GENERAL ITERATION METHODS FOR THE EVALUATION OF LINEAR EQUATIONS

被引：5

作者：

BERG, L

机构：

[1] Wilhelm-Pieck-Universitat, Sektion Mathematik

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1979年 / 1卷 / 04期

关键词：

D O I：

10.1080/01630567908816022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convergence of general iteration methods for linear operator equations are investigated in a limit space. If the equation is not solvable, the iterates converge to a generalized solution. If the equation is not uniquely solvable, the initial approximation can be chosen in such a way that the iterates converge to an arbitrary solution. Furthermore, the iteration method yields the inner inverse of the operator. The article generalizes results of G. Maeβ [8] for linear systems of equations with rectangular matrices. Copyright © 1979 by Marcel Dekker, Inc. All Rights Reserved.

引用

页码：365 / 381

页数：17

共 14 条

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[9]

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[10]

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