- Turkish Journal of Mathematics
- Vol: 40 Issue: 6
- On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-period...
On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations
Authors : Min-li Zeng, Guo-feng Zhang
Pages : 1325-1339
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Sylvester equation, Krylov-plus-inverted-Krylov subspace method, time-periodic fractional diffusion equation, NPHSS method, low-rank