Correctness criteria for algebraic closures of the estimate-calculating algorithm model

被引：2

作者：

D'yakonov, A. G. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

DOKLADY MATHEMATICS | 2008年 / 77卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Equivalence Class; Control Object; DOKLADY Mathematic; Algebraic Closure; Estimate Matrix;

D O I：

10.1134/S1064562408030356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to determine the correctness criteria for algebraic closures of the estimate-calculating algorithm (ECA) model. The study found a correct algorithm of minimal power complexity in a special form and criteria for the realization of a particular classification of a control sample. The study constructed a metric containing the entire information on the algebraic closures of the models. An estimate-calculating algorithm was represented as a composite of a recognition operator and a decision rule. The study defined the linear closure of recognition operators, as the set of all linear combination of operators and the algebraic closure of degree k, as the set of polynomials of degrees of k in operators form.

引用

页码：453 / 456

页数：4

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