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

Authors

  • Alireza Ataei Mathematics Department, Faculty of Science, Persian Gulf University, Iran
Abstract:

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.

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Journal title

volume 5  issue 1

pages  1- 14

publication date 2017-06-01

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