First order structured perturbation theory for multiple zero eigenvalues of skew-adjoint matrices

DOI10.1016/j.laa.2013.05.025zbMath1310.15018OpenAlexW2075082967MaRDI QIDQ466505

Julio Moro, María José Peláez

Publication date: 27 October 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.05.025

zbMATH Keywords

condition numberJordan canonical formmultiple eigenvalueNewton diagramstructured matricesstructured condition number

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12)

Related Items (1)

On the two-sided perplectic singular value decomposition and perplectically diagonalizable matrices

Cites Work

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• On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem
• Eigenvalues, pseudospectrum and structured perturbations
• First order spectral perturbation theory of square singular matrix pencils
• Analytic perturbation theory for matrices and operators. Licensed ed
• A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
• On the condition of a complex eigenvalue under real perturbations
• A note on structured pseudospectra.
• Eigenvalue condition numbers: zero-structured versus traditional.
• Structured Pseudospectra and the Condition of a Nonderogatory Eigenvalue
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• Backward Error and Condition of Structured Linear Systems
• A Chart of Numerical Methods for Structured Eigenvalue Problems
• Structured Backward Error and Condition of Generalized Eigenvalue Problems
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
• A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems
• Structure preserving algorithms for perplectic eigenproblems
• Structured Hölder Condition Numbers for Multiple Eigenvalues

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