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

Document Type : Research Article


1 Mathematics Department, Faculty of Science, Persian Gulf University, Iran

2 Department of Applied Mathematics, School of Mathematical Sciences


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.