-
1
-
-
0030648154
-
A comparison of algorithms for large-scale mixed complementarity problems
-
S. C. BILLUPS, S. P. DIRKSE, AND M. C. FERRIS, A comparison of algorithms for large-scale mixed complementarity problems, Comput. Optim. Appl., 7 (1997), pp. 3-25.
-
(1997)
Comput. Optim. Appl.
, vol.7
, pp. 3-25
-
-
Billups, S.C.1
Dirkse, S.P.2
Ferris, M.C.3
-
2
-
-
85033964044
-
The global linear convergence of a non-interior path-following algorithm for linear complementarity problem
-
to appear
-
J. BURKE AND S. XU, The global linear convergence of a non-interior path-following algorithm for linear complementarity problem, Math. Oper. Res., to appear.
-
Math. Oper. Res.
-
-
Burke, J.1
Xu, S.2
-
3
-
-
0039068956
-
-
Preprint, Department of Mathematics, University of Washington, Seattle
-
J. BURKE AND S. XU, A Non-Interior Predictor-Corrector Path Following Algorithm for the Monotone Linear Complementarity Problem, Preprint, Department of Mathematics, University of Washington, Seattle, 1997.
-
(1997)
A Non-interior Predictor-corrector Path Following Algorithm for the Monotone Linear Complementarity Problem
-
-
Burke, J.1
Xu, S.2
-
5
-
-
21344485287
-
A non-interior-point continuation method for linear complementarity problems
-
B. CHEN AND P. T. HARKER, A non-interior-point continuation method for linear complementarity problems, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 1168-1190.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 1168-1190
-
-
Chen, B.1
Harker, P.T.2
-
6
-
-
0031493118
-
Smooth approximations to nonlinear complementarity problems
-
B. CHEN AND P. T. HARKER, Smooth approximations to nonlinear complementarity problems, SIAM J. Optim., 7 (1997), pp. 403-420.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 403-420
-
-
Chen, B.1
Harker, P.T.2
-
7
-
-
0040531597
-
A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing function
-
B. CHEN AND N. XIU, A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing function, SIAM J. Optim., 9 (1999), pp. 605-623.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 605-623
-
-
Chen, B.1
Xiu, N.2
-
8
-
-
0029206129
-
Smoothing methods for convex inequalities and linear complementarity problems
-
C. CHEN AND O. L. MANGASARIAN, Smoothing methods for convex inequalities and linear complementarity problems, Math. Programming, 71 (1995), pp. 51-69.
-
(1995)
Math. Programming
, vol.71
, pp. 51-69
-
-
Chen, C.1
Mangasarian, O.L.2
-
9
-
-
0030104686
-
A class of smoothing functions for nonlinear and mixed complementarity problems
-
C. CHEN AND O. L. MANGASARIAN, A class of smoothing functions for nonlinear and mixed complementarity problems, Comput. Optim. Appl., 5 (1996), pp. 97-138.
-
(1996)
Comput. Optim. Appl.
, vol.5
, pp. 97-138
-
-
Chen, C.1
Mangasarian, O.L.2
-
10
-
-
0028436825
-
A parameterized Newton method and a Broyden-like method for solving nonsmooth equations
-
X. CHEN AND L. QI, A parameterized Newton method and a Broyden-like method for solving nonsmooth equations, Comput. Optim. Appl., 3 (1994), pp. 157-179.
-
(1994)
Comput. Optim. Appl.
, vol.3
, pp. 157-179
-
-
Chen, X.1
Qi, L.2
-
11
-
-
0032380644
-
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
-
X. CHEN, L. QI, AND D. SUN, Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities, Math. Comp., 67 (1998), pp. 519-540.
-
(1998)
Math. Comp.
