高等学校计算数学学报：英文版 · 1993 · 25 citations · 0 references
ComputingComputer ScienceComputational MechanicsParallel AlgorithmsParallel ComputingConvergence AnalysisMatrix ComputationNumerical AlgorithmsNumerical Linear AlgebraParallel Numerical MethodsRelaxation MethodsConvergenceParallel Linear SolversParallel Linear System SolversParallel Matrix AlgorithmsParallel Matrix ComputationParallel Matrix FactorizationSparse Matrix Computation
In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix.