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Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences >
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http://dspace.vgtu.lt/handle/1/397
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| Title: | Parallel variational iterative linear solvers |
| Authors: | Čiegis, Raimondas
Čiegis, Remigijus
Jakušev, Aleksandr
Šaltenienė, Gailė Kamilė |
| Keywords: | Variational iterative methods
Parallel algorithms
Linear algebra problems, software tools
Software tools |
| Issue Date: | 2007 |
| Publisher: | Vilniaus Gedimino technikos universitetas |
| Citation: | Čiegis, R.; Čiegis, R.; Jakušev, A.; Šaltenienė, G. K. 2007. Parallel variational iterative linear solvers, Mathematical modelling and anglysis 12(1): 1-16. |
| Abstract: | In this work we consider parallel variational algorithms for solution of linear systems. Theoretical analysis explains the superlinear convergence rate for two step gradient descent method. A new modification of the algorithm is proposed. Results of computational experiments are given for a linear system of equations ap- proximating 3D elliptic boundary value problem. All algorithms are implemented using parallel array object tool ParSol, then a parallel algorithm follows semi- automatically from the serial one. Results of the scalability analysis are presented and the efficiency of the presented parallel algorithm is investigated experimentally. |
| URI: | http://dspace1.vgtu.lt/handle/1/397 |
| ISSN: | 1392-6292 |
| Appears in Collections: | Moksliniai straipsniai / Research articles
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