, vol.67
, pp. 519-540
-
-
Chen, X.1
Qi, L.2
Sun, D.3
-
12
-
-
0345148378
-
On homotopy-smoothing methods for box-constrained variational inequalities
-
X. CHEN AND Y. YE, On homotopy-smoothing methods for box-constrained variational inequalities, SIAM J. Control Optim., 37 (1999), pp. 589-616.
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 589-616
-
-
Chen, X.1
Ye, Y.2
-
14
-
-
0003735415
-
The Linear Complementarity Problem
-
Academic Press, San Diego, CA
-
R. W. COTTLE, J.-S. PANG, AND R. E. STONE, The Linear Complementarity Problem, Computer Science and Scientific Computing, Academic Press, San Diego, CA, 1990.
-
(1990)
Computer Science and Scientific Computing
-
-
Cottle, R.W.1
Pang, J.-S.2
Stone, R.E.3
-
15
-
-
0029423693
-
The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems
-
S. P. DIRKSE AND M. C. FERRIS, The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems, Optim. Methods Softw., 5 (1995), pp. 123-156.
-
(1995)
Optim. Methods Softw.
, vol.5
, pp. 123-156
-
-
Dirkse, S.P.1
Ferris, M.C.2
-
16
-
-
85031547928
-
Beyond monotonicity in regularization methods for nonlinear complementarity problems
-
to appear
-
F. FACCHINEI AND C. KANZOW, Beyond monotonicity in regularization methods for nonlinear complementarity problems, SIAM J. Control Optim., to appear.
-
SIAM J. Control Optim.
-
-
Facchinei, F.1
Kanzow, C.2
-
17
-
-
0040847266
-
Interior point methods: Current status and future directions
-
R. M. FREUND AND S. MIZUNO, Interior point methods: Current status and future directions, OPTIMA Newsletter, 51 (1996), pp. 1-9.
-
(1996)
OPTIMA Newsletter
, vol.51
, pp. 1-9
-
-
Freund, R.M.1
Mizuno, S.2
-
18
-
-
0002579086
-
-
M. C. Ferris and J. S. Pang, eds., SIAM, Philadelphia
-
S. A. GABRIEL AND J. J. MORÉ, Smoothing of mixed complementarity problems, in Complementarity and Variational Problems: State of the Art, M. C. Ferris and J. S. Pang, eds., SIAM, Philadelphia, 1996, pp. 105-116.
-
(1996)
Smoothing of Mixed Complementarity Problems, in Complementarity and Variational Problems: State of the Art
, pp. 105-116
-
-
Gabriel, S.A.1
Moré, J.J.2
-
19
-
-
0344704362
-
Finite-dimensional variational inequality and nonlinear complementarity problem: A survey of theory, algorithms and applications
-
P. T. HARKER AND J. S. PANG, Finite-dimensional variational inequality and nonlinear complementarity problem: A survey of theory, algorithms and applications, Math. Programming, 48 (1990), pp. 339-357.
-
(1990)
Math. Programming
, vol.48
, pp. 339-357
-
-
Harker, P.T.1
Pang, J.S.2
-
20
-
-
0040252774
-
-
Discussion Paper Series 708, Institute of Policy and Planning Sciences, University of Tsukuba, Tsukuba, Japan, December
-
K. HOTTA AND A. YOSHISE, Global Convergence of a Class of Non-Interior-Point Algorithms Using Chen-Harker-Kanzow Functions for Nonlinear Complementarity Problems, Discussion Paper Series 708, Institute of Policy and Planning Sciences, University of Tsukuba, Tsukuba, Japan, December, 1996.
-
(1996)
Global Convergence of a Class of Non-interior-point Algorithms Using Chen-harker-kanzow Functions for Nonlinear Complementarity Problems
-
-
Hotta, K.1
Yoshise, A.2
-
21
-
-
0003639942
-
-
Report, Department of Mathematics, Universtiy of Melbourne, Parkville, Australia
-
H. JIANG, Smoothed Fischer-Burmeister Equation Methods for the Complementarity Problem, Report, Department of Mathematics, Universtiy of Melbourne, Parkville, Australia, 1997.
