GMRESR: a family of nested GMRES methods 论文

1994Numerical Linear Algebra with Applications引用 286
Matrix Theory and AlgorithmsAdvanced Numerical Methods in Computational MathematicsNumerical methods for differential equations

摘要

Abstract Recently Eirola and Nevanlinna have proposed an iterative solution method for unsymmetric linear systems, in which the preconditioner is updated from step to step. Following their ideas we suggest variants of GMRES, in which a preconditioner is constructed per iteration step by a suitable approximation process, e.g., by GMRES itself. Our numerical experiments indicate that this may lead to considerable savings in CPU‐time and memory requirements in typical CFD applications.