Bounds for the smallest singular value of a Jordan block with an application to eigenvalue perturbation

DOI10.1016/0024-3795(94)90510-XzbMath0833.15016OpenAlexW2068169767MaRDI QIDQ1320013

Er-Xiong Jiang

Publication date: 18 March 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90510-x

zbMATH Keywords

boundssmallest singular valueeigenvalue perturbationHessenberg matricesJordan canonical blocks

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

Data Driven Modal Decompositions: Analysis and Enhancements ⋮ Rotated block diagonal preconditioners for Navier-Stokes control problems ⋮ Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media ⋮ Similarity vs unitary similarity and perturbation analysis of sign characteristics: complex and real indefinite inner products ⋮ PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems ⋮ Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization ⋮ On singular values related to DAEs in Kronecker canonical form ⋮ On covering monotonic paths with simple random walk ⋮ Challenging eigenvalue perturbation problems ⋮ Perturbation bound of the Drazin inverse

Cites Work

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• On spectral variation of a nonnormal matrix
• Residual Bounds on Approximate Eigensystems of Nonnormal Matrices

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