Finding the Most Probable Nonnegative Solutions of Systems of Linear Algebraic Equations by the Maximum Likelihood Method

被引：0

作者：

Antyufeev, V. S. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Pr Akad Lavrenteva 6, Novosibirsk 630090, Russia

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2013年 / 6卷 / 03期

关键词：

system of linear equations; nonnegative regularization; probability distribution; stochastic ensemble;

D O I：

10.1134/S1995423913030026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A probabilistic method of regularization is proposed. This method enables obtaining nonnegative solutions to systems of linear algebraic equations. A theorem of existence of the best possible solution is proved. A numerical example application of the method is given.

引用

页码：187 / 196

页数：10

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