Stability and Sensitivity of Tridiagonal LU Factorization without Pivoting
✍ Scribed by M. Isabel Bueno; Froilán M. Dopico
- Book ID
- 106372889
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 667 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0006-3835
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📜 SIMILAR VOLUMES
This paper concerns the LBM T factorization of unsymmetric tridiagonal matrices, where L and M are unit lower triangular matrices and B is block diagonal with 1×1 and 2×2 blocks. In some applications, it is necessary to form this factorization without row or column interchanges while the tridiagonal
Many of the currently popular 'block algorithms' are scalar algorithms in which the operations have been grouped and reordered into matrix operations. One genuine block algorithm in practical use is block LU factorization, and this has recently been shown by Demmel and Higham to be unstable in gener