A numerical approach to optimization problems with variational inequality constraints
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| Published in | Mathematical programming Vol. 68; no. 1-3; pp. 105 - 130 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer
02.01.1995
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0025-5610 1436-4646 |
| DOI | 10.1007/BF01585759 |
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| Author | Zowe, Jochem Outrata, Jiří |
|---|---|
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| Cites_doi | 10.1287/moor.7.2.211 10.1007/BF02098173 10.1007/BF00935463 10.1016/0167-6377(88)90048-X 10.1287/moor.5.1.43 10.1137/0801006 10.1007/BF02739235 10.1007/BF01584073 10.1007/BF02098171 10.1137/0802008 10.1007/BF01580580 10.1007/BF01582259 10.1287/moor.16.2.292 10.1007/BF01582260 10.1007/BF00939610 10.1007/BF01585096 10.1007/BF01582255 10.1287/moor.14.3.410 10.1016/0377-2217(91)90325-P 10.1287/trsc.26.1.18 |
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| Issue | 1-3 |
| Keywords | Nash equilibrium Sensitivity analysis Numerical computation Variational inequality Function minimization Constrained optimization |
| Language | English |
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| References | J.M. Ortega (CR24) 1980 K. Schittkowski (CR32) 1985; 5 R.L. Tobin (CR36) 1992; 34 A.H. DeSilva (CR5) 1978 J.M. Henderson (CR14) 1980 M. Kočvara (CR16) 1992 P.T. Harker (CR12) 1991; 54 C. Lemaréchal (CR19) 1991 W. Alt (CR1) 1993; 29 S.D. Flåm (CR7) 1991 Y. Qiu (CR29) 1989; 14 P.T. Harker (CR10) 1987 O.L. Mangasarian (CR20) 1969 Y. Ishizuka (CR15) 1992; 34 S.M. Robinson (CR30) 1980; 5 H. Schramm (CR33) 1991 F.H. Murphy (CR23) 1982; 24 J.S. Pang (CR27) 1988; 7 J.V. Outrata (CR26) 1993; 76 M.J. Smith (CR35) 1984; 44 P.T. Harker (CR11) 1990; 48 S.M. Robinson (CR31) 1991; 16 J. Haslinger (CR13) 1988 U. Mosco (CR22) 1976 P. Marcotte (CR21) 1986; 34 J.S. Pang (CR28) 1991; 1 M. Kočvara (CR17) 1994 H. Schramm (CR34) 1992; 2 J.-P. Aubin (CR2) 1984 F.H. Clarke (CR4) 1983 T.L. Friesz (CR9) 1992; 26 B.C. Eaves (CR6) 1971; 1 D. Chan (CR3) 1982; 7 T.L. Friesz (CR8) 1990; 48 J. Kyparisis (CR18) 1990; 48 J.V. Outrata (CR25) 1990; 4 |
| References_xml | – volume-title: Microeconomic Theory year: 1980 ident: CR14 – volume: 7 start-page: 211 year: 1982 ident: CR3 publication-title: Mathematics of Operations Research doi: 10.1287/moor.7.2.211 – volume: 34 start-page: 73 year: 1992 ident: CR15 publication-title: Hierarchical Optimization, Annals of Operations Research doi: 10.1007/BF02098173 – volume-title: Nonlinear Programming year: 1969 ident: CR20 – volume: 44 start-page: 485 year: 1984 ident: CR35 publication-title: Journal of Optimization Theory and Applications doi: 10.1007/BF00935463 – volume-title: Sensitivity formulas for nonlinear factorable programming and their application to the solution of an implicitly defined optimization model of US crude oil production year: 1978 ident: CR5 – volume-title: Applied Nonlinear Analysis year: 1984 ident: CR2 – volume-title: Finite Element Approximation for Optimal Shape Design: Theory and Application year: 1988 ident: CR13 – volume-title: “A penalty function approach for mathematical programs with variational inequality constraints,” WP 87-08-08 year: 1987 ident: CR10 – volume: 7 start-page: 27 year: 1988 ident: CR27 publication-title: Operations