Parallel implementation of multifrontal schemes
Parallel Computing
An extended set of FORTRAN basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
A set of level 3 basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
Node orderings and concurrency in structurally-symmetric sparse problems
Parallel supercomputing: methods, algorithms and applications
Row projection methods for large nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
ACM Transactions on Mathematical Software (TOMS)
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We first discuss the present status of CERFACS, a European Centre for Research and Advanced Training in Supercomputing situated in Toulouse in South West France. The Parallel Algorithm Team has been a central group in CERFACS since the Centre started in 1987, its main focus being the efficient solution of large sparse systems on vector and parallel architectures. We discuss in detail two such projects, namely the solution by direct methods using a multifrontal scheme and by iterative methods using a block projection method. In particular we stress the portability of our algorithmic paradigms over a range of architectures so that high efficiency can be obtained with a minimum and isolated degree of tuning.