Factorisation of cross-symmetric, totally nonnegative matrices and an amazing matrix
T H Lenagan, A P Neate
TL;DR
This paper proves a new factorisation theorem for a special class of matrices and demonstrates its application by confirming the total nonnegativity of specific cases of Holte's Amazing Matrix.
Contribution
It introduces a novel factorisation theorem for invertible, cross-symmetric, totally nonnegative matrices and applies it to verify properties of Holte's Amazing Matrix.
Findings
Established a factorisation theorem for the matrices.
Verified total nonnegativity of certain Holte's Amazing Matrix cases.
Enhanced understanding of matrix structures in nonnegative matrix theory.
Abstract
We establish a factorisation theorem for invertible, cross-symmetric, totally nonnegative matrices, and illustrate the theory by verifying that certain cases of Holte's Amazing Matrix are totally nonnegative.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems