2016/05/19 by Davod Khojasteh Salkuyeh, Salkuyeh, Davod Khojasteh, Maryam Rahimian +1
Computer Science · Engineering · Physics and Astronomy · #65F08 #65F10 #65F50 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1605.05818
openalex publication_date 2016/05/19 · openalex created_date 2022/08/13 · openalex updated_date 2026/07/28
A modification of the generalized shift-splitting (GSS) method is presented\nfor solving singular saddle point problems. In this kind of modification, the\ndiagonal shift matrix is replaced by a block diagonal matrix which is symmetric\npositive definite. Semi-convergence of the proposed method is investigated. The\ninduced preconditioner is applied to the saddle point problem and the\npreconditioned system is solved by the restarted generalized minimal residual\nmethod. Eigenvalue distribution of the preconditioned matrix is also discussed.\nFinally some numerical experiments are given to show the effectiveness and\nrobustness of the new preconditioner. Numerical results show that the modified\nGSS method is superior to the classical GSS method.\n