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Least-squares symmetric solution to the matrix equation AXB = C with the norm inequality constraint
Authors:Dongxiu Xie  Zhenyun Peng
Affiliation:1. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;2. School of Science, Beijing Information Science and Technology University, Beijing 100192, China;3. School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, China
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.
Keywords:matrix equation  iterative method  norm-constrained problem  symmetric least-squares problem
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