| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599682 | Linear Algebra and its Applications | 2014 | 9 Pages |
Abstract
We prove two inequalities regarding the ratio det(A+D)/detA of the determinant of a positive-definite matrix A and the determinant of its perturbation A+D. In the first problem, we study the perturbations that happen when positive matrices are added to diagonal blocks of the original matrix. In the second problem, the perturbations are added to the inverses of the matrices.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ivan Matic,