-
1
-
-
0026203792
-
Finite convergence of algorithms for nonlinear programs and variational inequalities
-
F. Al-Khayyal and J. Kyparisis, "Finite convergence of algorithms for nonlinear programs and variational inequalities," Journal of Optimization Theory and Applications, vol. 70, pp. 319-332, 1991.
-
(1991)
Journal of Optimization Theory and Applications
, vol.70
, pp. 319-332
-
-
Al-Khayyal, F.1
Kyparisis, J.2
-
2
-
-
0024739313
-
Variational principles for variational inequalities
-
G. Auchmuty, "Variational principles for variational inequalities," Numerical Functional Analysis and Optimization, vol. 10, pp. 863-874, 1989.
-
(1989)
Numerical Functional Analysis and Optimization
, vol.10
, pp. 863-874
-
-
Auchmuty, G.1
-
6
-
-
0010172035
-
QPCOMP: A quadratic program based solver for mixed complementarity problems
-
S.C. Billups and M.C. Ferris, "QPCOMP: A quadratic program based solver for mixed complementarity problems," Mathematical Programming, vol. 76, pp. 533-562, 1997.
-
(1997)
Mathematical Programming
, vol.76
, pp. 533-562
-
-
Billups, S.C.1
Ferris, M.C.2
-
8
-
-
0026763569
-
Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
-
M. Fukushima, "Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems," Mathematical Programming, vol. 53, pp. 99-110, 1992.
-
(1992)
Mathematical Programming
, vol.53
, pp. 99-110
-
-
Fukushima, M.1
-
9
-
-
0002358032
-
Merit functions for variational inequality and complementarity problems
-
G. Di Pillo and F. Giannessi (Eds.), Plenum Press: New York
-
M. Fukushima, "Merit functions for variational inequality and complementarity problems," in Nonlinear Optimization and Applications, G. Di Pillo and F. Giannessi (Eds.), Plenum Press: New York, 1996, pp. 155-170.
-
(1996)
Nonlinear Optimization and Applications
, pp. 155-170
-
-
Fukushima, M.1
-
10
-
-
0007157006
-
Unconstrained minimization approaches to nonlinear complementarity problems
-
H. Jiang, "Unconstrained minimization approaches to nonlinear complementarity problems," Journal of Global Optimization, vol. 9, pp. 169-181, 1996.
-
(1996)
Journal of Global Optimization
, vol.9
, pp. 169-181
-
-
Jiang, H.1
-
11
-
-
0002222760
-
Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities
-
C. Kanzow and M. Fukushima, "Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities," Mathematical Programming, vol. 83, pp. 55-87, 1998.
-
(1998)
Mathematical Programming
, vol.83
, pp. 55-87
-
-
Kanzow, C.1
Fukushima, M.2
-
12
-
-
0032131672
-
Solving box constrained variational inequalities by using the natural residual with D-gap function globalization
-
C. Kanzow and M. Fukushima, "Solving box constrained variational inequalities by using the natural residual with D-gap function globalization," Operations Research Letters, vol. 23, pp. 45-51, 1998.
-
(1998)
Operations Research Letters
, vol.23
, pp. 45-51
-
-
Kanzow, C.1
Fukushima, M.2
-
13
-
-
0031513640
-
New NCP-functions and their properties
-
C. Kanzow, N. Yamashita, and M. Fukushima, "New NCP-functions and their properties," Journal of Optimization Theory and Applications, vol. 94, pp. 115-135, 1997.
-
(1997)
Journal of Optimization Theory and Applications
, vol.94
, pp. 115-135
-
-
Kanzow, C.1
Yamashita, N.2
Fukushima, M.3
-
14
-
-
0001922641
-
A class of gap functions for variational inequalities
-
T. Larsson and M. Patriksson, "A class of gap functions for variational inequalities," Mathematical Programming, vol. 64, pp. 53-79, 1994.
