Document Type

Article

Publication Date

2001

Department

Mathematics

Abstract

For a class of n × n-matrices, we get related real solutions to the matrix equation Φt (A) = 1/n Jn by generalizing the approach of and applying the results of Zhang, Yang, and Cao [SIAM J. Matrix Anal. Appl., 21 (1999), pp. 642–645]. These solutions contain not only those obtained by Zhang, Yang, and Cao but also some which are neither diagonally nor permutation equivalent to those obtained by Zhang, Yang, and Cao. Therefore, the open problem proposed by Zhang, Yang, and Cao in the cited paper is solved.

Comments

This article was originally published in SIAM Journal on Matrix Analysis and Applications, 22(3): 965-970. © 2001 Society for Industrial and Applied Mathematics.

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