On the distance from a matrix polynomial to matrix polynomials with k prescribed distinct eigenvalues
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Publication:2979454
DOI10.1080/03081087.2016.1202181zbMath1360.15013arXiv1405.2093OpenAlexW2115361039MaRDI QIDQ2979454
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Publication date: 25 April 2017
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2093
Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (3)
Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues ⋮ On the distance from a matrix polynomial to matrix polynomials with some prescribed eigenvalues ⋮ Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two
Cites Work
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- Nearest matrix with prescribed eigenvalues and its applications
- The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
- On condition numbers and the distance to the nearest ill-posed problem
- Nearest matrix with two prescribed eigenvalues
- A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues
- On the distance to the closest matrix with triple zero eigenvalue
- Fixing multiple eigenvalues by a minimal perturbation
- Properties of a matrix with a very ill-conditioned eigenproblem
- Note on matrices with a very ill-conditioned eigenproblem
- Fixing two eigenvalues by a minimal perturbation
- The Quadratic Eigenvalue Problem
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