Least-squares symmetric solution to the matrix equation AXB = C with the norm inequality constraint. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Xie, Dongxiu; Xu, An-Bao; Peng, Zhenyun
• Is Part Of: International journal of computer mathematics. Volume 93:Issue 9(2016)
• Page Start: 1564
• Page End: 1578
• Publication Date: 2016-09-01
• Subjects: matrix equation -- iterative method -- norm-constrained problem -- symmetric least-squares problem; 65F10 -- 68U10; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2015.1067310
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, an iterative method to compute symmetric least-squares solution of the matrix equation AXB = C with the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterate steps. Numerical experiments are performed to illustrate the efficiency and application of the algorithm.