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Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-αA=Q

Published:2007-03 Issue:2 Volume:200 Page:520-527
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Peng Zhen-yun,El-Sayed Salah M.,Zhang Xiang-lin

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference23 articles.

1. Positive solutions to X=A-BX-1B*;Anderson;Linear Algebra Appl.,1990

2. Matrix analysis, Graduate Texts in Mathematics;Bhatia,1997

3. S.M. El-Sayed, Investigation of the special matrices and numerical methods for the special matrix equation, Ph.D. Thesis, Sofia, 1996 (in Bulgarian).

4. Two sided iteration methods for computing positive definite solutions of a nonlinear matrix equation;El-Sayed;J. Austral. Math, Soc. Ser. B.,2003

5. On positive definite solutions of nonlinear matrix equation;El-Sayed;Appl. Math. Comput.,2004

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