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Article

A New Method for Solving Matrix Equation AXB + CXT D = E

by
Minghui Wang
Department of Mathematics Qingdao University of Science and Technology, 266061, Qingdao, Shandong, PR China
Math. Comput. Appl. 2013, 18(1), 12-18; https://doi.org/10.3390/mca18010012
Published: 1 April 2013
Versions Notes

Abstract

In this paper, we propose a new iterative algorithm to solve the matrix equation AXB + CXT D = E. The algorithm can obtain the minimal Frobenius norm solution or the least-squares solution with minimal Frobenius norm. Our algorithm is better than Algorithm II of the paper [M. Wang, etc., Iterative algorithms for solving the matrix equation AXB + CXT D = E, Appl. Math. Comput. 187, 622-629, 2007]
Keywords: Iterative algorithm; Kronecker product; LSQR; Matrix equation; Least Squares Iterative algorithm; Kronecker product; LSQR; Matrix equation; Least Squares

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MDPI and ACS Style

Wang, M. A New Method for Solving Matrix Equation AXB + CXT D = E. Math. Comput. Appl. 2013, 18, 12-18. https://doi.org/10.3390/mca18010012

AMA Style

Wang M. A New Method for Solving Matrix Equation AXB + CXT D = E. Mathematical and Computational Applications. 2013; 18(1):12-18. https://doi.org/10.3390/mca18010012

Chicago/Turabian Style

Wang, Minghui. 2013. "A New Method for Solving Matrix Equation AXB + CXT D = E" Mathematical and Computational Applications 18, no. 1: 12-18. https://doi.org/10.3390/mca18010012

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