Solving the inverse eigenvalue problem via the eigenvector matrix

DOI10.1016/0377-0427(91)90214-5zbMath0727.65029OpenAlexW2006386896MaRDI QIDQ803722

Dirk P. Laurie

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90214-5

zbMATH Keywords

rotationsalgorithmNewton's methodeigenvectorsinverse eigenvalue problemsymmetric matricesNumerical examplesRayleigh quotientseigenvector matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items

Centrosymmetric isospectral flows and some inverse eigenvalue problems ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ The reconstruction of an Hermitian Toeplitz matrix with prescribed eigenpairs ⋮ Isospectral flows and the inverse eigenvalue problem for Toeplitz matrices

Cites Work

• The numerically stable reconstruction of Jacobi matrices from spectral data
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• A Numerical Approach to the Inverse Toeplitz Eigenproblem
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