On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations | Zendy

MinLi Zeng | Zendy; Guofeng Zhang | Zendy

Open Access

On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations

Author(s) -

MinLi Zeng,

Guofeng Zhang

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1510-93

Subject(s) - krylov subspace , mathematics , hermitian matrix , rank (graph theory) , sylvester matrix , generalized minimal residual method , sylvester equation , convergence (economics) , mathematical analysis , matrix (chemical analysis) , linear system , eigenvalues and eigenvectors , pure mathematics , combinatorics , physics , matrix polynomial , polynomial matrix , quantum mechanics , polynomial , economics , economic growth , materials science , composite material

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 timeperiodic 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.

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