The Spectral Variation of Pencils of Matrices

The Spectral Variation of Pencils of Matrices

Year:    1985

Author:    L. Elsner, P. Lancaster

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 262–274

Abstract

Perturbation theorems for the spectrum of a regular matrix pencil $λA-B$ are given. As it may include points near or at infinity the Euclidean distance is not appropriate. We use the chordal metric and the distances. For those purpose we develop here an algebraic treatment of matrix pairs, with special reference to diagonable and definite pairs, using ideas from the theory of matrix polynomials.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9623

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 262–274

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

Author Details

L. Elsner

P. Lancaster