-
(1997)
Smoothed Fischer-burmeister Equation Methods for the Complementarity Problem
-
-
Jiang, H.1
-
22
-
-
0030517292
-
Some noninterior continuation methods for linear complementarity problems
-
C. KANSOW, Some noninterior continuation methods for linear complementarity problems, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 851-868.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 851-868
-
-
Kansow, C.1
-
23
-
-
0033418367
-
Jacobian smoothing methods for nonlinear complementarity problems
-
C. KANZOW, AND H. PIEPER, Jacobian smoothing methods for nonlinear complementarity problems, SIAM J. Optim., 9 (1999), pp. 342-373.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 342-373
-
-
Kanzow, C.1
Pieper, H.2
-
24
-
-
0007710807
-
A general framework of continuation methods for complementarity problems
-
M. KOJIMA, N. MEGIDDO, AND S. MIZUNO, A general framework of continuation methods for complementarity problems, Math. Oper. Res., 18 (1993), pp. 945-963.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 945-963
-
-
Kojima, M.1
Megiddo, N.2
Mizuno, S.3
-
25
-
-
0001217295
-
Homotopy continuation methods for nonlinear complementarity problems
-
M. KOJIMA, N. MEGIDDO, AND T. NOMA, Homotopy continuation methods for nonlinear complementarity problems, Math. Oper. Res., 16 (1991), pp. 754-774.
-
(1991)
Math. Oper. Res.
, vol.16
, pp. 754-774
-
-
Kojima, M.1
Megiddo, N.2
Noma, T.3
-
27
-
-
0003000071
-
Complementarity problems
-
R. Horst and P. Pardalos, eds., Kluwer, Boston
-
J. S. PANG, Complementarity problems, in Handbook of Global Optimization, R. Horst and P. Pardalos, eds., Kluwer, Boston 1995, pp. 271-338.
-
(1995)
Handbook of Global Optimization
, pp. 271-338
-
-
Pang, J.S.1
-
28
-
-
0001968166
-
-
Report, Chinese Academy of Sciences, Institute of Computational Mathematics and Scientific/Engineering Computing, Beijing, China
-
0-Functions, Report, Chinese Academy of Sciences, Institute of Computational Mathematics and Scientific/Engineering Computing, Beijing, China, 1997.
-
(1997)
0-functions
-
-
Qi, H.D.1
-
29
-
-
0000607524
-
Convergence analysis of some algorithms for solving nonsmooth equations
-
L. QI, Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res., 18 (1993), pp. 227-244.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 227-244
-
-
Qi, L.1
-
30
-
-
0029276590
-
A globally convergent successive approximation method for severely nonsmooth equations
-
L. QI AND X. CHEN, A globally convergent successive approximation method for severely nonsmooth equations, SIAM J. Control Optim., 33 (1995), pp. 402-418.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 402-418
-
-
Qi, L.1
Chen, X.2
-
31
-
-
0040847618
-
Globally Linearly, and Globally and Locally Superlinearly Convergent Versions of the Hotta-Yoshise Non-Interior Point Algorithm for Nonlinear Complementarity Problems
-
School of Mathematics, University of New South Wales, Sydney, Australia
-
L. QI AND D. SUN, Globally Linearly, and Globally and Locally Superlinearly Convergent Versions of the Hotta-Yoshise Non-Interior Point Algorithm for Nonlinear Complementarity Problems, Applied Mathematics Report, School of Mathematics, University of New South Wales, Sydney, Australia, 1997.
-
(1997)
Applied Mathematics Report
-
-
Qi, L.1
Sun, D.2
-
32
-
-
0002380706
-
A New Look at Smoothing Newton Methods for Nonlinear Complementarity Problems and Box Constrained Variational Inequalities
-
AMR 97/13, School of Mathematics, University of New South Wales, Sydney, Australia
-
L. QI, D. SUN, AND G. ZHOU, A New Look at Smoothing Newton Methods for Nonlinear Complementarity Problems and Box Constrained Variational Inequalities, Applied Mathematics Report, AMR 97/13, School of Mathematics, University of New South Wales, Sydney, Australia, 1997.
