Estimation of the Separation of Two Matrices (Ⅱ)

Estimation of the Separation of Two Matrices (Ⅱ)

Year:    1985

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 19–26

Abstract

In this paper we give a lower bound of the separation $sep_F(A,B)$ of two diagonalizable matrices A and B. The key to finding the lower bound of $sep_F(A,B)$ is to find an upper bound for the condition number of a transformation matrix Q which transforms a diagonalizable matrix A to a diagonal form. The obtained lower bound of $sep_F(A,B)$ involves the eigenvalues of A and B as well as the departures form the normality $\delta_F(A)$ and $\delta_F(B)$. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9603

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 19–26

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: