Some eigenvalue properties of persymmetric matrices

Document Type

Article

Publication Date

1-1-1997

Abstract

A matrix is called persymmetric (Golub and Van Loan, Matrix Computations, The Johns Hopkins University Press, 1989) if it is symmetric across its lower-left to upper-right diagonal, with similar definitions for per-antisymmetric and per-Hermitian matrices. This note shows some useful eigenvalue and eigenvector properties of matrices with two symmetries, such as matrices which are symmetric and persymmetric.

Publication Title

SIAM Review

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