2018•DEStech Transactions on Computer Science and EngineeringOpen access

On the Shift-HSS Splitting Method for Nonsingular Saddle Point Problem

Zhuo-Hong Huang, Su Hong, Jing Yang

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Abstract

In this paper, the shift-HSS splitting (denoted by SFHSS) iteration method is used to solve nonsingular saddle point system with nonsymmetric positive definite (1, 1)-block. Theoretical analysis illustrates that the SFHSS iteration method converges to the unique solution of the saddle point system as the parameter satisfies certain condition.

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What this paper is about

In this paper, the shift-HSS splitting (denoted by SFHSS) iteration method is used to solve nonsingular saddle point system with nonsymmetric positive definite (1, 1)-block. Theoretical analysis illustrates that the SFHSS iteration method converges to the unique solution of the saddle point system as the parameter satisfies certain condition.

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Available abstract

In this paper, the shift-HSS splitting (denoted by SFHSS) iteration method is used to solve nonsingular saddle point system with nonsymmetric positive definite (1, 1)-block. Theoretical analysis illustrates that the SFHSS iteration method converges to the unique solution of the saddle point system as the parameter satisfies certain condition.

Key concepts: Saddle point, Invertible matrix, Saddle, Mathematics, Block (permutation group theory), Point (geometry), Applied mathematics, Positive-definite matrix

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