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- Title
A generalized variant of modified relaxed positive-semidefinite and skew-Hermitian splitting preconditioner for generalized saddle point problems.
- Authors
Shao, Xin-Hui; Meng, Hui-Nan
- Abstract
To improve the MRPSS preconditioner developed by Cao et al. (BIT Numer Math 56:423–439, 2016), a generalized variant of the MRPSS (GMRPSS) preconditioner is proposed. The invertibility of the GMRPSS preconditioner, the convergence of the GMRPSS iteration method and some properties of the corresponding preconditioned matrix are presented. The degree of minimal polynomials of the preconditioned matrix is obtained. Simultaneously, the algorithm implementation and the selection of the parameter of the GMRPSS preconditioner are discussed. Numerical experiments are performed to illustrate the feasibility of the new preconditioner.
- Subjects
SADDLERY; POLYNOMIALS; MATHEMATICS; ALGORITHMS; HAIR conditioners
- Publication
Computational & Applied Mathematics, 2022, Vol 41, Issue 8, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-022-02067-y