Name
Abstract | ||
|---|---|---|
For solving a class of complex symmetric linear systems, we introduce a new single-step iteration method, which can be taken as a fixed-point iteration adding the asymptotical error (FPAE). In order to accelerate the convergence, we further develop the parameterized variant of the FPAE (PFPAE) iteration method. Each iteration of the FPAE and the PFPAE methods requires the solution of only one linear system with a real symmetric positive definite coefficient matrix. Under suitable conditions, we derive the spectral radius of the FPAE and the PFPAE iteration matrices, and discuss the quasi-optimal parameters which minimize the above spectral radius. Numerical tests support the contention that the PFPAE iteration method has comparable advantage over some other commonly used iteration methods, particularly when the experimental optimal parameters are not used. |
Year | DOI | Venue |
|---|---|---|
2018 | https://doi.org/10.1007/s11075-017-0393-y | Numerical Algorithms |
Keywords | Field | DocType |
Complex linear system,Positive definite,HSS iteration,Spectral radius,Convergence analysis,65F10,65F50 | Mathematical optimization,Coefficient matrix,Spectral radius,Modified Richardson iteration,Linear system,Preconditioner,Arnoldi iteration,Mathematical analysis,Fixed-point iteration,Mathematics,Power iteration | Journal |
Volume | Issue | ISSN |
78 | 2 | 1017-1398 |
Citations | PageRank | References |
6 | 0.42 | 22 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Y. Xiao | 1 | 699 | 76.72 |
| Xiao-Wei Wang | 2 | 596 | 59.78 |