Title

Fiedler matrices and their factorization

Document Type

Article

Publication Date

5-1-1998

Department

Mathematics

Abstract

Let A be an m x n real matrix with m > n such that the submatrix of A consisting of the first n rows of A is a nonsingular, lower triangular matrix and such that the submatrix of A consisting of the last n rows of A is a nonsingular, upper triangular matrix. Miroslav Fiedler introduced such matrices and called them column-rhomboidal. The structure and properties of column stochastic, centrosymmetric, column-rhomboidal matrices with constant row sums is examined. These matrices are called Fiedler matrices. In particular, the factorization of Fiedler matrices into Fiedler matrices is investigated. (C) 1998 Elsevier Science Inc. All rights reserved.

Publication Title

LINEAR ALGEBRA AND ITS APPLICATIONS

Volume

276

First Page

579

Last Page

594