4.7 Article

The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 259, Issue -, Pages 212-219

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.02.056

Keywords

Sylvester equation; Modified conjugate iterative method; Anti-bisymmetric matrix; Least squares solution; Optimal approximation

Funding

  1. National Natural Science Foundation of China [61175123, 11461046, 11261012]

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In this paper, a modified conjugate gradient iterative method for solving Sylvester equation is presented. By using this iterative method, the least squares anti-bisymmetric solution and the optimal approximation solution can be obtained. Here we present the derivation and theoretical analysis of our iterative method. Numerical results illustrate the feasibility and effectiveness of the proposed iterative method. (C) 2015 Elsevier Inc. All rights reserved.

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