Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations (Q1179243)
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scientific article; zbMATH DE number 24145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations |
scientific article; zbMATH DE number 24145 |
Statements
Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations (English)
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26 June 1992
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A divide and conquer algorithm for solving general linear tridiagonal systems of equations with one right-hand side is described. The algorithm is suited for parallel computers (MIMD-systems), and permits multiprocessing or a combination of vector and multiprocessor implementations. CPU-time measurements on a CRAY X-MP/28, on an Alliant FX/8, and on a Sequent Symmetry S81b are presented and discussed. Furthermore, the CPU- times of the proposed algorithm is compared with those of the cyclic reduction and Gaussian elimination.
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parallel algorithms
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comparison of methods
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timing results
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divide and conquer algorithm
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linear tridiagonal systems
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CRAY X-MP/28
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Alliant FX/8
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Sequent Symmetry S81b
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CPU-times
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cyclic reduction
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Gaussian elimination
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0.9321472
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0.92943496
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0.9290657
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