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
收藏
页码：89 / 95
页数：7
相关论文
共 50 条
12345