Estimation of the Separation of Two Matrices

Estimation of the Separation of Two Matrices

Year:    1984

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 189–200

Abstract

The estimation of the solution to the matrix equation AX-XB=C is primarily dependent on the quantity sep(A,B) introduced by Stewart. Varah has given some examples to show that $sep_F(A,B)$ can be very small even though the eigenvalues of A and B are well separated. In this paper we give some lower bounds of $sep_F(A,B)$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1984-JCM-9653

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 189–200

Published online:    1984-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords: