Article View: sci.math.num-analysis
Article #250Determinant
From: Nicolas Ratier
Date: Tue, 07 Apr 1992 15:30
Date: Tue, 07 Apr 1992 15:30
46 lines
1976 bytes
1976 bytes
I have to compute the determinant of a block pentadiagonal matrix, exactly
a matrix look like :
/ A B C \
| B A B C |
| C B A B C |
| C B A B C |
| ------------- |
| ------------- |
| C B A B C |
| C B A B |
\ C B A /
where A is a pentadiagonal matrix
B is a tridiagonal matrix
C is a diagonal matrix
and besides A, B, C are commuting pairwise (i.e. AB = BA, AC = CA, BC = CB)
In fact, it is easy to find a efficient method to compute the determinant
of the pentadiagonal matrix by Gauss elimination way. What i need is a formula
for computing the determinant of a block pentadiagonal matrix from the
determinant of each (commuting) element.
Do you have an idea how to solve this problem ?
Thank you for responding, (please email me)
Nicolas RATIER
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| L.A.A.S. (France) |
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| Nicolas RATIER |
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| email : ratier@laas.laas.fr |
| Tel : (33) 61 33 62 46 |
| Fax : (33) 61 33 62 08 |
| Telex : LAASTSE 520930F |
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!corton!laas!lio!ratier From: ratier@lio.laas.fr (Nicolas Ratier) Newsgroups: sci.math.num-analysis Subject: Determinant Message-ID: <7286@laas.laas.fr> Date: 7 Apr 92 15:30:15 GMT Sender: news@laas.fr Organization: LAAS-Centre National de la Recherche Scientifique Toulouse, France Lines: 46 Nntp-Posting-Host: lio Originator: ratier@lio