Minimization of convex functionals over frame operators
Functional Analysis
2007-10-08 v1
Abstract
We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one.
Cite
@article{arxiv.0710.1258,
title = {Minimization of convex functionals over frame operators},
author = {Pedro Massey and Mariano Ruiz},
journal= {arXiv preprint arXiv:0710.1258},
year = {2007}
}