Fiedler Matrices and Their Factorization
Mathematics and Natural Sciences
Let A be an m × 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 Fielder matrices. In particular, the factorization of Fielder matrices into Fiedler matrices is investigated.
Linear Algebra and Its Applications
Stuart, J. L.,
Weaver, J. R.
(1998). Fiedler Matrices and Their Factorization. Linear Algebra and Its Applications, 276, 579-594.
Available at: https://aquila.usm.edu/fac_pubs/4996