GGMRES: A GMRES--type algorithm for solving singular linear equations with index one

In this paper, an algorithm based on the Drazin generalized conjugate residual (DGMRES) algorithm is proposed for computing the group-inverse solution of singular linear equations with index one. Numerical experiments show that the resulting group-inverse solution is reasonably accurate and its computation time is significantly less than that of group-inverse solution obtained by the DGMRES algorithm.

کلیدواژه ها:

singular linear systems ، DGMRES method ، group-inverse solution ، Drazin-inverse solution ، Krylov subspace methods