2010•Journal of Huaihua UniversityRequires access

A Class of IDP-SOR Method of Saddle Point Problem

Zhang Li-jun

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Abstract

A new iterative solution is proposed to solve the problem of large-scale saddle point problem.Based on a splitting for the matrix of coefficients which A∈Rn×n is symmetric positive definite in coefficient matrix,using the incomplete decomposition method which split A to LLT+R,after choosing a pretreated matrix and undermined parameters,the converence of the iteration is proved and sufficient and necessary conditions of the new iteration method proposed becomes convergent in form of theorem.

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What this paper is about

A new iterative solution is proposed to solve the problem of large-scale saddle point problem.Based on a splitting for the matrix of coefficients which A∈Rn×n is symmetric positive definite in coefficient matrix,using the incomplete decomposition method which split A to LLT+R,after choosing a pretreated matrix and undermined parameters,the converence of the iteration is proved and sufficient and necessary conditions of the new iteration method proposed becomes convergent in form of theorem.

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Available abstract

A new iterative solution is proposed to solve the problem of large-scale saddle point problem.Based on a splitting for the matrix of coefficients which A∈Rn×n is symmetric positive definite in coefficient matrix,using the incomplete decomposition method which split A to LLT+R,after choosing a pretreated matrix and undermined parameters,the converence of the iteration is proved and sufficient and necessary conditions of the new iteration method proposed becomes convergent in form of theorem.

Key concepts: Saddle point, Mathematics, Positive-definite matrix, Matrix (chemical analysis), Coefficient matrix, Class (philosophy), Applied mathematics, Iterative method

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