Re: decompose a matrix
- To: mathgroup at smc.vnet.net
- Subject: [mg59334] Re: [mg59301] decompose a matrix
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Sat, 6 Aug 2005 01:29:24 -0400 (EDT)
- References: <200508050521.BAA13430@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
On 5 Aug 2005, at 07:21, Tun Myint Aung wrote: > > Dear Mathgroup, > > I would like to decompose a matrix in to the form M == > L*D*Transpose[L] where M is the symmetric matrix, L is the lower > triangular matrix and D is the diagonal matrix. > > Best Regards, > > Tun Myint Aung > Graduate Student > National University of Singapore > E1A #02-18 > E-mail g0202015 at nus.edu.sg <mailto:g0202015 at nus.edu.sg> > > > Are you sure you have stated your problem correctly? It is easy to do so with L an orthogonal matrix. But it is impossible to do this in general (for any symmetric M) with L a lower triangular matrix. A simple example:take M={{0,1},{1,0}}. It is easy to show that M can't be decomposed in the way you (seem to) want. Perhaps I misunderstood your question? Andrzej Kozlowski
- References:
- decompose a matrix
- From: "Tun Myint Aung" <tma@nus.edu.sg>
- decompose a matrix