A study on Vandermonde-like polynomial matrices
Augusto Ferrante, Fabrizio Padula, Lorenzo Ntogramatzidis
TL;DR
This paper introduces a new class of structured matrices related to Vandermonde matrices and derives a closed-form determinant formula, enhancing understanding of their algebraic properties.
Contribution
The paper presents a novel class of Vandermonde-like polynomial matrices and provides a closed-form determinant formula, expanding the theoretical framework of structured matrices.
Findings
Derived a closed-form determinant formula for the new matrix class
Established strong connections with Vandermonde matrices
Enhanced understanding of algebraic properties of structured matrices
Abstract
A new class of structured matrices is presented and a closed form formula for their determinant is established. This formula has strong connections with the one for Vandermonde matrices.
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Taxonomy
TopicsMatrix Theory and Algorithms