manipulating block diagonal matrices
- To: mathgroup at smc.vnet.net
- Subject: [mg37587] manipulating block diagonal matrices
- From: "David E. Burmaster" <deb at alceon.com>
- Date: Tue, 5 Nov 2002 05:05:15 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear MathGroup, Can anyone suggest efficient algorithms for calculating either or both of these? (i) the inverse and (ii) the determinant of a block diagonal matrix? Let blocki for i = 1, 2,..., n denote each of the square matrices along the diagonal of a large block diagonal matrix. In my situation, the blocki matrices do not have a common size; a typical blocki has dimensions in the range 6x6 to 20x20. In my situation, n is approx 1,000. In other words, the full block diagonal matrix has large dimensions -- but it is sparse in a highly structured way. many thanks for your help dave +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ David E. Burmaster, Ph.D. Alceon Corporation POBox 382069 (new Box number effective 1 Sep 2001) Harvard Square Station Cambridge, MA 02238-2069 (new ZIP code effective 1 Sep 2001) Voice 617-864-4300 Web http://www.Alceon.com Email deb at Alceon.com +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++