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Scholars Journal of Physics, Mathematics and Statistics | Volume-10 | Issue-09
A New Type of Shifted Method for the Stein-Like Matrix Equation X+M (X) = C
Shuai Liu
Published: Nov. 8, 2023 | 227 113
DOI: 10.36347/sjpms.2023.v10i09.001
Pages: 182-191
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Abstract
In this paper, we presented the shifted global full orthogonalization method (SGl-FOM(m)) and shifted global generalized minimum residual method (SGl-GMRES(m)) to solve the Stein-like matrix equation with , or , respectively, where X is an unknown matrix to be solved. By utilizing the collinearity of the residuals of the seed system and the shifted system , the solution of the Stein-like matrix equation can be derived. Some results are also given. Numerical experiments show its efficiency.