9 citations · 24 across the 17 of their papers we have counts for
19 papers
Best multi-valued approximants via multi-designs
María José Benac, Noelia Belén Rios, Mariano Ruiz
Let be a decreasing finite sequence of positive integers, and let be a finite and non-increasin…
On perturbations of woven pairs of frames
Pablo Calderón, Mariano Ruiz
In this note, we prove some results related to small perturbations of a frame for a Hilbert space in order to have a woven pair for . Our results complet…
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 and , a well known result by Gelfand, Naimark and Lidskii establishes a relationship between the eigenvalues of and and those of…
A note on perturbations of Fusion Frames
M. Ruiz, P. Calderón
In this work, we consider some relationships between a closed range operator and a fusion frame for a Hilbert space that provides…
Optimal frame designs for multitasking devices with weight restrictions
María José Benac, Pedro Massey, Mariano Ruiz +1
Let be a finite sequence (of dimensions) and be a sequence of positive numbers (of weights), where $\m…
Multiplicative Lidskii's inequalities and optimal perturbations of frames
Pedro G. Massey, Mariano A. Ruiz, Demetrio Stojanoff
In this paper we study two design problems in frame theory: on the one hand, given a fixed finite frame $\cF$ for $\hil\cong\C^d$ we compute those dual frames $\cG$ of $\cF$ that a…