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

Li-Ying Hu, Gong-De Guo and Chang-Feng Ma

Applied Mathematics and Computation, 2015, vol. 259, issue C, 212-219

Abstract: 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.

Keywords: Sylvester equation; Modified conjugate iterative method; Anti-bisymmetric matrix; Least squares solution; Optimal approximation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:212-219

DOI: 10.1016/j.amc.2015.02.056

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