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Article #226

Crashing a Basis

#226
From: Jeffrey Horn
Date: Mon, 10 Aug 1992 14:51
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Given an m x n matrix with linearly independand rows ( n > m ) is there any
good way to find m columns that form an invertible submatrix?  Does anyone
know of any code that might do this? 

Given that it can be done, can one do it in a way that makes the resulting
m x m matrix as close to triangular as possible?  as sparse as possible?

Any comments, references or code is welcome.

Regards, 

Jeffrey Horn
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From: horn@schaefer.math.wisc.edu (Jeffrey Horn)
Subject: Crashing a Basis
Message-ID: <1992Aug10.145140.12541@schaefer.math.wisc.edu>
Organization: Univ. of Wisconsin Dept. of Mathematics
Date: Mon, 10 Aug 92 14:51:40 GMT
Lines: 12