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.
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页码：303 / 318
页数：16
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