A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics

被引：40

作者：

Addi, Khalid ^{[1
]}

Brogliato, B. ^{[2
]}

Goeleven, D. ^{[1
]}

机构：

[1] Univ La Reunion, IREMIA, F-97400 St Denis, France

[2] Bipop Team Project, INRIA, F-38334 Saint Ismier, France

来源：

MATHEMATICAL PROGRAMMING | 2011年 / 126卷 / 01期

关键词：

Linear variational inequalities; Linear complementarity problems; Recession functions; Recession cones; Set-valued ampere-volt characteristics in electronics;

D O I：

10.1007/s10107-009-0268-7

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems that we call "semi-complementarity problems". Then we show that the study of semi-complementarity problems can be used to prove new qualitative results applicable to the study of linear variational inequalities of the second kind.

引用

页码：31 / 67

页数：37

共 25 条

[1]

ADDI K, 2006, 5590 INRIA

[2] A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics [J].