Abstract
We consider the question of how to delete m - k rows from a matrix X Rm×n so that the resulting matrix A Rk×n is as non-singular as possible. Bounds for the singular values of A are derived which decrease only algebraically with m and n. In addition a number of applications, where subset selection is necessary, are examined.
Original language | English |
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Pages (from-to) | 349-359 |
Journal | Linear Algebra and Its Applications |
Volume | 422 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 2007 |