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On Affine Homogeneous Polynomial Centrosymmetric Matrices by Manoel, Miriam; Nery, Leandro is a scholarly article available to read on EtoBox.

What is On Affine Homogeneous Polynomial Centrosymmetric Matrices about?

We explore a class of centrosymmetric matrices whose entries are polynomials in two variables, referred to as DNA matrices. Our motivation stems from an unexpected connection between these matrices and invariant polynomials under the action of a Lorentz rotation on the plane. Among several noteworthy properties, we establish that within a subclass of DNA matrices, singular matrices occur precisely when their order is even, and we determine their null space in such cases. The results provide new insights into the structural characteristics of centrosymmetric matrices, expanding their theoretical foundations and potential applications.

Author

Manoel, Miriam; Nery, Leandro

Published

2025

Language

EN