Convergence Analysis of Newton-Like Methods for Inverse Eigenvalue Problems with Multiple Eigenvalues

DOI10.1137/15M1049063zbMath1350.65031OpenAlexW2525371312MaRDI QIDQ2823021

Chong Li, Wei-Ping Shen, Jen-Chih Yao

Publication date: 6 October 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1049063

zbMATH Keywords

Newton's methodnonlinear equationNewton-like methodinverse eigenvalue problemmultiple eigenvaluesquadratical convergence

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (5)

On Parameterised Quadratic Inverse Eigenvalue Problem ⋮ An Extended Two-Step Method for Inverse Eigenvalue Problems with Multiple Eigenvalues ⋮ A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues ⋮ 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

Cites Work

• A Ulm-like method for inverse eigenvalue problems
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• The inexact Newton-like method for inverse eigenvalue problem
• Structured inverse eigenvalue problems
• An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues
• Inverse Problems in Vibration
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• On the Convergence Rate of a Quasi-Newton Method for Inverse Eigenvalue Problems
• Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices
• Inverse Eigenvalue Problems
• Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application to Inverse Eigenvalue Problems
• An inexact Cayley transform method for inverse eigenvalue problems
• On decentralized dynamic pole placement and feedback stabilization
• Inverse eigenvalue problem in structural design
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