Elliptic Cauchy matrices
V. Prokofev, A. Zabrodin
TL;DR
This paper presents and proves various identities related to elliptic Cauchy matrices, including determinant, inverse, product, and factorization formulas, advancing the understanding of their algebraic properties.
Contribution
It introduces new identities for elliptic Cauchy matrices, including determinant and inverse formulas, expanding the theoretical framework of elliptic matrix analysis.
Findings
Derived determinant formula for elliptic Cauchy matrices
Established inverse matrix formula
Proved matrix product and factorization identities
Abstract
Some identities that involve the elliptic version of the Cauchy matrices are presented and proved. They include the determinant formula, the formula for the inverse matrix, the matrix product identity and the factorization formula.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematics and Applications · Advanced Mathematical Theories and Applications