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SOLUTION DIFFERENTIABILITY AND CONTINUATION OF NEWTON METHOD FOR VARIATIONAL INEQUALITY PROBLEMS OVER POLYHEDRAL-SETS
被引:17
作者
:
PANG, JS
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematical Sciences, Johns Hopkins University, Baltimore, Maryland
PANG, JS
机构
:
[1]
Department of Mathematical Sciences, Johns Hopkins University, Baltimore, Maryland
来源
:
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
|
1990年
/ 66卷
/ 01期
关键词
:
continuation;
generalized equations;
Newton's method;
solution differentiability;
Variational inequalities;
D O I
:
10.1007/BF00940536
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
:
In this paper, we derive some further differentiability properties of solutions to a parametric variational inequality problem defined over a polyhedral set. We discuss how these results can be used to establish the feasibility of continuation of Newton's method for solving the variational problem in question. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:121 / 135
页数:15
相关论文
共 22 条
[1]
SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS
ALLGOWER, E
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0
引用数:
0
h-index:
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UNIV BONN,D-5300 BONN 1,FED REP GER
ALLGOWER, E
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引用数:
0
h-index:
0
机构:
UNIV BONN,D-5300 BONN 1,FED REP GER
GEORG, K
[J].
SIAM REVIEW,
1980,
22
(01)
: 28
-
85
[2]
[Anonymous], 1981, PATHWAYS SOLUTIONS F
[3]
[Anonymous], 2854 U WISC MATH RES
[4]
FEASIBILITY OF CONTINUATION METHODS FOR NONLINEAR EQUATIONS
AVILA, JH
论文数:
0
引用数:
0
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0
机构:
GE,NUCL ENERGY DIV,SAN JOSE,CA 95125
GE,NUCL ENERGY DIV,SAN JOSE,CA 95125
AVILA, JH
[J].
SIAM JOURNAL ON NUMERICAL ANALYSIS,
1974,
11
(01)
: 102
-
122
[5]
SENSITIVITY ANALYSIS IN VARIATIONAL-INEQUALITIES
DAFERMOS, S
论文数:
0
引用数:
0
h-index:
0
DAFERMOS, S
[J].
MATHEMATICS OF OPERATIONS RESEARCH,
1988,
13
(03)
: 421
-
434
[6]
HARKER PT, IN PRESS MATH PROG B
[7]
Josephy N. H., 1979, 1965 U WISC MATH RES
[8]
A NEW CONTINUATION METHOD FOR COMPLEMENTARITY-PROBLEMS WITH UNIFORM P-FUNCTIONS
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MIZUNO, S
NOMA, T
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引用数:
0
h-index:
0
机构:
TOKYO INST TECHNOL,DEPT IND ENGN & MANAGEMENT,MEGURO KU,TOKYO 152,JAPAN
NOMA, T
[J].
MATHEMATICAL PROGRAMMING,
1989,
43
(01)
: 107
-
113
[9]
PERTURBED SOLUTIONS OF VARIATIONAL INEQUALITY PROBLEMS OVER POLYHEDRAL-SETS
KYPARISIS, J
论文数:
0
引用数:
0
h-index:
0
KYPARISIS, J
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1988,
57
(02)
: 295
-
305
[10]
UNIQUENESS AND DIFFERENTIABILITY OF SOLUTIONS OF PARAMETRIC NONLINEAR COMPLEMENTARITY-PROBLEMS
KYPARISIS, J
论文数:
0
引用数:
0
h-index:
0
机构:
Florida Int Univ, Miami, FL, USA, Florida Int Univ, Miami, FL, USA
KYPARISIS, J
[J].
MATHEMATICAL PROGRAMMING,
1986,
36
(01)
: 105
-
113
←
1
2
3
→
共 22 条
[1]
SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS
ALLGOWER, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV BONN,D-5300 BONN 1,FED REP GER
ALLGOWER, E
GEORG, K
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV BONN,D-5300 BONN 1,FED REP GER
GEORG, K
[J].
SIAM REVIEW,
1980,
22
(01)
: 28
-
85
[2]
[Anonymous], 1981, PATHWAYS SOLUTIONS F
[3]
[Anonymous], 2854 U WISC MATH RES
[4]
FEASIBILITY OF CONTINUATION METHODS FOR NONLINEAR EQUATIONS
AVILA, JH
论文数:
0
引用数:
0
h-index:
0
机构:
GE,NUCL ENERGY DIV,SAN JOSE,CA 95125
GE,NUCL ENERGY DIV,SAN JOSE,CA 95125
AVILA, JH
[J].
SIAM JOURNAL ON NUMERICAL ANALYSIS,
1974,
11
(01)
: 102
-
122
[5]
SENSITIVITY ANALYSIS IN VARIATIONAL-INEQUALITIES
DAFERMOS, S
论文数:
0
引用数:
0
h-index:
0
DAFERMOS, S
[J].
MATHEMATICS OF OPERATIONS RESEARCH,
1988,
13
(03)
: 421
-
434
[6]
HARKER PT, IN PRESS MATH PROG B
[7]
Josephy N. H., 1979, 1965 U WISC MATH RES
[8]
A NEW CONTINUATION METHOD FOR COMPLEMENTARITY-PROBLEMS WITH UNIFORM P-FUNCTIONS
KOJIMA, M
论文数:
0
引用数:
0
h-index:
0
机构:
TOKYO INST TECHNOL,DEPT IND ENGN & MANAGEMENT,MEGURO KU,TOKYO 152,JAPAN
KOJIMA, M
MIZUNO, S
论文数:
0
引用数:
0
h-index:
0
机构:
TOKYO INST TECHNOL,DEPT IND ENGN & MANAGEMENT,MEGURO KU,TOKYO 152,JAPAN
MIZUNO, S
NOMA, T
论文数:
0
引用数:
0
h-index:
0
机构:
TOKYO INST TECHNOL,DEPT IND ENGN & MANAGEMENT,MEGURO KU,TOKYO 152,JAPAN
NOMA, T
[J].
MATHEMATICAL PROGRAMMING,
1989,
43
(01)
: 107
-
113
[9]
PERTURBED SOLUTIONS OF VARIATIONAL INEQUALITY PROBLEMS OVER POLYHEDRAL-SETS
KYPARISIS, J
论文数:
0
引用数:
0
h-index:
0
KYPARISIS, J
[J].
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1988,
57
(02)
: 295
-
305
[10]
UNIQUENESS AND DIFFERENTIABILITY OF SOLUTIONS OF PARAMETRIC NONLINEAR COMPLEMENTARITY-PROBLEMS
KYPARISIS, J
论文数:
0
引用数:
0
h-index:
0
机构:
Florida Int Univ, Miami, FL, USA, Florida Int Univ, Miami, FL, USA
KYPARISIS, J
[J].
MATHEMATICAL PROGRAMMING,
1986,
36
(01)
: 105
-
113
←
1
2
3
→