Reliable parallel solution of bidiagonal systems (Q1348918)
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scientific article; zbMATH DE number 1742782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reliable parallel solution of bidiagonal systems |
scientific article; zbMATH DE number 1742782 |
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Reliable parallel solution of bidiagonal systems (English)
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21 May 2002
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Presentation of a parallel algorithm for the solution of bidiagonal linear systems as they occur for forward elimination and backward substitution of factored tridiagonal systems. The algorithm uses a divide and conquer approach, a combination of partition method and cyclic reduction. A detailed analysis of forward and backward stability is presented. Some numerical examples illustrate the application to Cholesky-factored matrices.
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bidiagonal systems
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partition method
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parallel computation
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Cholesky factorization
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algorithm
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divide and conquer approach
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cyclic reduction
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stability
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numerical examples
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