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A note on subset selection for matrices
- Source :
-
Linear Algebra & its Applications . Apr2011, Vol. 434 Issue 8, p1845-1850. 6p. - Publication Year :
- 2011
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 434
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 58101334
- Full Text :
- https://doi.org/10.1016/j.laa.2010.11.053