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Information Journal Paper

Title

THEORETICAL RESULTS ON THE GLOBAL GMRES METHOD FOR SOLVING GENERALIZED SYLVESTER MATRIX EQUATIONS

Pages

  1097-1117

Abstract

 The global generalized minimum residual (Gl-GMRES) method is examined for solving the generalized Sylvester matrix equation Sqi=1 AiXBi=C. Some new theoretical results are elaborated for the proposed method by employing the SCHUR COMPLEMENT. These results can be exploited to establish new convergence properties of the Gl-GMRES method for solving general (coupled) LINEAR MATRIX EQUATIONs. In addition, the Gl-GMRES method for solving the generalized Sylvester-transpose matrix equation is briey studied. Finally, some numerical experiments are presented to illustrate the efficiently of the Gl-GMRES method for solving the general LINEAR MATRIX EQUATIONs.

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    APA: Copy

    PANJEH ALI BEIK, FATEMEH. (2014). THEORETICAL RESULTS ON THE GLOBAL GMRES METHOD FOR SOLVING GENERALIZED SYLVESTER MATRIX EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(5), 1097-1117. SID. https://sid.ir/paper/641610/en

    Vancouver: Copy

    PANJEH ALI BEIK FATEMEH. THEORETICAL RESULTS ON THE GLOBAL GMRES METHOD FOR SOLVING GENERALIZED SYLVESTER MATRIX EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(5):1097-1117. Available from: https://sid.ir/paper/641610/en

    IEEE: Copy

    FATEMEH PANJEH ALI BEIK, “THEORETICAL RESULTS ON THE GLOBAL GMRES METHOD FOR SOLVING GENERALIZED SYLVESTER MATRIX EQUATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 5, pp. 1097–1117, 2014, [Online]. Available: https://sid.ir/paper/641610/en

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