GSTS-Uzawa method for a class of complex singular saddle point problems

作者：Xiong, Jin-Song^*; Gao, Xing-Bao

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37(3): 3580-3592.

DOI：10.1007/s40314-017-0535-9

• Complex singular saddle point problems
• GSTS-Uzawa method
• Iterative method
• Semi-convergence

In this paper, we propose GSTS-Uzawa method for solving a class of complex singular saddle point problems based on generalized skew-Hermitian triangular splitting (GSTS) iteration method and classical Uzawa method. We research on its semi-convergence properties and the eigenvalues distributions of its preconditioned matrix. The resulting GSTS-Uzawa preconditioner is used to precondition Krylov subspace methods such as the restarted generalized minimal residual (GMRES) method for solving the equivalent formulation of the complex singular saddle point problems. The theoretical results and effectiveness of the GSTS-Uzawa method are supported by a numerical example.

• 出版日期2018-7
• 单位陕西师范大学