5 papers
Splitting-based randomized dynamical low-rank approximations for stiff matrix differential equations
Zi Wu, Yong-Liang Zhao, Xian-Ming Gu
In the fields of control theory and machine learning, the dynamic low-rank approximation for large-scale matrices has received substantial attention. Considering large-scale semili…
A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling
Pu Yuan, Paul Zegeling, Xian-Ming Gu
In this paper, we study an evolution equation that involves a half-Laplacian operator derived from the Riesz fractional Laplacian, combined with a differential operator \(\mathcal{…
New Randomized Global Generalized Minimum Residual (RGl-GMRES) method
Achraf Badahmane, Xian-Ming GU
In this paper, we develop a new Randomized Global Generalized Minimum Residual (RGlGMRES) algorithm for efficiently computing solutions to large scale linear systems with multiple…
Error Analysis of Krylov Subspace approximation Based on IDR() Method for Matrix Function Bilinear Forms
Qianqian Xue, Xiaoqiang Yue, Xian-Ming Gu
The matrix function bilinear form, namely , appears in many scientific computing problems, where , $A \in \…
A note on the growth factor in Gaussian elimination for Higham matrices
Qian-Ping Guo, Xian-Ming Gu, Hou-biao Li
The Higham matrix is a complex symmetric matrix A=B+iC, where both B and C are real, symmetric and positive definite and is the imaginary unit. For any Higha…