S. Zarate

collaborators

3 papers

math.FA2020

Absolute variation of Ritz values, principal angles and spectral spread

Pedro Massey, Demetrio Stojanoff, Sebastian Zarate

Let $A$ be a $d \times d$ complex self-adjoint matrix, $X, Y \subset C^{d}$ be $k$ -dimensional subspaces and let $X$ be a $d \times k$ complex matrix whose c…

math.FA2020

The spectral spread of Hermitian matrices

Pedro Massey, Demetrio Stojanoff, Sebastian Zarate

Let $A$ be a $n \times n$ complex Hermitian matrix and let $λ (A) = (λ_{1}, \dots, λ_{n}) \in R^{n}$ denote the eigenvalues of $A$ , counting multiplicities and arranged in non-increas…

math.FA2019

Majorization bounds for Ritz values of self-adjoint matrices

Pedro Massey, Demetrio Stojanoff, Sebastian Zarate

A priori, a posteriori, and mixed type upper bounds for the absolute change in Ritz values of self-adjoint matrices in terms of submajorization relations are obtained. Some of our…