A note on preconditioned GMRES for solving singular linear systems

作者：Zhang Naimin^*

来源：BIT Numerical Mathematics, 2010, 50(1): 207-220.

DOI：10.1007/s10543-009-0247-7

• Singular linear systems
• Range-symmetric
• Proper splitting
• Singular perconditioner

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.

• 出版日期2010-3
• 单位温州大学