Change of Basis function
- To: mathgroup at smc.vnet.net
- Subject: [mg68949] Change of Basis function
- From: David Boily <dsboily at fastmail.ca>
- Date: Fri, 25 Aug 2006 05:34:59 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
I would like to know if there is a function capable of giving as output
the representation of a vector in a given basis. For example:
FunctionX[{1,2,3}, {{1,2,0},{0,1,0},{0,0,1}}]
(where the first argument is the vector and the second the basis)
would yield
{1,0,3}
and
FunctionX[f x1 - b x2 + x3 - x2, {x1,x2,x3}]
would yield
{f, -b-1, 1}
I'm more interested in the second case, obviously, because the first one
can be achieved with a simple matrix multiplication.
David Boily
Center for Intelligent Machines
Mcgill University
- Follow-Ups:
- Re: Change of Basis function
- From: Daniel Lichtblau <danl@wolfram.com>
- Re: Change of Basis function
- From: "Carl K. Woll" <carlw@wolfram.com>
- Re: Change of Basis function