IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Optimal reconstruction Systems for erasures and for the q-potential
Autor/es:
MASSEY, PEDRO; RUIZ, MARIANO; STOJANOFF, DEMETRIO
Lugar:
Braunschweig - Alemania
Reunión:
Congreso; International Linear Algenra Society meeting 2011; 2011
Institución organizadora:
International Linear Algenra Society
Resumen:
In this talk we consider the $q$-potential as an extension of theBenedetto-Fickus frame potential, defined on reconstruction systems - that are a subclass of G-frames - and show that protocols are the minimizers of thispotential under certain restrictions. We describe the structure of optimal protocols with respect to 1 and2 lost packets where the worst (normalized) reconstruction error iscomputed with respect to a compatible unitarily invariant norm. Wedescribe necessary and sufficient (spectral) conditions, thatwe call $q$-fundamental inequalities, for the existence of protocolswith prescribed properties by relating this problem to Klyachko┬┤sand Fulton┬┤s theory on sums of hermitian operators and relate that problem with the notion of extended majorization between hermitian matrices.