-
(1994)
Mathematical Programming
, vol.64
, pp. 53-79
-
-
Larsson, T.1
Patriksson, M.2
-
15
-
-
0003128905
-
A new class of merit functions for the nonlinear complementarity problem
-
M.C. Ferris and J.-S. Pang (Eds.), SIAM: Philadelphia
-
Z.-Q. Luo and P. Tseng, "A new class of merit functions for the nonlinear complementarity problem," in Complementarity and Variational Problems: State of the Art, M.C. Ferris and J.-S. Pang (Eds.), SIAM: Philadelphia, 1997.
-
(1997)
Complementarity and Variational Problems: State of the Art
-
-
Luo, Z.-Q.1
Tseng, P.2
-
16
-
-
34250076671
-
Nonlinear complementarity as unconstrained and constrained minimization
-
O.L. Mangasarian and M.V. Solodov, "Nonlinear complementarity as unconstrained and constrained minimization," Mathematical Programming, vol. 62, pp. 277-297, 1993.
-
(1993)
Mathematical Programming
, vol.62
, pp. 277-297
-
-
Mangasarian, O.L.1
Solodov, M.V.2
-
17
-
-
0032662717
-
A linearly convergent derivative-free descent method for strongly monotone complementarity problems
-
O.L. Mangasarian and M.V. Solodov, "A linearly convergent derivative-free descent method for strongly monotone complementarity problems," Computational Optimization and Applications, vol. 14, pp. 5-16, 1999.
-
(1999)
Computational Optimization and Applications
, vol.14
, pp. 5-16
-
-
Mangasarian, O.L.1
Solodov, M.V.2
-
18
-
-
0032236450
-
Weak sharp solutions of variational inequalities
-
P. Marcotte and D.L. Zhu, "Weak sharp solutions of variational inequalities," SIAM Journal on Optimization, vol. 9, pp. 179-189, 1999.
-
(1999)
SIAM Journal on Optimization
, vol.9
, pp. 179-189
-
-
Marcotte, P.1
Zhu, D.L.2
-
19
-
-
0000150038
-
Error bounds in mathematical programming
-
J.-S. Pang, "Error bounds in mathematical programming," Mathematical Programming, vol. 79, pp. 299-332, 1997.
-
(1997)
Mathematical Programming
, vol.79
, pp. 299-332
-
-
Pang, J.-S.1
-
20
-
-
0001070251
-
Equivalence of variational inequality problems to unconstrained minimization
-
J.-M. Peng, "Equivalence of variational inequality problems to unconstrained minimization," Mathematical Programming, vol. 78, pp. 347-355, 1997.
-
(1997)
Mathematical Programming
, vol.78
, pp. 347-355
-
-
Peng, J.-M.1
-
21
-
-
0000860428
-
A hybrid Newton method for solving the variational inequality problem via the D-gap function
-
J.-M. Peng and M. Fukushima, "A hybrid Newton method for solving the variational inequality problem via the D-gap function," Mathematical Programming, vol. 86, pp. 367-386, 1999.
-
(1999)
Mathematical Programming
, vol.86
, pp. 367-386
-
-
Peng, J.-M.1
Fukushima, M.2
-
22
-
-
0032670483
-
A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function
-
J.-M. Peng, M. Fukushima, and C. Kanzow, "A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function," Optimization Methods and Software, vol. 10, pp. 687-710, 1999.
-
(1999)
Optimization Methods and Software
, vol.10
, pp. 687-710
-
-
Peng, J.-M.1
Fukushima, M.2
Kanzow, C.3
-
23
-
-
85049776636
-
-
Optimization Software, Inc., Publications Division: New York
-
B.T. Polyak, Introduction to Optimization, Optimization Software, Inc., Publications Division: New York, 1987.
-
(1987)
Introduction to Optimization
-
-
Polyak, B.T.1
-
24
-
-
0003354387
-
Implicit Lagrangian
-
C. Floudas and P. Pardalos (Eds.), Kluwer Academic Publishers
-
M.V. Solodov, "Implicit Lagrangian," in Encyclopedia of Optimization, C. Floudas and P. Pardalos (Eds.), Kluwer Academic Publishers, 2000.
-
(2000)
Encyclopedia of Optimization
-
-
Solodov, M.V.1
-
25
-
-
22844456506
-
A hybrid projection-proximal point algorithm
-
M.V. Solodov and B.F. Svaiter, "A hybrid projection-proximal point algorithm," Journal of Convex Analysis, vol. 6, pp. 59-70, 1999.
