Proper splittings and reduced solutions of matrix equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:505

Article

Laura Arias, M.^1,2  Celeste Gonzalez, M.^2,3 

[1] Univ Buenos Aires, Fac Ingn, Dept Matemat, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat, Saavedra 15,Piso 3, RA-1083 Buenos Aires, DF, Argentina

[3] Univ Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina

关键词: Iterative processes;    Proper splittings;    Matrix equations;   

DOI  :  10.1016/j.jmaa.2021.125588

来源: Elsevier

【 摘 要 】

In this article we apply proper splittings of matrices to develop an iterative process to approximate solutions of matrix equations of the form TX = W. Moreover, by using the partial order induced by positive semidefinite matrices, we obtain equivalent conditions to the convergence of this process. We also include some speed comparison results of the convergence of this method. In addition, for all matrix T we propose a proper splitting based on the polar decomposition of T. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free