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Optimal bounds for the spectral variation of two regular matrix pairs

โœ Scribed by Guoxing Wu

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
130 KB
Volume
418
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

For the generalized eigenvalue problem, we establish upper bounds for the spectral variation of two regular matrix pairs some of which are optimal. We describe the set of regular matrix pairs for which the bounds are attained.

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Upper bounds for the spectral variation of two regular matrix pairs have been given in [Guoxing Wu, Optimal bounds for the spectral variation of two regular matrix pairs, Linear Algebra Appl. 418 (2006) 891-899; G.W. Stewart, An Elsner-like perturbation theorem for generalized eigenvalues, Linear Al

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