IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Minimization of convex functionals over frame operators
Autor/es:
MASSEY, PEDRO G; RUIZ, MARIANO
Revista:
ADVANCES IN COMPUTATIONAL MATHEMATICS
Editorial:
SPRINGER
Referencias:
Lugar: New York; Año: 2010 vol. 32 p. 131 - 153
ISSN:
1019-7168
Resumen:
We present results about minimization of convex functionals defined over a fi nite set of vectors in a fi nite 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.
