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math.RA2026
Explicit Determinants of Homogeneous Polynomial Evaluation Matrices and Applications
Somphong Jitman, Wannarut Rungrottheera
In this work, the determinants of matrices constructed by evaluating homogeneous bivariate polynomials at pairs of vectors are investigated. For a polynomial $p(x,y)=\sum\limits_{i…
math.RA2025
On the Enumeration of Symmetric Tridiagonal Matrices with prescribed Determinant over Commutative Finite Chain Rings
Edgar Martinez-Moro, Neennara Rodnit, Somphong Jitman
Determinants of structured matrices play a fundamental role in both pure and applied mathematics, with wide-ranging applications in linear algebra, combinatorics, coding theory, an…