A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation

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SHEYBANI M.; Tajaddini a.; YAGHOOBI M.A.

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Journal: WAVELET AND LINEAR ALGEBRA Year:2018 | Volume:5 | Issue:2 Page(s): 29-45

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Title

A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation

Author(s)

SHEYBANI M. | Tajaddini a. | YAGHOOBI M.A. | Issue Writer Certificate

Keywords

Generalized coupled Sylvester equation

NSCG method

inner and outer iteration

Abstract

Global Krylov subspace methods are the most e cient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as inner iteration to approximate each outer iterate, while each outer iteration is induced by a convergence and symmetric positive deﬁ nite splitting of the coe cient matrices. Convergence properties of this method are investigated. Finally, the e ectiveness of the nested splitting conjugate gradient method is explained by some numerical examples.

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APA: Copy

SHEYBANI, M., Tajaddini, a., & YAGHOOBI, M.A.. (2018). A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation. WAVELET AND LINEAR ALGEBRA, 5(2), 29-45. SID. https://sid.ir/paper/750463/en

Vancouver: Copy

SHEYBANI M., Tajaddini a., YAGHOOBI M.A.. A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation. WAVELET AND LINEAR ALGEBRA[Internet]. 2018;5(2):29-45. Available from: https://sid.ir/paper/750463/en

IEEE: Copy

M. SHEYBANI, a. Tajaddini, and M.A. YAGHOOBI, “A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation,” WAVELET AND LINEAR ALGEBRA, vol. 5, no. 2, pp. 29–45, 2018, [Online]. Available: https://sid.ir/paper/750463/en

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