Applied numerical linear algebra
Applied numerical linear algebra
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
Parallel Computing - Parallel matrix algorithms and applications
The design of sparse direct solvers using object-oriented techniques
The design of sparse direct solvers using object-oriented techniques
Anatomy of high-performance matrix multiplication
ACM Transactions on Mathematical Software (TOMS)
Advances in Engineering Software
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The method suggested here is intended for solving sets of linear algebraic equations with symmetric sparse matrices. It is oriented at the usage in finite element analysis software operated on multi-core desktop computers. Algorithms of parallelization have been implemented which speed up the method intensively as more processors are added, both in the core memory mode and when using the hard disk storage. PARFES features a higher performance and speedup ability than the multi-frontal method do, because it requires a minimum amount of data transfers - actions that speed up poorly by parallelization available on multi-core desktop computers.