Generalized Iterative Methods for Solving Double Saddle Point Problem

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Benzi Michele; PANJEH ALI BEIK FATEMEH; Azizi Chaparpordi Seyyed Hassan; Roygar Zohreh

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Journal: MATHEMATICAL RESEARCHES Year:2020 | Volume:5 | Issue:2 Page(s): 137-150

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Information Journal Paper

Title

Generalized Iterative Methods for Solving Double Saddle Point Problem

Author(s)

Benzi Michele | PANJEH ALI BEIK FATEMEH | Azizi Chaparpordi Seyyed Hassan | Roygar Zohreh | Issue Writer Certificate

Keywords

Double saddle point problemQ1

Block Gauss-Seidel methodQ1

Block SOR methodQ1

ConvergenceQ3

Liquid crystalQ1

Abstract

In this paper, we develop some stationary iterative schemes in block forms for solving Double saddle point problem. To this end, we first generalize the Jacobi iterative method and study its Convergence under certain condition. Moreover, using a relaxation parameter, the weighted version of the Jacobi method together with its Convergence analysis are considered. Furthermore, we extend a method from the class of Gauss-Seidel iterative method and establish its Convergence properties under a certain condition. In addition, the block successive overrelaxation (SOR) method is used to construct an iterative scheme to solve the mentioned Double saddle point problem and its Convergence properties are analyzed. In order to illustrate the efficiency of the proposed methods, we report some numerical experiments for a class of saddle point problems arising from the modeling of Liquid crystal directors using finite elements...

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APA: Copy

Benzi, Michele, PANJEH ALI BEIK, FATEMEH, Azizi Chaparpordi, Seyyed Hassan, & Roygar, Zohreh. (2020). Generalized Iterative Methods for Solving Double Saddle Point Problem. MATHEMATICAL RESEARCHES, 5(2 ), 137-150. SID. https://sid.ir/paper/377459/en

Vancouver: Copy

Benzi Michele, PANJEH ALI BEIK FATEMEH, Azizi Chaparpordi Seyyed Hassan, Roygar Zohreh. Generalized Iterative Methods for Solving Double Saddle Point Problem. MATHEMATICAL RESEARCHES[Internet]. 2020;5(2 ):137-150. Available from: https://sid.ir/paper/377459/en

IEEE: Copy

Michele Benzi, FATEMEH PANJEH ALI BEIK, Seyyed Hassan Azizi Chaparpordi, and Zohreh Roygar, “Generalized Iterative Methods for Solving Double Saddle Point Problem,” MATHEMATICAL RESEARCHES, vol. 5, no. 2 , pp. 137–150, 2020, [Online]. Available: https://sid.ir/paper/377459/en

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