Title of article :
Iterative Method for Mirror-Symmetric Solution of Matrix Equation AXB + CY D = E
Author/Authors :
LI, J. F. Guilin University of ElectronicTechnology - School of Mathematics and Computational Science, China , HU, X. Y. Hunan University - College of Mathematics and Econometrics, China , DUAN, X. F. Guilin University of Electronic Technology - School of Mathematics and Computational Science, China , ZHANG, L. Hunan University - College of Mathematics and Econometrics, China
Abstract :
Mirror-symmetric matrices have important applications in studying odd/even-mode decomposition of symmetric multiconductor transmission lines (MTL). In this paper, we propose an iterative algorithm to solve the mirror-symmetric solution of matrix equation AXB + CY D = E. With it, the solvability of the equation over mirror-symmetric X, Y can be determined automatically. When the equation is consistent, its solution can be obtained within finite iteration steps, and its least-norm mirror-symmetric solution can be obtained by choosing a special kind of initial iteration matrices. Furthermore, the related optimal approximation problem is also solved. Numerical examples are given to show the efficiency of the presented method
Keywords :
Matrix equation , mirror , symmetric matrix , iterative method , optimal approximation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
