Perturbation and error analyses of partitioned LU factorization for block tridiagonal linear systems
The perturbation and backward error analyses of the partitioned LU factorization for block tridiagonal matrices are presented. Moreover, we consider the perturbation bounds for the partitioned LU factorization for block tridiagonal linear systems. Finally, numerical examples are given to verify our...
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| Date: | 2016 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1953 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | The perturbation and backward error analyses of the partitioned LU factorization for block tridiagonal matrices are
presented. Moreover, we consider the perturbation bounds for the partitioned LU factorization for block tridiagonal linear
systems. Finally, numerical examples are given to verify our results. |
|---|