Research Letters doi: 10.1016/0167-6377(88)90048-X – volume: 5 start-page: 43 year: 1980 ident: CR30 publication-title: Mathematics of Operations Research doi: 10.1287/moor.5.1.43 – volume: 1 start-page: 57 year: 1991 ident: CR28 publication-title: SIAM Journal on Optimization doi: 10.1137/0801006 – volume: 5 start-page: 485 year: 1985 ident: CR32 publication-title: Annals of Operations Research doi: 10.1007/BF02739235 – volume: 1 start-page: 68 year: 1971 ident: CR6 publication-title: Mathematical Programming doi: 10.1007/BF01584073 – volume-title: Nonlinear Operators and the Calculus of Variations, Lecture Notes in Mathematics, 543 year: 1976 ident: CR22 – volume: 34 start-page: 21 year: 1992 ident: CR36 publication-title: Hierarchical Optimization, Annals of Operations Research doi: 10.1007/BF02098171 – volume: 2 start-page: 121 year: 1992 ident: CR34 publication-title: SIAM Journal on Optimization doi: 10.1137/0802008 – volume: 29 start-page: 210 year: 1993 ident: CR1 publication-title: Kybernetika – volume: 34 start-page: 142 year: 1986 ident: CR21 publication-title: Mathematical Programming doi: 10.1007/BF01580580 – volume-title: “Bundle Trust methods: Fortran codes for nondifferentiable optimization. User's Guide,” DFG Research Report No. 269 year: 1991 ident: CR33 – volume: 48 start-page: 265 year: 1990 ident: CR8 publication-title: Mathematical Programming doi: 10.1007/BF01582259 – volume: 16 start-page: 282 year: 1991 ident: CR31 publication-title: Mathematics of Operations Research doi: 10.1287/moor.16.2.292 – volume: 48 start-page: 285 year: 1990 ident: CR18 publication-title: Mathematical Programming doi: 10.1007/BF01582260 – volume: 76 start-page: 305 year: 1993 ident: CR26 publication-title: Journal of Optimization Theory and Applications doi: 10.1007/BF00939610 – volume: 24 start-page: 92 year: 1982 ident: CR23 publication-title: Mathematical Programming doi: 10.1007/BF01585096 – volume-title: Iterative Solution of Nonlinear Equations in Several Variables year: 1980 ident: CR24 – volume-title: “Paths to constrained Nash equilibria,” Research Report UTM 345 year: 1991 ident: CR7 – volume-title: Nonlinear Programming 4 year: 1991 ident: CR19 – volume: 48 start-page: 161 year: 1990 ident: CR11 publication-title: Mathematical Programming doi: 10.1007/BF01582255 – volume-title: Optimization and Nonsmooth Analysis year: 1983 ident: CR4 – start-page: 261 volume-title: Boundary Control and Variation, Lecture Notes in Pure and Applied Mathematics 163 year: 1994 ident: CR17 – volume: 14 start-page: 410 year: 1989 ident: CR29 publication-title: Mathematics of Operations Research doi: 10.1287/moor.14.3.410 – volume: 4 start-page: 255 year: 1990 ident: CR25 publication-title: Zeitschrift für Operations Research – volume: 54 start-page: 81 year: 1991 ident: CR12 publication-title: European Journal of Operational Research doi: 10.1016/0377-2217(91)90325-P – volume: 26 start-page: 18 year: 1992 ident: CR9 publication-title: Transportation Science doi: 10.1287/trsc.26.1.18 – start-page: 364 volume-title: System Modelling and Optimization, Lecture Notes in Control and Information Sciences 180 year: 1992 ident: CR16 |
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| Title | A numerical approach to optimization problems with variational inequality constraints |
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