Výsledky vyhledávání - Ill-posedness and regularization problems in numerical linear algebra

A method for solving ill-conditioned separable nonlinear least squares problems and its application

Autoři: Wang, Luyao Liu, Guolin Chen, Yang a další

Zdroj: Journal of Computational and Applied Mathematics. 466:116624

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, variable projection, Ill-posedness and regularization problems in numerical linear algebra, ridge estimation, singular value decomposition, Orthogonalization in numerical linear algebra, ill-conditioned matrix, height anomaly

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8031358
https://doi.org/10.1016/j.cam.2025.116624

Efficient sparsity-promoting MAP estimation for Bayesian linear inverse problems

Autoři: Jonathan Lindbloom Jan Glaubitz Anne Gelb

Zdroj: Inverse Problems. 41:025001

Témata: Iterative numerical methods for linear systems, convexity, Beräkningsmatematik, Stochastic approximation, Bayesian inverse problems, sparsity-promoting hierarchical Bayesian learning, image reconstruction, 01 natural sciences, conditionally Gaussian priors, Computational Mathematics, Ill-posedness and regularization problems in numerical linear algebra, (generalized) gamma hyper-priors, 0101 mathematics, Stochastic matrices

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7976342
https://doi.org/10.1088/1361-6420/ada17f
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-211053

A Preconditioned Version of a Nested Primal-Dual Algorithm for Image Deblurring: A preconditioned version of a nested primal-dual algorithm for image deblurring

Autoři: Stefano Aleotti Marco Donatelli Rolf Krause a další

Zdroj: Journal of Scientific Computing. 103

Témata: ill-posed problems, Numerical optimization and variational techniques, convex optimization, Ill-posedness and regularization problems in numerical linear algebra, preconditioning, Numerical aspects of computer graphics, image analysis, and computational geometry, FOS: Mathematics, 65F22 (Primary) 65K10 (Secondary), Mathematics - Numerical Analysis, Numerical Analysis (math.NA), image deblurring

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.13454

Sparse-regularized high-frequency enhanced neural network for solving high-frequency problems

Autoři: Qilin Huang Mingjin Fang Dongsheng Cheng a další

Zdroj: Journal of Computational Physics. 523:113676

Témata: high-frequency problem, Ill-posedness and regularization problems in numerical linear algebra, data-driven learning, partial differential equation, deep neural network, sparse learning, Spectral, collocation and related methods for boundary value problems involving PDEs, Artificial neural networks and deep learning

Popis souboru: application/xml

Retrieval of initial condition for Burgers' equation using reduced-order EnKF via POD-based sparse observations

Autoři: Li, Jie Wang, Yuepeng Ren, Zhigang

Zdroj: Journal of Industrial and Management Optimization. 19:4222-4232

Témata: Ill-posedness and regularization problems in numerical linear algebra, KdV equations (Korteweg-de Vries equations), Burgers' equation, data assimilation, QD algorithm, sparse observations, ensemble Kalman filter, Inference from stochastic processes and prediction

Popis souboru: application/xml

Computational Methods for Large-Scale Inverse Problems: A Survey on Hybrid Projection Methods.

Autoři: Chung, Julianne Gazzola, Silvia

Zdroj: SIAM Review; Jun2024, Vol. 66 Issue 2, p205-284, 80p

Témata: NUMERICAL solutions for linear algebra, KRYLOV subspace, MATHEMATICAL regularization

The asymptotic distribution of the condition number for random circulant matrices

Autoři: Gerardo Barrera Paulo Manrique-Mirón Department of Mathematics and Statistics

Přispěvatelé: Gerardo Barrera Paulo Manrique-Mirón Department of Mathematics and Statistics

