3 papers
math-ph2025
Quasi-Pfaffians and applications
Claire Gilson, Shi-Hao Li, Guo-Fu Yu
This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew…
math-ph2025
Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
Shi-Hao Li, Satoshi Tsujimoto, Ryoto Watanabe +1
This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out tha…
math.NA2024
Discrete non-commutative hungry Toda lattice and its application in matrix computation
Zheng Wang, Shi-Hao Li, Kang-Ya Lu +1
In this paper, we plan to show an eigenvalue algorithm for block Hessenberg matrices by using the idea of non-commutative integrable systems and matrix-valued orthogonal polynomial…