Fiedler matrices and their factorization
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.
LINEAR ALGEBRA AND ITS APPLICATIONS
(1998). Fiedler matrices and their factorization. LINEAR ALGEBRA AND ITS APPLICATIONS, 276, 579-594.
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