First- and second-order eigensensitivities of matrices with distinct eigenvalues

DOI10.1080/00207728808547145zbMath0652.15003OpenAlexW2029338834MaRDI QIDQ3797312

Yen-Lei Ling, Bor-Chyun Wang

Publication date: 1988

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728808547145

zbMATH Keywords

eigenvalueKronecker productssensitivity matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12)

Related Items (3)

\(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues ⋮ Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues? ⋮ Eigenvalue-eigenvector sensitivity formulae for linear descriptor systems

Cites Work

• Eigenvalue sensitivity of linear time-invariant control systems with repeated eigenvalues
• The Algebraic Theory of Matrix Polynomials
• Kronecker products and matrix calculus in system theory
• Eigenvalue and eigenvector sensitivities in linear systems theory†
• Matrix Calculus Operations and Taylor Expansions
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