Conditioning and regularization of nonsymmetric operators

被引：4

作者：

Renaud, A

Cohen, G

机构：

[1] ECOLE MINES,CTR AUTOMAT & SYST,PARIS,FRANCE

[2] INRIA,ROCQUENCOURT,FRANCE

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 92卷 / 01期

关键词：

variational inequalities; nonsymmetric operators; regularization; conditioning;

D O I：

10.1023/A:1022692114480

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A measure of the conditioning of an operator, depending on the strong monotonicity constant and the Dunn constant, is introduced. A notion of regularization with respect to some operator, which generalizes classical Yosida regularization, is defined. In particular, this transformation allows the construction of decomposition algorithms. The effect of this generalized regularization on the conditioning is studied.

引用

页码：127 / 148

页数：22

共 24 条

[1] PROPERTIES OF ANGLE-BOUNDED AND N-CYCLICALLY MONOTONE OPERATORS [J].