-
(1997)
Applied Mathematics Report
-
-
Qi, L.1
Sun, D.2
Zhou, G.3
-
33
-
-
0001393203
-
Global convergence of damped Newton's method for nonsmooth equations, via the path search
-
D. RALPH, Global convergence of damped Newton's method for nonsmooth equations, via the path search, Math. Oper. Res., 19 (1994), pp. 352-389.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 352-389
-
-
Ralph, D.1
-
34
-
-
0039052736
-
Implementation of continuation method for normal maps
-
H. SELLAMI AND S. M. ROBINSON, Implementation of continuation method for normal maps, Math. Programming, 76 (1997), pp. 563-578.
-
(1997)
Math. Programming
, vol.76
, pp. 563-578
-
-
Sellami, H.1
Robinson, S.M.2
-
35
-
-
0002125047
-
Algorithms for solving equations
-
Berkeley, CA, 1986, AMS, Providence, RI
-
S. SMALE, Algorithms for solving equations, in Proceedings of the International Congress of Mathematicians, Berkeley, CA, 1986, AMS, Providence, RI, 1987, pp. 172-195.
-
(1987)
Proceedings of the International Congress of Mathematicians
, pp. 172-195
-
-
Smale, S.1
-
36
-
-
84923725238
-
A regularization Newton method for solving nonlinear complementarity problems
-
to appear
-
D. SUN, A regularization Newton method for solving nonlinear complementarity problems, Appl. Math. Optim., to appear.
-
Appl. Math. Optim.
-
-
Sun, D.1
-
37
-
-
0031533899
-
An infeasible path-following method for monotone complementarity problems
-
P. TSENG, An infeasible path-following method for monotone complementarity problems, SIAM J. Optim., 7 (1997), pp. 386-402.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 386-402
-
-
Tseng, P.1
-
38
-
-
0000697391
-
An infeasible path-following method for monotone complementarity problems, smoothing functions for complementarity problems
-
M. Fukushima and L. Qi, eds., Kluwer Academic Publishers, Norwell, MA
-
P. TSENG, An infeasible path-following method for monotone complementarity problems, smoothing functions for complementarity problems, in Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima and L. Qi, eds., Kluwer Academic Publishers, Norwell, MA, 1998, pp. 381-404.
-
(1998)
Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
, pp. 381-404
-
-
Tseng, P.1
-
39
-
-
0039069320
-
-
Preprint, Department of Mathematics, University of Washington, Seattle
-
S. XU, The Global Linear Convergence of an Infeasible Non-Interior Path-Following Algorithm for Complementarity Problems with Uniform P-Functions, Preprint, Department of Mathematics, University of Washington, Seattle, 1996.
-
(1996)
The Global Linear Convergence of An Infeasible Non-interior Path-following Algorithm for Complementarity Problems with Uniform P-functions
-
-
Xu, S.1
-
41
-
-
0027803251
-
On quadratic and O(√NL) convergence of a predictor-corrector algorithm for LCP
-
Y. YE AND K. ANSTREICHER, On quadratic and O(√NL) convergence of a predictor-corrector algorithm for LCP, Math. Programming, 62 (1993), pp. 537-552.
-
(1993)
Math. Programming
, vol.62
, pp. 537-552
-
-
Ye, Y.1
Anstreicher, K.2
-
42
-
-
0002359182
-
A smoothing-out technique for min-max optimization
-
I. ZANG, A smoothing-out technique for min-max optimization, Math. Programming, 19 (1980), pp. 61-71.
-
(1980)
Math. Programming
, vol.19
, pp. 61-71
-
-
Zang, I.1
|