MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides

Xin Li, Hao Liu and Jingfu Zhu

Mathematical Problems in Engineering, 2014, vol. 2014, 1-6

Abstract:

We consider the MINRES seed projection method for solving multiple right-hand side linear systems , where is a nonsingular symmetric matrix, . In general, GMRES seed projection method is one of the effective methods for solving multiple right-hand side linear systems. However, when the coefficient matrix is symmetric, the efficiency of this method would be weak. MINRES seed projection method for solving symmetric systems with multiple right-hand sides is proposed in this paper, and the residual estimation is analyzed. The numerical examples show the efficiency of this method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:357874

DOI: 10.1155/2014/357874

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