Inequalities with Determinants of Perturbed Positive Matrices
Rings and Algebras
2014-02-17 v1
Abstract
We prove two inequalities regarding the ratio of the determinant of a positive-definite matrix and the determinant of its perturbation . 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
Cite
@article{arxiv.1402.3548,
title = {Inequalities with Determinants of Perturbed Positive Matrices},
author = {Ivan Matic},
journal= {arXiv preprint arXiv:1402.3548},
year = {2014}
}