PARALLEL VARIATIONAL ITERATIVE LINEAR SOLVERS
Raimondas Čiegis, Remigijus Čiegis, Alexander Jakušev, Gailė Kamilė Šaltenienė · Mathematical Modelling and Analysis · 2007
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 approximating 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.