Row ordering for frontal solvers in chemical process engineering
نویسندگان
چکیده
منابع مشابه
Row Ordering for Frontal Solvers in Chemical Process Engineering
The solution of chemical process engineering problems often requires the repeated solution of large sparse linear systems of equations that have a highly asymmetric structure. The frontal method can be very e cient for solving such systems on modern computer architectures because, in the innermost loop of the computation, the method exploits dense linear algebra kernels, which are straightforwa...
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The solution of chemical process simulation and optimization problems on today's high performance supercomputers requires algorithms that can take advantage of vector and parallel processing when solving the large, sparse matrices that arise. The frontal method can be highly e cient in this context due to its ability to make use of vectorizable dense matrix kernels on a relatively small frontal...
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A new row ordering strategy for frontal solvers. Abstract The frontal method is a variant of Gaussian elimination that has been widely used since the mid 1970s. In the innermost loop of the computation the method exploits dense linear algebra kernels, which are straightforward to vectorize and parallelize. This makes the method attractive for modern computer architectures. However, unless the m...
متن کاملTwo-stage ordering for unsymmetric parallel row-by-row frontal solvers
The row-by-row frontal method may be used to solve general large sparse linear systems of equations. By partitioning the matrix into (nearly) independent blocks and applying the frontal method to each block, a coarse-grained parallel frontal algorithm is obtained. The success of this approach depends on preordering the matrix. This can be done in two stages, (1) order the matrix to bordered blo...
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We report on the design and development of a parallel frontal code HSL–MP43 for the numerical solution of the large sparse highly unsymmetric linear systems of equations that arise in industrial-scale chemical process engineering. HSL–MP43 has been developed for the mathematical software library HSL 2000 (http://www.cse.clrc.ac.uk/Activity/HSL). The main design goals for HSL–MP43 were: probabil...
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ژورنال
عنوان ژورنال: Computers & Chemical Engineering
سال: 2000
ISSN: 0098-1354
DOI: 10.1016/s0098-1354(00)00565-2