Re: XAY+XB+CY+D=0, HELP

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#502

From: G. W. Stewart
Date: Fri, 11 Sep 1992 11:26

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In article <1992Sep10.135654.5001@cronkite.ocis.temple.edu> neilfp@astro.ocis.temple.edu (Neil F. Palumbo) writes:
>I am trying to solve the matrix equation XAY+XB+CY+D=0 analytically for the
>unknown matrices {X,Y}. Anyone have any ideas, suggestions, comments ...?

Much depends on the dimensions of the matrices involved.  For example,
if X is a column vector and Y is a row vector, then there is no
solution unless D is of rank one.  Again, if everything is square, any
X and Y satisfying Y = -(XA + C)^{-1}(XB + D) is a solution.  I think
you may have inadvertently left out some important information about
the problem.

Pete Stewart

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Path: arc1-ca.pugleaf.net!sparky!uunet!haven.umd.edu!mimsy!stewart
From: stewart@cs.umd.edu (G. W. Stewart)
Newsgroups: sci.math.num-analysis
Subject: Re: XAY+XB+CY+D=0, HELP
Message-ID: <60248@mimsy.umd.edu>
Date: 11 Sep 92 11:26:53 GMT
References: <1992Sep10.135654.5001@cronkite.ocis.temple.edu>
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