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Experiments with Krylov subspace methods on a massively parallel computer

Martin HankeMarlis HochbruckWilhelm Niethammer — 1993

Applications of Mathematics

In this note, we compare some Krylov subspace iterative methods on the MASPAR, a massively parallel computer with 16K processors. In particular, we apply these methods to solve large sparse nonsymmetric linear systems arising from elliptic partial differential equations. The methods under consideration include conjugate gradient type methods, semiiterative methods, and a hybrid variant. Our numerical results show that, on the MASPAR, one should compare iterative methods rather on the basis of total...

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