IMPLICIT ITERATION METHOD OF SOLVING LINEAR EQUATIONS WITH APPROXIMATING RIGHT-HAND MEMBER AND APPROXIMATELY SPECIFIED OPERATOR

被引：0

作者：

Matysik, Oleg ^{[1
]}

机构：

[1] Brest State Univ, 21 Kosmonavtov Blvd, Brest 224016, BELARUS

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2014年 / 2卷 / 116期

关键词：

Regularization; iteration method; incorrect problem; Hilbert space; self-conjugated and non self-conjugated approximately operator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article deals with the study of the implicit method of solving linear equations with nonnegative self-adjoint and nonself-adjoint limited operator in Hilbert space. It aims at proving the method convergence in case of a priori choice of the number of iterations in the basic norm of Hilbert space on the assumption of existing errors not only in the equation right-hand member but in the operator as well. Error estimation and a priori stop moment are obtained.

引用

页码：89 / 95

页数：7

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