Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603502 | Linear Algebra and its Applications | 2007 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory