Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation
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Publication:5237897
DOI10.1137/18M1188628zbMath1435.65056arXiv1805.07657OpenAlexW2805007958WikidataQ127320779 ScholiaQ127320779MaRDI QIDQ5237897
Bor Plestenjak, Christian Mehl, Michiel E. Hochstenbach
Publication date: 25 October 2019
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.07657
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ill-posedness and regularization problems in numerical linear algebra (65F22) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)
Related Items
Solving two-parameter eigenvalue problems using an alternating method, Wilkinson's bus: weak condition numbers, with an application to singular polynomial eigenproblems, Exact robust D-stability analysis for linear dynamical systems with polynomial parameter perturbation, Finite rank perturbations of linear relations and matrix pencils, Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach, Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem, Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation, Singular quadratic eigenvalue problems: linearization and weak condition numbers, Generic Eigenstructures of Hermitian Pencils
Uses Software
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