A Guass–Newton-like method for inverse eigenvalue problems

DOI10.1080/00207160.2012.750721zbMath1280.65037OpenAlexW2024314817MaRDI QIDQ2855765

Zhibo Wang, Seak Weng Vong

Publication date: 22 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.750721

zbMATH Keywords

numerical experimentseigenvectorsiterative methodsinverse eigenvalue problemleast squares solutionGauss-Newton methodinverse power method

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (3)

A geometric Gauss-Newton method for least squares inverse eigenvalue problems ⋮ The Riemannian two-step perturbed Gauss-Newton method for least squares inverse eigenvalue problems ⋮ A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems

Uses Software

• Matlab

Cites Work

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• A Ulm-like method for inverse eigenvalue problems
• An inexact Newton-type method for inverse singular value problems
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• On the local convergence of an iterative approach for inverse singular value problems
• An Ulm-like Method for Inverse Singular Value Problems
• Structured inverse eigenvalue problems
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• On the Convergence Rate of a Quasi-Newton Method for Inverse Eigenvalue Problems
• Inverse Eigenvalue Problems
• An inexact Cayley transform method for inverse eigenvalue problems
• On the Continuity of the Generalized Inverse
• Perturbation theory for pseudo-inverses

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