Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599891 | Linear Algebra and its Applications | 2013 | 5 Pages |
Abstract
We generalize the nullity theorem of Gustafson (1984) [8] from matrix inversion to principal pivot transform. Several special cases of the obtained result are known in the literature, such as a result concerning local complementation on graphs. As an application, we show that a particular matrix polynomial, the so-called nullity polynomial, is invariant under principal pivot transform.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Robert Brijder,