Zdroj: Extremes. 25:567-594

Témata: Numerical computation of matrix norms, conditioning, scaling, Circulant matrix, Social Sciences, Normalization (sociology), Estimator, 01 natural sciences, POISSON STATISTICS, Random Matrix Theory and Its Applications, Decision Sciences, Independent and identically distributed random variables, Sociology, CONVERGENCE, MAXIMA, Mathematical Physics, 60F05, 60G70, 65F35, 60G10, 62E20, 65F22 62E20, 65F22, Eigenvalues and eigenvectors, Asymptotic distribution, Scaling Limits of Interacting Particle Systems, Physics, Extreme value theory, Statistics, Random matrix, Numerical Analysis (math.NA), FOS: Sociology, Random matrices (probabilistic aspects), LIMITING SPECTRAL DISTRIBUTION, NORM, Gumbel distribution, Frechet distribution, TAILS, Physical Sciences, PERIODOGRAM, Probability distributions: general theory, Mathematics - Probability, condition number, Statistics and Probability, Random variable, Management Science and Operations Research, Circulant random matrices, Mathematical analysis, Quantum mechanics, FOURIER-TRANSFORMS, SAMPLE COVARIANCE MATRICES, extremal stochastic processes, Joint probability distribution, Fréchet distribution, Stationary stochastic processes, FOS: Mathematics, Rayleigh distribution, Scaling Limits, LARGEST EIGENVALUES, Mathematics - Numerical Analysis, Condition number, 0101 mathematics, Modeling Risk in Insurance and Finance, Asymptotic distribution theory in statistics, Distribution (mathematics), Lyapunov integrability condition, Probability (math.PR), Singular value, circulant random matrices, Dimension (graph theory), Ill-posedness and regularization problems in numerical linear algebra, Combinatorics, Anthropology, Mathematics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2109.02282
http://hdl.handle.net/10138/350704

A Note on Tikhonov Regularization of Large Linear Problems: A note on Tikhonov regularization of large linear problems

Autoři: Martin Hanke

Zdroj: BIT Numerical Mathematics. 43:449-451

Témata: norm of residual, Ill-posedness and regularization problems in numerical linear algebra, Tikhonov regularization, Stieltjes integral, Gauss and Gauss-Radau quadratures, 0101 mathematics, Numerical quadrature and cubature formulas, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A%3A1026091804076

Flipped structured matrix-sequences in image deblurring with reflective and anti-reflective boundary conditions.

Autoři: Ferrari, Paola Furci, Isabella Serra-Capizzano, Stefano

Zdroj: Numerical Algorithms. Sep2025, Vol. 100 Issue 1, p277-309. 33p.

Témata: *BOUNDARY value problems, *SPECTRAL theory, *NUMERICAL solutions for linear algebra, *REFLECTIVE materials, *IMAGE reconstruction, *COMPUTER simulation

Preconditioners Based on Fit Techniques for the Iterative Regularization in the Image Deconvolution Problem: Preconditioners based on fit techniques for the iterative regularization in the image deconvolution problem

Autoři: Paola Favati Grazia Lotti Ornella Menchi a další

Přispěvatelé: Paola Favati Grazia Lotti Ornella Menchi a další

Zdroj: BIT numerical mathematics (Dordr., Online) 45 (2005): 15–35. doi:10.1007/s10543-005-2639-7
info:cnr-pdr/source/autori:Paola Favati; Grazia Lotti; Ornella Menchi;/titolo:Preconditioners based on fit techniques for the iterative regularization in the image deconvolution problem/doi:10.1007%2Fs10543-005-2639-7/rivista:BIT numerical mathematics (Dordr., Online)/anno:2005/pagina_da:15/pagina_a:35/intervallo_pagine:15–35/volume:45

Témata: Iterative numerical methods for linear systems, numerical examples, Numerical computation of matrix norms, conditioning, scaling, gradient-type iterations, 01 natural sciences, regularization, preconditioners, Ill-posedness and regularization problems in numerical linear algebra, image deconvolution, Toeplitz matrices, preconditioned gradient-type iterations, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2Fs10543-005-2639-7
https://arpi.unipi.it/handle/11568/92644?mode=full.1
https://link.springer.com/content/pdf/10.1007/s10543-005-2639-7.pdf
http://www.springerlink.com/content/wx62u6j9177352pv/fulltext.pdf
https://doi.org/10.1007/s10543-005-2639-7
https://hdl.handle.net/20.500.14243/46147
https://hdl.handle.net/11568/92644
https://doi.org/10.1007/s10543-005-2639-7

Minimization of Linear Functionals Defined on Solutions of Large-Scale Discrete Ill-Posed Problems: Minimization of linear functionals defined on solutions of large-scale discrete ill-posed problems

