Kaczmarz-Type Methods for Solving Matrix Equations

05/31/2023

∙

by   Weiguo Li, et al.

∙

0

∙

share

In this paper, several Kaczmarz-type numerical methods for solving the matrix equation AX=B and XA=C are proposed, where the coefficient matrix A 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.