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Groups > comp.soft-sys.math.mathematica > #2466

Re: finding base change matrix

From Ray Koopman <koopman@sfu.ca>
Newsgroups comp.soft-sys.math.mathematica
Subject Re: finding base change matrix
Date 2011-05-18 11:15 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <ir09o3$1vt$1@smc.vnet.net> (permalink)
References iqtn5b$iia$1@smc.vnet.net

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On May 17, 4:45 am, Antonio Mezzacapo <ant.mezzac...@gmail.com> wrote:
> Hi everyone,
> I was wondering if I have two matrix A and B, how can
> i find the matrix W such that Transpose(W) A W = B?
>
> Is there a simple command for that, or I have to
> solve a system in the W elements as variables?
>
> Thank you
> Antonio

If A and B are the same size, symmetric, and positive definite
then  W = LinearSolve @@ CholeskyDecomposition /@ {A, B}.

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Re: finding base change matrix Ray Koopman <koopman@sfu.ca> - 2011-05-18 11:15 +0000
  Re: finding base change matrix Ray Koopman <koopman@sfu.ca> - 2011-05-19 11:41 +0000

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