•  
  •  
 

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

Plum Print visual indicator of research metrics
PlumX Metrics
  • Usage
    • Downloads: 48
    • Abstract Views: 10
  • Captures
    • Readers: 3
see details

Included in

Mathematics Commons

Share

COinS