INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
Minimization of convex functionals over frame operators
MASSEY, PEDRO G; RUIZ, MARIANO
ADVANCES IN COMPUTATIONAL MATHEMATICS
Año: 2009 p. 1 - 1
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.