| Implicitly restarted global GMRES for solving AXB=C |
| کد مقاله : 1019-SLAA10 |
| نویسندگان |
|
نجمه عزیزی زاده *1، آزیتا تاج الدینی2، امین رفیعی3 1دانشگاه شهید باهنر کرمان 2Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran 3Department of Applied Mathematics, Hakim Sabzevari University, Sabzevar, Iran |
| چکیده مقاله |
| Global Krylov subspace methods are generally used with restarting to reduce storage costs. At the time of restart, some information is lost and this slows down the convergence. Here, an implicitly restarted global GMRES method is proposed that uses the implicitly generalized global Arnoldi algorithm to retain this information.This method deflate the smallest eigenvalues and augment the approximate block harmonic Ritz vectors to the generalized Krylov subspace but not with the usual starting block vector. Ultimately, the efficiency of this method is evaluated by virtue of an example. |
| کلیدواژه ها |
| Harmonic Ritz value, Deflation, GLGMRES-IR |
| وضعیت: پذیرفته شده مشروط برای ارائه شفاهی |