A note on preconditioned GMRES for solving singular linear systems |
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Authors: | Naimin Zhang |
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Affiliation: | 1.School of Mathematics and Information Science,Wenzhou University,Wenzhou,China |
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Abstract: | For solving a singular linear system Ax=b by GMRES, it is shown in the literature that if A is range-symmetric, then GMRES converges safely to a solution. In this paper we consider preconditioned GMRES for solving a singular linear system, we construct preconditioners by so-called proper splittings, which can ensure that the coefficient matrix of the preconditioned system is range-symmetric. |
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