An inexact Newton-type method for inverse singular value problems

DOI10.1016/j.laa.2008.03.008zbMath1154.65021OpenAlexW2082523803MaRDI QIDQ929480

Zheng-Jian Bai, Shu-fang Xu

Publication date: 17 June 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.008

zbMATH Keywords

numerical experimentssuperlinear convergenceinexact Newton-type methodinverse singular value problemsroot-convergence rate

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (12)

Newton-type methods for inverse singular value problems with multiple singular values ⋮ Two-step inexact Newton-type method for inverse singular value problems ⋮ Unnamed Item ⋮ An extended Ulm-like method for inverse singular value problems with multiple and/or zero singular values ⋮ Parameterized inverse singular value problem for anti-bisymmetric matrices ⋮ Extended Newton-type method for inverse singular value problems with multiple and/or zero singular values ⋮ On the unsolvability of inverse singular value problems almost everywhere ⋮ A backward error for the inverse singular value problem ⋮ On the local convergence of inexact Newton-type methods under residual control-type conditions ⋮ Convergence of a Ulm-like method for square inverse singular value problems with multiple and zero singular values ⋮ Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values ⋮ A Guass–Newton-like method for inverse eigenvalue problems

Uses Software

• CGS

Cites Work

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• Low rank update of singular values
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations

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