Rounding errors in solving block Hessenberg systems
| Title | Rounding errors in solving block Hessenberg systems |
| Publication Type | Journal Articles |
| Year of Publication | 1996 |
| Authors | Von Matt U, Stewart G.W |
| Journal | Mathematics of Computation |
| Volume | 65 |
| Issue | 213 |
| Pagination | 115 - 135 |
| Date Published | 1996/01// |
| ISBN Number | 0025-5718 |
| Keywords | block diagonally dominant matrices, block Hessenberg matrices, Linear systems, M-matrices, rounding error analysis |
| Abstract | A rounding error analysis is presented for a divide-and-conquer algorithm to solve linear systems with block Hessenberg matrices. Conditions are derived under which the algorithm computes a stable solution. The algorithm is shown to be stable for block diagonally dominant matrices and for M-matrices. |
| URL | http://dx.doi.org/10.1090/S0025-5718-96-00667-9 |
| DOI | 10.1090/S0025-5718-96-00667-9 |