Iterative methods for solving linear operator equations in Banach spaces

被引：0

作者：

Chistyakov, P. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Physicomath Sci, Moscow, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 03期

关键词：

iterative method; duality mapping; B-symmetric operator; B-positive operator; minimum-norm solution; Bregman distance; uniformly convex space; smooth space; Xu-Roach characteristic inequality; modulus of smoothness of a space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Iterative methods for solving the linear operator equation Ax = y with B-symmetric B-positive operator acting from a Banach space X to a Banach space Y are considered. The space X is assumed to be uniformly convex and smooth, whereas Y is an arbitrary Banach space. The cases of exact and disturbed data are considered and the strong (norm) convergence of the iterative processes is proved.

引用

页码：303 / 318

页数：16

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