-
(1999)
Journal of Convex Analysis
, vol.6
, pp. 59-70
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
26
-
-
0027543289
-
A globally convergent Newton method for solving strongly monotone variational inequalities
-
K. Taji, M. Fukushima, and T. Ibaraki, "A globally convergent Newton method for solving strongly monotone variational inequalities," Mathematical Programming, vol. 58, pp. 369-383, 1993.
-
(1993)
Mathematical Programming
, vol.58
, pp. 369-383
-
-
Taji, K.1
Fukushima, M.2
Ibaraki, T.3
-
27
-
-
0001321899
-
A computable generalized Hessian of the D-gap function and Newton-type methods for variational inequality problems
-
M.C. Ferris and J.-S. Pang (Eds.), SIAM: Philadelphia
-
D. Sun, M. Fukushima, and L. Qi, "A computable generalized Hessian of the D-gap function and Newton-type methods for variational inequality problems," in Complementarity and Variational Problems: State of the Art, M.C. Ferris and J.-S. Pang (Eds.), SIAM: Philadelphia, 1997, pp. 452-473.
-
(1997)
Complementarity and Variational Problems: State of the Art
, pp. 452-473
-
-
Sun, D.1
Fukushima, M.2
Qi, L.3
-
28
-
-
0027664261
-
A general descent framework for the monotone variational inequality problem
-
J.H. Wu, M. Florian, and P. Marcotte, "A general descent framework for the monotone variational inequality problem," Mathematical Programming, vol. 61, pp. 281-300, 1993.
-
(1993)
Mathematical Programming
, vol.61
, pp. 281-300
-
-
Wu, J.H.1
Florian, M.2
Marcotte, P.3
-
29
-
-
0342608431
-
A new derivative-free descent method for the nonlinear complementarity problem
-
G. Di Pillo and F. Giannessi (Eds.), Kluwer Academic Publishers
-
K. Yamada, N. Yamashita, and M. Fukushima, "A new derivative-free descent method for the nonlinear complementarity problem," in Nonlinear Optimization and Applications 2, G. Di Pillo and F. Giannessi (Eds.), Kluwer Academic Publishers, pp. 463-487, 2000.
-
(2000)
Nonlinear Optimization and Applications
, vol.2
, pp. 463-487
-
-
Yamada, K.1
Yamashita, N.2
Fukushima, M.3
-
30
-
-
21844488561
-
On stationary points of the implicit Lagrangian for nonlinear complementarity problems
-
N. Yamashita and M. Fukushima, "On stationary points of the implicit Lagrangian for nonlinear complementarity problems," Journal of Optimization Theory and Applications, vol. 19, pp. 653-663, 1995.
-
(1995)
Journal of Optimization Theory and Applications
, vol.19
, pp. 653-663
-
-
Yamashita, N.1
Fukushima, M.2
-
31
-
-
0031530152
-
Unconstrained optimization reformulations of variational inequality problems
-
N. Yamashita, K. Taji, and M. Fukushima, "Unconstrained optimization reformulations of variational inequality problems," Journal of Optimization Theory and Applications, vol. 92, pp. 439-456, 1997.
-
(1997)
Journal of Optimization Theory and Applications
, vol.92
, pp. 439-456
-
-
Yamashita, N.1
Taji, K.2
Fukushima, M.3
-
32
-
-
0343914171
-
-
Research Report, School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Australia
-
H. Xu, "Fukushima's regularized gap function and Peng's D-gap function for nonsmooth variational inequalities," Research Report, School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Australia, 1998.
-
(1998)
Fukushima's Regularized Gap Function and Peng's D-gap Function for Nonsmooth Variational Inequalities
-
-
Xu, H.1
-
33
-
-
0010759844
-
Modified descent methods for solving the monotone variational inequality problem
-
D.L. Zhu and P. Marcotte, "Modified descent methods for solving the monotone variational inequality problem," Operations Research Letters, vol. 14, pp. 111-120, 1993.
-
(1993)
Operations Research Letters
, vol.14
, pp. 111-120
-
-
Zhu, D.L.1
Marcotte, P.2
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