ON THE NUMERICAL SOLUTION OF GENERALIZED SYLVESTER MATRIX EQUATIONS

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KAABI AMER

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2014 | Volume:40 | Issue:1 Page(s): 101-113

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Title

ON THE NUMERICAL SOLUTION OF GENERALIZED SYLVESTER MATRIX EQUATIONS

Author(s)

KAABI AMER | Issue Writer Certificate

Keywords

GENERALIZED SYLVESTER MATRIX EQUATIONS

MATRIX KRYLOV SUBSPACE

GLOBAL GMRES ALGORITHM

Abstract

The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CG-type algorithms for solving GENERALIZED SYLVESTER MATRIX EQUATIONS. The proposed methods are iterative projection methods onto MATRIX KRYLOV SUBSPACEs. Numerical examples are presented.

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APA: Copy

KAABI, AMER. (2014). ON THE NUMERICAL SOLUTION OF GENERALIZED SYLVESTER MATRIX EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(1), 101-113. SID. https://sid.ir/paper/617797/en

Vancouver: Copy

KAABI AMER. ON THE NUMERICAL SOLUTION OF GENERALIZED SYLVESTER MATRIX EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(1):101-113. Available from: https://sid.ir/paper/617797/en

IEEE: Copy

AMER KAABI, “ON THE NUMERICAL SOLUTION OF GENERALIZED SYLVESTER MATRIX EQUATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 1, pp. 101–113, 2014, [Online]. Available: https://sid.ir/paper/617797/en

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