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Kaczmarz-Type Methods for Solving Matrix Equations
- Publication Year :
- 2023
-
Abstract
- 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.<br />Comment: arXiv admin note: text overlap with arXiv:2305.16684
- Subjects :
- Mathematics - Numerical Analysis
65F10, 65F20, 65F30, 65F50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.19508
- Document Type :
- Working Paper