On a two-term recurrence for the determinant of a general matrix
In: Applied Mathematics & Computation, Jg. 187 (2007-04-15), Heft 2, S. 785-788
academicJournal
Zugriff:
Abstract: Recently, a two-term recurrence for computing the determinant of a tridiagonal matrix has been found by El-Mikkawy [M. El-Mikkawy, A note on a three-term recurrence for a tridiagonal matrix, Appl. Math. Comput. 139 (2003) 503–511]. Then, the result has been extended to a block-tridiagonal matrix by Salkuyeh [D.K. Salkuyeh, Comments on “A note on a three-term recurrence for a tridiagonal matrix”, Appl. Math. Comput. 176 (2006) 442–444]. In this note, we show that the relation can be obtained for a general matrix and that as a by-product we obtain a generalization of the DETGTRI algorithm [M. El-Mikkawy, A fast algorithm for evaluating nth order tri-diagonal determinants, J. Comput. Appl. Math. 166 (2004) 581–584]. [Copyright &y& Elsevier]
Titel: |
On a two-term recurrence for the determinant of a general matrix
|
---|---|
Autor/in / Beteiligte Person: | Sogabe, Tomohiro |
Zeitschrift: | Applied Mathematics & Computation, Jg. 187 (2007-04-15), Heft 2, S. 785-788 |
Veröffentlichung: | 2007 |
Medientyp: | academicJournal |
ISSN: | 0096-3003 (print) |
DOI: | 10.1016/j.amc.2006.08.156 |
Schlagwort: |
|
Sonstiges: |
|