Noelia B. Rios

collaborators

3 papers

math.FA2020

Local extrema for Procustes problems in the set of positive definite matrices

Pablo Calderón, Noelia B. Rios, Mariano A. Ruiz

Given two positive definite matrices $A$ and $B$ , a well known result by Gelfand, Naimark and Lidskii establishes a relationship between the eigenvalues of $A$ and $B$ and those of…

math.FA2018

Generalized frame operator distance problems

Pedro Massey, Noelia Rios, Demetrio Stojanoff

Let $S \in M_{d} (C)^{+}$ be a positive semidefinite $d \times d$ complex matrix and let $a = (a_{i})_{i \in I_{k}} \in R_{> 0}^{k}$ , indexed by $\mathbb{I…

math.FA2018

Local Lidskii's theorems for unitarily invariant norms

Pedro Massey, Noelia B. Rios, Demetrio Stojanoff

Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitari…