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A new localization set for generalized eigenvalues. (English) Zbl 1381.15006

Summary: A new localization set for generalized eigenvalues is obtained. It is shown that the new set is tighter than that in [V. Kostić et al., Numer. Linear Algebra Appl. 16, No. 11–12, 883–898 (2009; Zbl 1224.65094)]. Numerical examples are given to verify the corresponding results.

MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A22 Matrix pencils

Citations:

Zbl 1224.65094
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Full Text: DOI

References:

[1] Kostić, V, Cvetković, LJ, Varga, RS: Geršgorin-type localizations of generalized eigenvalues. Numer. Linear Algebra Appl. 16, 883-898 (2009) · Zbl 1224.65094
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