A note on subset selection for matrices |
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Authors: | FR de Hoog |
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Institution: | a CSIRO Mathematics, Informatics and Statistics, G.P.O. Box 664, Canberra, ACT 2601, Australia b Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
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Abstract: | In an earlier paper the authors examined the problem of selecting rows of a matrix so that the resulting matrix is as “non-singular” as possible. However, the proof of the key result in that paper is not constructive. In this note we give a constructive proof for that result. In addition, we examine a case where as non-singular as possible means maximizing a determinant and provide a new bound and a constructive proof for this case also. |
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Keywords: | 15Z 65F |
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