ENTROPY MINIMIZATION, DAD PROBLEMS, AND DOUBLY STOCHASTIC KERNELS

Authors
BORWEIN JM LEWIS AS NUSSBAUM RD
Citation
Jm. Borwein et al., ENTROPY MINIMIZATION, DAD PROBLEMS, AND DOUBLY STOCHASTIC KERNELS, Journal of functional analysis, 123(2), 1994, pp. 264-307
Citations number
26
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
123
Issue
2
Year of publication
1994
Pages
264 - 307
Database
ISI
SICI code
0022-1236(1994)123:2<264:EMDPAD>2.0.ZU;2-V
Abstract
The classical DAD problem asks, for a square matrix A with nonnegative entries, when it is possible to find positive diagonal matrices D1 an d D2 with D1AD2 doubly stochastic. We consider various continuous and measurable generalizations of this problem. Through a fusion of variat ional and fixed point techniques we obtain strong analogues of the cla ssical results. Our extensions appear inaccessible by either technique separately. (C) 1994 Academic Press, Inc.