36 citations · 36 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Construction of New Generalizations of Wynn's Epsilon and Rho Algorithm by Solving Finite Difference Equations in the Transformation Order
Xiang-Ke Chang, Yi He, Xing-Biao Hu +2
We construct new sequence transformations based on Wynn's epsilon and rho algorithms. The recursions of the new algorithms include the recursions of Wynn's epsilon and rho algorith…
Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation
Yi He, Xing-Biao Hu, Jian-Qing Sun +1
The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this equation can for certain…
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Claude Brezinski, Yi He, Xing-Biao Hu +2
In this paper, we give a multistep extension of the epsilon-algorithm of Wynn, and we show that it implements a multistep extension of the Shanks' sequence transformation which is…