Name
Abstract | ||
|---|---|---|
Motivated by the celebrated extending applications of the well-established complex Biconjugate Gradient (CBiCG) method to deal with large three-dimensional electromagnetic scattering problems by Pocock and Walker [M.D. Pocock, S.P. Walker, The complex Bi-conjugate Gradient solver applied to large electromagnetic scattering problems, computational costs, and cost scalings, IEEE Trans. Antennas Propagat. 45 (1997) 140-146], three Lanczos-type variants of the recent Conjugate A-Orthogonal Conjugate Residual (COCR) method of Sogabe and Zhang [T. Sogabe, S.-L. Zhang, A COCR method for solving complex symmetric linear systems, J. Comput. Appl. Math. 199 (2007) 297-303] are explored for the solution of complex nonsymmetric linear systems. The first two can be respectively considered as mathematically equivalent but numerically improved popularizing versions of the BiCR and CRS methods for complex systems presented in Sogabe's Ph.D. Dissertation. And the last one is somewhat new and is a stabilized and more smoothly converging variant of the first two in some circumstances. The presented algorithms are with the hope of obtaining smoother and, hopefully, faster convergence behavior in comparison with the CBiCG method as well as its two corresponding variants. This motivation is demonstrated by numerical experiments performed on some selective matrices borrowed from The University of Florida Sparse Matrix Collection by Davis. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jcp.2009.05.022 | J. Comput. Physics |
Keywords | Field | DocType |
complex symmetric linear system,crs method,complex system,well-established complex biconjugate gradient,t. sogabe,complex nonsymmetric matrices,cocr method,cocr,m.d. pocock,65f10,cbicg method,lanczos-type variants,cbicg,complex bi-conjugate gradient solver,complex nonsymmetric linear system,physical problems,lanczos-type variant,three dimensional,sparse matrix,complex,conjugate gradient,matrices,linear system | Lanczos resampling,Biconjugate gradient stabilized method,Linear system,Matrix (mathematics),Mathematical analysis,Solver,Sparse matrix,Mathematics,Biconjugate gradient method | Journal |
Volume | Issue | ISSN |
228 | 17 | Journal of Computational Physics |
Citations | PageRank | References |
20 | 1.03 | 15 |
Authors | ||
9 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yan-Fei Jing | 1 | 67 | 9.48 |
| Ting-Zhu Huang | 2 | 851 | 101.81 |
| Yong Zhang | 3 | 50 | 6.17 |
| Liang Li | 4 | 20 | 1.70 |
| Guang-hui Cheng | 5 | 33 | 4.71 |
| Zhigang Ren | 6 | 238 | 19.86 |
| Yong Duan | 7 | 20 | 1.03 |
| Tomohiro Sogabe | 8 | 154 | 20.86 |
| Bruno Carpentieri | 9 | 256 | 32.41 |