Generalized eigenvalue problems with specified eigenvalues

DOI10.1093/imanum/drt021zbMath1288.65051arXiv1009.2222OpenAlexW2102062010MaRDI QIDQ5416813

Emre Mengi, Ivica Nakić, Ninoslav Truhar, Daniel Kressner

Publication date: 15 May 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2222

zbMATH Keywords

numerical exampleseigenvaluesLipschitz continuitySylvester equationmatrix pencilsinverse eigenvalue problemsglobal optimization algorithmsoptimization of singular values

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to inverse eigenvalue problems (65F18) Matrix pencils (15A22)

Related Items (8)

Generalized subspace iteration method for solving matrix pair eigenproblem ⋮ A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils ⋮ Matrix polynomials with specified eigenvalues ⋮ Nearest Matrix Polynomials With a Specified Elementary Divisor ⋮ Solvability and uniqueness criteria for generalized Sylvester-type equations ⋮ Newton's method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils ⋮ Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair ⋮ An Algorithm for the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils by Minimal Perturbation Approach

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