Methods for realization of scalar products and moment problems with maximum entropy

被引：0

作者：

Girardin, V

机构：

来源：

STUDIA MATHEMATICA | 1997年 / 124卷 / 03期

关键词：

moments; scalar product; entropy maximization;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop several methods of realization of scalar product and generalized moment problems. Constructions are made by use of a Hilbertian method or a fixed point method. The constructed solutions are rational fractions and exponentials of polynomials. They are connected to entropy maximization. We give the general form of the maximizing solution. We show how it is deduced from the maximizing solution of the algebraic moment problem.

引用

页码：199 / 213

页数：15

共 50 条

[31] Monte Carlo methods as a validation tool for the maximum entropy closure of the moment hierarchy of Boltzmann equation
Giusa, A
Russo, G
Bellini, V
Sutera, CM
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2004, 119 (12): : 1173 - 1186
[32] Time evolution of polymer distribution functions from moment equations and maximum-entropy methods
Poland, D
JOURNAL OF CHEMICAL PHYSICS, 1999, 111 (17): : 8214 - 8224
[33] Linearizations, realization, and scalar products for regular matrix polynomials
Krupnik, I
Lancaster, P
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 272 : 45 - 57
[34] Linearizations, realization, and scalar products for regular matrix polynomials
Dept. of Mathematics and Statistics, University of Calgary, Calgary, Alta. T2N 1N4, Canada
Linear Algebra Its Appl, 1-3 (45-57):
[35] Regularization, maximum entropy and probabilistic methods in mass spectrometry data processing problems
Mohammad-Djafari, A
Giovannelli, JF
Demoment, G
Idier, J
INTERNATIONAL JOURNAL OF MASS SPECTROMETRY, 2002, 215 (1-3) : 175 - 193
[36] On Polynomial Maximum Entropy Method for Classical Moment Problem
Ding, Jiu
Rhee, Noah H.
Zhang, Chenhua
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2016, 8 (01) : 117 - 127
[37] A SIMULATION STUDY OF THE MAXIMUM-ENTROPY MOMENT MATRIX
MEISNER, JF
ECONOMICS LETTERS, 1979, 4 (04) : 333 - 336
[38] THE MAXIMUM-ENTROPY MOMENT MATRIX WITH MISSING VALUES
CONWAY, D
THEIL, H
ECONOMICS LETTERS, 1980, 5 (04) : 319 - 322
[39] Hausdorff moment problem and Maximum Entropy: On the existence conditions
Frontini, M.
Tagliani, A.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (02) : 430 - 433
[40] Maximum Entropy Criterion for Moment Indeterminacy of Probability Densities
Stoyanov, Jordan M.
Tagliani, Aldo
Inverardi, Pier Luigi Novi
ENTROPY, 2024, 26 (02)

← 1 2 3 4 5 →