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February 2018 A new algorithm for the symmetric solution of the matrix equations AXB=E and CXD=F
Chunmei Li, Xuefeng Duan, Juan Li, Sitting Yu
Ann. Funct. Anal. 9(1): 8-16 (February 2018). DOI: 10.1215/20088752-2017-0019

Abstract

We propose a new iterative algorithm to compute the symmetric solution of the matrix equations AXB=E and CXD=F. The greatest advantage of this new algorithm is higher speed and lower computational cost at each step compared with existing numerical algorithms. We state the solutions of these matrix equations as the intersection point of some closed convex sets, and then we use the alternating projection method to solve them. Finally, we use some numerical examples to show that the new algorithm is feasible and effective.

Citation

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Chunmei Li. Xuefeng Duan. Juan Li. Sitting Yu. "A new algorithm for the symmetric solution of the matrix equations AXB=E and CXD=F." Ann. Funct. Anal. 9 (1) 8 - 16, February 2018. https://doi.org/10.1215/20088752-2017-0019

Information

Received: 3 December 2016; Accepted: 11 January 2017; Published: February 2018
First available in Project Euclid: 12 July 2017

zbMATH: 1383.65038
MathSciNet: MR3758739
Digital Object Identifier: 10.1215/20088752-2017-0019

Subjects:
Primary: 39B82
Secondary: 44B20‎ , 46C05

Keywords: alternating projection method , Matrix equation , new algorithm , symmetric solution

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 1 • February 2018
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