A parallel block cyclic reduction algorithm for the fast solution of elliptic equations (Q1122958)
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scientific article; zbMATH DE number 4108087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A parallel block cyclic reduction algorithm for the fast solution of elliptic equations |
scientific article; zbMATH DE number 4108087 |
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A parallel block cyclic reduction algorithm for the fast solution of elliptic equations (English)
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1989
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It is known that the block cyclic reduction method needs to solve linear systems with a matrix which is a product of tridiagonal matrices. The authors approximate the rational function corresponding to the inverse of this product as a sum of elementary fractions. This leads to parallel solutions of tridiagonal systems. Numerical experiments for Poisson's equation were performed on the CSRD Alliant FX/8 system and are considered in details.
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multi-vector processor
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block cyclic reduction method
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parallel solutions
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tridiagonal systems
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Numerical experiments
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Poisson's equation
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