Multifrontal parallel distributed symmetric and unsymmetric solvers
نویسندگان
چکیده
منابع مشابه
Unsymmetric-pattern Multifrontal Methods for Parallel Sparse Lu Factorization
Sparse matrix factorization algorithms are typically characterized by irregular memory access patterns that limit their performance on parallel-vector supercomputers. For symmetric problems, methods such as the multifrontal method replace irregular operations with dense matrix kernels. However, no e cient method based primarily on dense matrix kernels exists for matrices whose pattern is very u...
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The multifrontal LU method is implemented to solve drift-diffusion models with large sparse matrices arising in the simulation and optimization of semiconductor devices. The performance of this method is compared with the LU algorithm without multifrontal scheme on different computers in the case of a realistic double heterojunction transistor. Résumé On emploie un méthode LU multifrontale pour...
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Multifrontal is an efficient direct method for solving large-scale sparse and unsymmetric linear systems. The method transforms a large sparse matrix factorization process into a sequence of factorizations involving smaller dense frontal matrices. Some of these dense operations can be accelerated by using a graphic processing unit (GPU). We analyze the unsymmetricmultifrontalmethod fromboth an ...
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Sparse matrix factorization algorithms for general problems are typically characterized by irregular memory access patterns that limit their performance on parallel-vector supercomputers. For symmetric problems, methods such as the multifrontal method avoid indirect addressing in the innermost loops by using dense matrix kernels. However, no efficient LU factorization algorithm based primarily ...
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This document describes the Fortran 90 and C user interfaces to MUMPS 4.10.0 We describe in detail the data structures, parameters, calling sequences, and error diagnostics. Basic example programs using MUMPS are also provided. ∗Information on how to obtain updated copies of MUMPS can be obtained from the Web pages http://mumps.enseeiht.fr/ and http://graal.ens-lyon.fr/MUMPS/
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2000
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(99)00242-x