Challenging eigenvalue perturbation problems

DOI10.1016/S0024-3795(97)10086-6zbMath0933.15031MaRDI QIDQ1307297

Er-Xiong Jiang

Publication date: 4 April 2000

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

zbMATH Keywords

perturbation theoryerror boundmatrix eigenvaluesmatrix spectral condition number

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Conditioning of matrices (15A12)

Related Items (1)

Perturbation bounds for polynomials

Cites Work

• Norms and exclusion theorems
• On spectral variation of a nonnormal matrix
• Bounds for the smallest singular value of a Jordan block with an application to eigenvalue perturbation
• Bounds for the variation of matrix eigenvalues and polynomial roots
• An upper bound for the spectral condition number of a diagonalizable matrix
• The condition numbers of the matrix eigenvalue problem

This page was built for publication: Challenging eigenvalue perturbation problems