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Some numerical aspects of Arnoldi-Tikhonov regularization (Q6101769)

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scientific article; zbMATH DE number 7699021

Language	Label	Description	Also known as
English	Some numerical aspects of Arnoldi-Tikhonov regularization	scientific article; zbMATH DE number 7699021

Statements

scholarly article

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Some numerical aspects of Arnoldi-Tikhonov regularization (English)

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Applied Numerical Mathematics

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publication date

20 June 2023

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zbMATH Keywords

ill-posed problem

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regularization

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Arnoldi decomposition

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discrepancy principle

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2022.12.009

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The Use of Auto-correlation for Pseudo-rank Determination in Noisy III-conditioned Linear Least-squares Problems

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A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations

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Generalized singular value decomposition with iterated Tikhonov regularization

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An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images

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Tikhonov regularization and the L-curve for large discrete ill-posed problems

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Tikhonov regularization of large linear problems

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Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms

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Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization

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Multi-parameter Arnoldi-Tikhonov methods

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On Krylov projection methods and Tikhonov regularization

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Regularization tools version \(4.0\) for matlab \(7.3\)

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On the choice of solution subspace for nonstationary iterated Tikhonov regularization

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Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems

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A simplified L-curve method as error estimator

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FGMRES for linear discrete ill-posed problems

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An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error

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A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

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Error estimates for Arnoldi–Tikhonov regularization for ill-posed operator equations

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Old and new parameter choice rules for discrete ill-posed problems

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A new zero-finder for Tikhonov regularization

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A Flexible Inner-Outer Preconditioned GMRES Algorithm

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Improvement of the resolution of an instrument by numerical solution of an integral equation

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Identifiers

zbMATH Open document ID

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10.1016/j.apnum.2022.12.009

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6101769

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