vecsps.numpy) until() (regpy.solvers.general.Solver method) Update() (regpy.functionals.ngsolve.SignumFilter method) update_measure() (regpy.vecsps.MeasureSpaceFcts method) (regpy.vecsps.numpy.MeasureSpaceFcts method) (regpy.vecsps.numpy.UniformGridFcts method) (regpy.vecsps.UniformGridFcts method) use_prec (regpy.operators.ngsolve.SolveSystem attribute) V v (regpy.vecsps.base.TupleVector attribute) (regpy.vecsps.TupleVector attribute) v1 (regpy.solvers.linear.admm.ADMM attribute) v2 (regpy.solvers.linear.admm.ADMM attribute) value_error() (regpy.util.general.Errors static method) values (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.StarTrigCurve attribute) vdomain (regpy.functionals.numpy.VectorIntegralFunctional attribute) vdot() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.ngsolve.NgsVectorSpaceWithInnerProduct method) (regpy.vecsps.VectorSpaceBase method) vec (regpy.vecsps.ngsolve.NgsBaseVector attribute) vec_type (regpy.vecsps.base.VectorSpaceBase attribute) (regpy.vecsps.VectorSpaceBase attribute) vecsp (regpy.hilbert.base.HilbertSpace attribute) (regpy.vecsps.curve.StarTrigCurve attribute) (regpy.vecsps.StarTrigCurve attribute) vector_valued_space() (regpy.vecsps.MeasureSpaceFcts method) (regpy.vecsps.numpy.MeasureSpaceFcts method) VectorIntegralFunctional (class in regpy.functionals.numpy) VectorOfOperators (class in regpy.operators.base) VectorSpaceBase (class in regpy.vecsps) (class in regpy.vecsps.base) VerticalShift (class in regpy.functionals.base) VFunc (in module regpy.functionals) violation_optimality_cond() (regpy.solvers.general.Setting method) (regpy.solvers.Setting method) volume_elem (regpy.vecsps.numpy.Prod attribute) (regpy.vecsps.numpy.UniformGridFcts attribute) (regpy.vecsps.Prod attribute) (regpy.vecsps.UniformGridFcts attribute) W w (regpy.functionals.numpy.RelativeEntropy attribute) w() (regpy.functionals.numpy.KullbackLeibler method) weights (regpy.hilbert.base.DirectSum attribute) (regpy.hilbert.base.L2Generic attribute) (regpy.hilbert.base.TensorProd attribute) (regpy.hilbert.numpy.L2MeasureSpaceFcts attribute) (regpy.hilbert.numpy.L2UniformGridFcts attribute) while_() (regpy.solvers.general.Solver method) while_type (regpy.stoprules.CountIterations attribute) Width() (regpy.functionals.ngsolve.SignumFilter method) without_codomain_vectors (regpy.solvers.nonlinear.fista.FISTA attribute) X x (regpy.operators.base.ApproximateHessian attribute) (regpy.solvers.general.Solver attribute) (regpy.solvers.linear.landweber.Landweber attribute) (regpy.solvers.linear.primal_dual.DouglasRachford attribute) (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting attribute) (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) (regpy.solvers.nonlinear.forward_backward_splitting.ForwardBackwardSplitting attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCG attribute) (regpy.solvers.nonlinear.irgnm.IrgnmCGPrec attribute) (regpy.solvers.nonlinear.irgnm.LevenbergMarquardt attribute) (regpy.solvers.nonlinear.irgnm_semismooth.IrgnmSemiSmooth attribute) (regpy.solvers.nonlinear.landweber.Landweber attribute) (regpy.solvers.nonlinear.newton.IterativelyRegularizedNewton attribute) (regpy.solvers.nonlinear.newton.NewtonCG attribute) (regpy.solvers.nonlinear.newton.NewtonCGFrozen attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) x0 (regpy.functionals.numpy.QuadraticBilateralConstraints attribute) (regpy.solvers.linear.cgne.CGNE attribute) (regpy.solvers.linear.tikhonov.TikhonovCG attribute) x_old (regpy.solvers.linear.primal_dual.PDHG attribute) (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.nonlinear.fista.FISTA attribute) xref (regpy.solvers.linear.semismoothNewton.SemismoothNewton_bilateral attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewtonAlphaGrid attribute) (regpy.solvers.linear.tikhonov.NonstationaryIteratedTikhonov attribute) (regpy.solvers.linear.tikhonov.TikhonovAlphaGrid attribute) (regpy.solvers.nonlinear.newton.NewtonSemiSmoothFrozen attribute) Y y (regpy.solvers.general.Solver attribute) (regpy.solvers.linear.landweber.Landweber attribute) (regpy.solvers.linear.primal_dual.DouglasRachford attribute) (regpy.solvers.linear.primal_dual.PDHG attribute) (regpy.solvers.linear.proximal_gradient.FISTA attribute) (regpy.solvers.linear.proximal_gradient.ForwardBackwardSplitting attribute) (regpy.solvers.linear.richardson_lucy.RichardsonLucy attribute) (regpy.solvers.linear.semismoothNewton.SemismoothNewton_nonneg attribute) Z z (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.curve.GenTrig attribute) (regpy.vecsps.GenCurve property) (regpy.vecsps.GenTrig attribute) Zero (class in regpy.operators.base) zeros() (regpy.vecsps.base.DirectSum method) (regpy.vecsps.base.VectorSpaceBase method) (regpy.vecsps.DirectSum method) (regpy.vecsps.ngsolve.NgsVectorSpace method) (regpy.vecsps.numpy.NumPyVectorSpace method) (regpy.vecsps.NumPyVectorSpace method) (regpy.vecsps.VectorSpaceBase method) zp (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.GenCurve property) zpabs (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.curve.StarCurve property) (regpy.vecsps.GenCurve property) (regpy.vecsps.StarCurve property) zpp (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.GenCurve property) zppp (regpy.vecsps.curve.GenCurve property) (regpy.vecsps.GenCurve property)