OPTIMIZATION OF 'log x' ENTROPY OVER LINEAR EQUALITY CONSTRAINTS.

Yair Censor; Arnold Lent

doi:10.1137/0325050

OPTIMIZATION OF 'log x' ENTROPY OVER LINEAR EQUALITY CONSTRAINTS.

Yair Censor
, Arnold Lent

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we develop a special-purpose iterative algorithm, of the row-action type, for solving the problem of maximizing the 'log x' entropy functional over linear equality constraints. The algorithm employs 'projections' onto hyperplanes which we call 'log x' entropy projections. A complete proof of convergence is given.

Original language	English
Pages (from-to)	921-933
Number of pages	13
Journal	SIAM Journal on Control and Optimization
Volume	25
Issue number	4
DOIs	https://doi.org/10.1137/0325050
State	Published - 1987

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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title = "OPTIMIZATION OF 'log x' ENTROPY OVER LINEAR EQUALITY CONSTRAINTS.",

abstract = "In this paper we develop a special-purpose iterative algorithm, of the row-action type, for solving the problem of maximizing the 'log x' entropy functional over linear equality constraints. The algorithm employs 'projections' onto hyperplanes which we call 'log x' entropy projections. A complete proof of convergence is given.",

author = "Yair Censor and Arnold Lent",

year = "1987",

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language = "English",

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journal = "SIAM Journal on Control and Optimization",

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publisher = "Society for Industrial and Applied Mathematics Publications",

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AU - Censor, Yair

AU - Lent, Arnold

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AB - In this paper we develop a special-purpose iterative algorithm, of the row-action type, for solving the problem of maximizing the 'log x' entropy functional over linear equality constraints. The algorithm employs 'projections' onto hyperplanes which we call 'log x' entropy projections. A complete proof of convergence is given.

UR - https://www.scopus.com/pages/publications/0023382036

U2 - 10.1137/0325050

DO - 10.1137/0325050

M3 - Article

AN - SCOPUS:0023382036

SN - 0363-0129

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EP - 933

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 4

ER -

OPTIMIZATION OF 'log x' ENTROPY OVER LINEAR EQUALITY CONSTRAINTS.

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