- Title
- Entropy minimization, DAD problems, and doubly stochastic kernels
- Creator
- Borwein, J. M.; Lewis, A. S.; Nussbaum, R. D.
- Relation
- Journal of Functional Analysis Vol. 123, Issue 2, p. 264-307
- Publisher Link
- http://dx.doi.org/10.1006/jfan.1994.1089
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 1994
- Description
- The classical DAD problem asks, for a square matrix A with nonnegative entries, when it is possible to find positive diagonal matrices D₁ and D₂ with D₁AD₂ doubly stochastic. We consider various continuous and measurable generalizations of this problem. Through a fusion of variational and fixed point techniques we obtain strong analogues of the classical results. Our extensions appear inaccessible by either technique separately.
- Subject
- entropy; matrices; stochastic; kernels
- Identifier
- http://hdl.handle.net/1959.13/940895
- Identifier
- uon:13121
- Identifier
- ISSN:0022-1236
- Language
- eng
- Reviewed
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