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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.
ISSN: 1392-6292
Appears in Collections:Moksliniai straipsniai / Research articles

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