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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A Henrici theorem for joint spectra of commuting matrices


Authors: Rajendra Bhatia and Tirthankar Bhattacharyya
Journal: Proc. Amer. Math. Soc. 118 (1993), 5-14
MSC: Primary 15A42; Secondary 15A66, 47A13
DOI: https://doi.org/10.1090/S0002-9939-1993-1160292-7
MathSciNet review: 1160292
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Abstract: A version of Henrici's classical perturbation theorem for eigenvalues of matrices is obtained for joint spectra of commuting tuples of matrices. The approach involves Clifford algebra techniques introduced by McIntosh and Pryde.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1160292-7
Keywords: Clifford algebras, commuting tuples of matrices, joint spectrum, spectral variation, Henrici's theorem, measure of nonnormality
Article copyright: © Copyright 1993 American Mathematical Society