MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides
We consider the MINRES seed projection method for solving multiple right-hand side linear systems AX=B, where A∈Rn×n is a nonsingular symmetric matrix, B∈Rn×p. In general, GMRES seed projection method is one of the effective methods for solving multiple right-hand side linear systems. However, when...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/357874 |
| Summary: | We consider the MINRES seed projection method for solving multiple right-hand side linear systems AX=B, where A∈Rn×n is a nonsingular symmetric matrix, B∈Rn×p. 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. |
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| ISSN: | 1024-123X 1563-5147 |