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On upper bounds for the spectral variation of two regular matrix pairs

✍ Scribed by Guoxing Wu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 102 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.03.004

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✦ Synopsis

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 Algebra Appl. 390 (2004) 1-5; Ren-cang Li, On the variation of the spectra of matrix pencils, Linear Algebra Appl. 139 (1990) 147-164]. In this note we show that some of the upper bounds are optimal and some others are strict.

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