Kaczmarz-Type Methods for Solving Matrix Equations
Numerical Analysis
2023-06-01 v1 Numerical Analysis
Abstract
In this paper, several Kaczmarz-type numerical methods for solving the matrix equation and are proposed, where the coefficient matrix may be full rank or rank deficient. These methods are iterative methods without matrix multiplication. Theoretically, the convergence of these methods is proved. The numerical results show that these methods are more efficient than iterative methods involving matrix multiplication for high-dimensional matrices.
Cite
@article{arxiv.2305.19508,
title = {Kaczmarz-Type Methods for Solving Matrix Equations},
author = {Weiguo Li and Wendi Bao and Lili Xing and Zhiwei Guo},
journal= {arXiv preprint arXiv:2305.19508},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2305.16684