A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
SIAM Journal on Scientific Computing
Parallel programming with MPI
Parallel Preconditioning with Sparse Approximate Inverses
SIAM Journal on Scientific Computing
Parallel computation: models and methods
Parallel computation: models and methods
Iterative solution of linear systems in the 20th century
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
The impact of high-performance computing in the solution of linear systems: trends and problems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
A Normalized Explicit Preconditioned Conjugate Gradient Method for Solving Sparse Non-linear Systems
PDPTA '02 Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications - Volume 1
Parallel Programming in C with MPI and OpenMP
Parallel Programming in C with MPI and OpenMP
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A new class of normalized explicit approximate inverse matrix techniques, based on normalized approximate factorization procedures, for solving sparse linear systems resulting from the finite difference discretization of partial differential equations in three space variables are introduced. A new parallel normalized explicit preconditioned conjugate gradient square method in conjunction with normalized approximate inverse matrix techniques for solving efficiently sparse linear systems on distributed memory systems, using Message Passing Interface (MPI) communication library, is also presented along with theoretical estimates on speedups and efficiency. The implementation and performance on a distributed memory MIMD machine, using Message Passing Interface (MPI) is also investigated. Applications on characteristic initial/boundary value problems in three dimensions are discussed and numerical results are given.