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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…
math.CO2024
Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials
Zong-Jun Yao, Shi-Hao Li
In this paper, we mainly consider a combinatoric explanation for block Pfaffians in terms of non-intersecting paths, as a generalization of results obtained by Stembridge. As appli…