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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Communicated by Axel Ruhe.
This work is supported by Zhejiang Provincial Natural Science Foundation of China under Grant No. Y606009.
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Zhang, N. A note on preconditioned GMRES for solving singular linear systems. Bit Numer Math 50, 207–220 (2010). https://doi.org/10.1007/s10543-009-0247-7
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DOI: https://doi.org/10.1007/s10543-009-0247-7