Turkish Journal of Mathematics
Abstract
Based on the Hermitian and skew-Hermitian (HS) splitting for non-Hermitian matrices, a nonalternating preconditioned Hermitian and skew-Hermitian splitting-Krylov plus inverted Krylov subspace (NPHSS-KPIK) iteration method for solving a class of large and low-rank complex Sylvester equations arising from the two-dimensional time-periodic fractional diffusion problem is established. The local convergence condition is proposed and the optimal parameter is given. Numerical experiments are used to show the efficiency of the NPHSS-KPIK iteration method for solving the Sylvester equations arising from the time-periodic fractional diffusion equations.
DOI
10.3906/mat-1510-93
Keywords
Sylvester equation, Krylov-plus-inverted-Krylov subspace method, time-periodic fractional diffusion equation, NPHSS method, low-rank
First Page
1325
Last Page
1339
Recommended Citation
ZENG, M, & ZHANG, G (2016). On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations. Turkish Journal of Mathematics 40 (6): 1325-1339. https://doi.org/10.3906/mat-1510-93
