RELATIVE PERTURBATION BOUNDS FOR THE JOINT SPECTRUM OF COMMUTING TUPLES OF MATRICES

DOI10.1017/S0004972718000424zbMath1401.15015arXiv1710.05215OpenAlexW2963073556MaRDI QIDQ4559266

P. D. Srivastava, Arnab Patra

Publication date: 3 December 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05215

zbMATH Keywords

Clifford algebracommuting matricesjoint eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Clifford algebras, spinors (15A66)

Related Items (1)

A new inequality for the Hausdorff distance between spectra of two matrices

Cites Work

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• A generalization of the Hoffman-Wielandt theorem
• Perturbation bounds for the joint spectrum of commuting matrices
• On the variation of the spectrum of a normal matrix
• The variation of the spectrum of a normal matrix
• The perturbation bounds for eigenvalues of normal matrices
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds

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