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.
Ataei, A., & Toutounian, F. (2017). GGMRES: A GMRES--type algorithm for solving singular linear equations with index one. Journal of Mathematical Modeling, 5(1), 1-14. doi: 10.22124/jmm.2017.1954
MLA
Alireza Ataei; Faezeh Toutounian. "GGMRES: A GMRES--type algorithm for solving singular linear equations with index one". Journal of Mathematical Modeling, 5, 1, 2017, 1-14. doi: 10.22124/jmm.2017.1954
HARVARD
Ataei, A., Toutounian, F. (2017). 'GGMRES: A GMRES--type algorithm for solving singular linear equations with index one', Journal of Mathematical Modeling, 5(1), pp. 1-14. doi: 10.22124/jmm.2017.1954
VANCOUVER
Ataei, A., Toutounian, F. GGMRES: A GMRES--type algorithm for solving singular linear equations with index one. Journal of Mathematical Modeling, 2017; 5(1): 1-14. doi: 10.22124/jmm.2017.1954