
Summary: The conjugate gradient method is an iterative technique used to solve systems of linear equations. The paper analyzes the performance of parallel preconditioned conjugate gradient (PPCG) algorithms. First, a theoretical model is proposed for the estimation of the complexity of the PPCG method and a scalability analysis is done for three different data decomposition cases. Computational experiments are done on the IBM SP4 computer and some results are presented. It is shown that theoretical predictions agree well with computational results.
Iterative numerical methods for linear systems, Complexity and performance of numerical algorithms, Parallel numerical computation, incomplete factorization, scalability analysis
Iterative numerical methods for linear systems, Complexity and performance of numerical algorithms, Parallel numerical computation, incomplete factorization, scalability analysis
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