Autoři: Per Christian Hansen Lars Eldén Marielba Rojas

Zdroj: BIT Numerical Mathematics. 45:329-340

Témata: regularization, Numerical solutions to overdetermined systems, pseudoinverses, algorithm, Ill-posedness and regularization problems in numerical linear algebra, sideways heat equation, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences, discrete ill posed problems, confidence intervals

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s10543-005-7122-y
http://core.ac.uk/display/24642336
http://sakai.wfu.edu/access/content/group/26f503c9-bec7-4bb7-bdab-82ed8fda9d39/publications/rojas/elden-hansen-rojas1.pdf
http://ta.twi.tudelft.nl/wagm/users/rojas/elden-hansen-rojas.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:243151

Numerical solution of a Cauchy problem for the Laplace equation

Autoři: Lars Eldén Fredrik Berntsson

Zdroj: Inverse Problems. 17:839-853

Témata: Finite difference methods for boundary value problems involving PDEs, Cauchy problem, Inverse problems for PDEs, second central finite difference, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, conformal mapping, Numerical methods for inverse problems for boundary value problems involving PDEs, Tikhonov regularization, least squares problem, Laplace equation, ill-posed problem, numerical results, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, fast Fourier transform, 01 natural sciences, inner boundary, Ill-posedness and regularization problems in numerical linear algebra, steady state heat conduction problem, Conformal mappings of special domains, 0101 mathematics, outer boundary, ill-posedness

Popis souboru: application/xml

Přístupová URL adresa: http://www.diva-portal.org/smash/record.jsf?pid=diva2:268192
http://iopscience.iop.org/article/10.1088/0266-5611/17/4/316/pdf
http://iopscience.iop.org/0266-5611/17/4/316
https://iopscience.iop.org/article/10.1088/0266-5611/17/4/316/meta
http://ui.adsabs.harvard.edu/abs/2001InvPr..17..839B/abstract

regularization methods for blind deconvolution and blind source separation problems: Regularization methods for blind deconvolution and blind source separation problems

Autoři: Martin Burger Otmar Scherzer

Zdroj: Mathematics of Control, Signals, and Systems. 14(4):358-383

Témata: Signal theory (characterization, reconstruction, filtering, etc.), blind deconvolution, ill-posed problems, regularization, Estimation and detection in stochastic control theory, Ill-posedness and regularization problems in numerical linear algebra, Identification in stochastic control theory, neural network, blind source separation, identification, convolution, Neural networks for/in biological studies, artificial life and related topics, Computing methodologies for image processing

Popis souboru: application/xml

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/mcss/mcss14.html#BurgerS01
https://link.springer.com/article/10.1007%2Fs498-001-8041-y
https://link.springer.com/content/pdf/10.1007/s498-001-8041-y.pdf

Steepest Descent, CG, and Iterative Regularization of Ill-Posed Problems: Steepest descent, CG, and iterative regularization of ill-posed problems

Autoři: James G. Nagy Katrina Palmer

Zdroj: BIT Numerical Mathematics. 43:1003-1017

Témata: Iterative numerical methods for linear systems, numerical examples, convergence, steepest descent, Numerical computation of matrix norms, conditioning, scaling, ill-posed problem, image restoration, 01 natural sciences, regularization, Ill-posedness and regularization problems in numerical linear algebra, preconditioning, conjugate gradient, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2073443
https://doi.org/10.1023/b:bitn.0000014546.51341.53
https://link.springer.com/article/10.1023%2FB%3ABITN.0000014546.51341.53

Regularization of Linear Discrete-Time Periodic Descriptor Systems by Derivative and Proportional State Feedback: Regularization of linear discrete-time periodic descriptor systems by derivative and proportional state feedback

Autoři: Wen-Wei Lin Yuen-Cheng Kuo Shu-Fang Xu

Zdroj: SIAM Journal on Matrix Analysis and Applications. 25:1046-1073

Témata: regularization, 0209 industrial biotechnology, Discrete-time control/observation systems, Ill-posedness and regularization problems in numerical linear algebra, Canonical structure, derivative and proportional feedback, 02 engineering and technology, Feedback control, 0101 mathematics, 01 natural sciences, Computational methods in systems theory, linear periodic descriptor systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2135298
https://doi.org/10.1137/s0895479802412632

A Unified Theoryof Conditioning for Linear Least Squares and Tikhonov Regularization Solutions: A unified theory of conditioning for linear least squares and Tikhonov regularization solutions

Autoři: Alexander Malyshev

Zdroj: SIAM Journal on Matrix Analysis and Applications. 24:1186-1196

Témata: Numerical solutions to overdetermined systems, pseudoinverses, Ill-posedness and regularization problems in numerical linear algebra, Tikhonov regularization, Numerical computation of matrix norms, conditioning, scaling, constrained least squares, 0101 mathematics, 01 natural sciences, Conditioning of matrices, condition number

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2027950
https://doi.org/10.1137/s0895479801389564
https://epubs.siam.org/doi/abs/10.1137/S0895479801389564
https://dblp.uni-trier.de/db/journals/siammax/siammax24.html#Malyshev03
https://dialnet.unirioja.es/servlet/articulo?codigo=2848138

Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems: Choosing regularization parameters in iterative methods for ill-posed problems

Autoři: Misha E. Kilmer Dianne P. O'Leary

Zdroj: SIAM Journal on Matrix Analysis and Applications. 22:1204-1221

Témata: ill-posed problems, Iterative numerical methods for linear systems, numerical examples, Ill-posedness and regularization problems in numerical linear algebra, Tikhonov regularization, discrepancy principle, iterative methods, truncated singular value decomposition, L-curve, 0101 mathematics, 01 natural sciences, Krylov subspace method

Popis souboru: application/xml

Přístupová URL adresa: https://drum.lib.umd.edu/bitstream/1903/967/2/CS-TR-3937.pdf
https://zbmath.org/1608858
https://doi.org/10.1137/s0895479899345960

Sparse Linear Algebra and Geophysical Migration: A Review of Direct and Iterative Methods: Sparse linear algebra and geophysical migration: a review of direct and iterative methods

Autoři: Yann-Hervé De Roeck

Zdroj: Numerical Algorithms. 29:283-322

Témata: Computational methods for sparse matrices, Seismology (including tsunami modeling), earthquakes, Ill-posedness and regularization problems in numerical linear algebra, Theory of matrix inversion and generalized inverses, Inverse problems in geophysics, Direct numerical methods for linear systems and matrix inversion, Inverse problems in linear algebra, 01 natural sciences, 0105 earth and related environmental sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1764744
https://doi.org/10.1023/a:1015210828153
https://ui.adsabs.harvard.edu/abs/2002NuAlg..29..283D/abstract
https://link.springer.com/article/10.1023/A:1015210828153
https://dblp.uni-trier.de/db/journals/na/na29.html#Roeck02

Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems

Autoři: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Parra López, Juan a další

Přispěvatelé: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Parra López, Juan a další

Zdroj: Mathematical Programming. 103:95-126

Témata: Linear inequality systems, regularity, distance to ill-posedness, Linear inequalities of matrices, 0211 other engineering and technologies, linear inequality systems, 02 engineering and technology, stability, ellipsoid algorithm, Regularity, Well-posedness, Ill-posedness and regularization problems in numerical linear algebra, Numerical mathematical programming methods, well-posedness, Estadística e Investigación Operativa, Linear programming, Inequalities and extremum problems involving convexity in convex geometry, Semi-infinite programming, Stability, Distance to ill-posedness

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2168042
https://doi.org/10.1007/s10107-004-0519-6
https://dblp.uni-trier.de/db/journals/mp/mp103.html#CanovasLPT05
http://rua.ua.es/dspace/handle/10045/75153
https://link.springer.com/article/10.1007/s10107-004-0519-6
https://doi.org/10.1007/s10107-004-0519-6
https://hdl.handle.net/10045/75153

Joint inversion of compact operators

Autoři: Jodi L. Mead James F. Ford

Zdroj: Journal of Inverse and Ill-posed Problems. 28:105-118

Témata: regularization, CGISS, Ill-posedness and regularization problems in numerical linear algebra, singular values, joint inversion, Inverse problems in geophysics, Inverse problems in linear algebra, Numerical methods for inverse problems for integral equations, 01 natural sciences, Mathematics, compact operators, 0105 earth and related environmental sciences

Popis souboru: application/xml

Přístupová URL adresa: https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2391&context=td