On the stability of the cyclic reduction without back substitution for tridiagonal systems (Q1904281)
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scientific article; zbMATH DE number 827437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of the cyclic reduction without back substitution for tridiagonal systems |
scientific article; zbMATH DE number 827437 |
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On the stability of the cyclic reduction without back substitution for tridiagonal systems (English)
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21 May 1996
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For a tridiagonal system a componentwise error analysis is given via the cyclic reduction algorithm without back substitution. Error bounds are obtained depending on two constants; constants are defined for some special classes of matrices (diagonally dominant, M-matrices, positive definite matrices). It is shown that the bounds are small.
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error bounds
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diagonally dominant
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tridiagonal system
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cyclic reduction algorithm without back substitution
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M-matrices
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positive definite matrices
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