-
2
-
-
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
-
3
-
-
0003735415
-
-
Academic Press, New York
-
R. W. COTTLE, J.-S. PANG, AND R. E. STONE, The Linear Complementarity Problem, Academic Press, New York, 1992.
-
(1992)
The Linear Complementarity Problem
-
-
Cottle, R.W.1
Pang, J.-S.2
Stone, R.E.3
-
4
-
-
0004041275
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
J. E. DENNIS, JR. AND R. B. SCHNABEL, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, NJ, 1983.
-
(1983)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis J.E., Jr.1
Schnabel, R.B.2
-
5
-
-
0031542397
-
A new merit function for nonlinear complementarity problems and a related algorithm
-
to appear
-
F. FACCHINEI AND J. SOARES, A new merit function for nonlinear complementarity problems and a related algorithm, SIAM J. Optim., 7 (1997), to appear.
-
(1997)
SIAM J. Optim.
, vol.7
-
-
Facchinei, F.1
Soares, J.2
-
6
-
-
0003243526
-
Testing a new class of algorithms for nonlinear complementarity problems
-
F. Giannessi and A. Maugeri, eds., Plenum Press, New York
-
F. FACCHINEI AND J. SOARES, Testing a new class of algorithms for nonlinear complementarity problems, in Variational Inequalities and Network Equilibrium Problems, F. Giannessi and A. Maugeri, eds., Plenum Press, New York, 1995, pp. 69-83.
-
(1995)
Variational Inequalities and Network Equilibrium Problems
, pp. 69-83
-
-
Facchinei, F.1
Soares, J.2
-
7
-
-
0018543436
-
Computational complexity of LCPs associated with positive, definite matrices
-
Y. FATHI, Computational complexity of LCPs associated with positive, definite matrices, Math. Programming, 17 (1979), pp. 335-344.
-
(1979)
Math. Programming
, vol.17
, pp. 335-344
-
-
Fathi, Y.1
-
8
-
-
84948263182
-
A special Newton-type optimization method
-
A. FISCHER, A special Newton-type optimization method, Optimization, 24 (1992), pp. 269-284.
-
(1992)
Optimization
, vol.24
, pp. 269-284
-
-
Fischer, A.1
-
9
-
-
21844489033
-
A Newton-type method for positive semidefinite linear complementarity problems
-
_, A Newton-type method for positive semidefinite linear complementarity problems, J. Optim. Theory Appl., 80 (1995), pp. 585-608.
-
(1995)
J. Optim. Theory Appl.
, vol.80
, pp. 585-608
-
-
-
10
-
-
0039414896
-
On the local superlinear convergence of a Newton-type method for LCP under weak conditions
-
_, On the local superlinear convergence of a Newton-type method for LCP under weak conditions, Optimization Methods and Software, 6 (1995), pp. 83-107.
-
(1995)
Optimization Methods and Software
, vol.6
, pp. 83-107
-
-
-
11
-
-
0002132714
-
On an NCP-function and its use for the solution of complementarity problems
-
D.-Z. Du, L. Qi, and R. S. Womersley, eds., World Scientific Publishers, Singapore
-
_, On an NCP-function and its use for the solution of complementarity problems, in Recent Advances in Nonsmooth Optimization, D.-Z. Du, L. Qi, and R. S. Womersley, eds., World Scientific Publishers, Singapore, 1995, pp. 88-105.
-
(1995)
Recent Advances in Nonsmooth Optimization
, pp. 88-105
-
-
-
12
-
-
0040900696
-
Theoretical efficiency of a shifted-barrier-function algorithm for linear programming
-
R. M. FREUND, Theoretical efficiency of a shifted-barrier-function algorithm for linear programming, Linear Algebra Appl., 152 (1991), pp. 19-41.
-
(1991)
Linear Algebra Appl.
, vol.152
, pp. 19-41
-
-
Freund, R.M.1
-
13
-
-
0022766519
-
A nonmonotone line search technique for Newton's method
-
L. GRIPPO, F. LAMPARIELLO, AND S. LUCIDI, A nonmonotone line search technique for Newton's method, SIAM J. Numer. Anal., 23 (1986), pp. 707-716.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 707-716
-
-
Grippo, L.1
Lampariello, F.2
Lucidi, S.3
-
14
-
-
0001028609
-
A class of nonmonotone stabilization methods in unconstrained optimization
-
_, A class of nonmonotone stabilization methods in unconstrained optimization, Numer. Math., 59 (1991), pp. 779-805.
-
(1991)
Numer. Math.
, vol.59
, pp. 779-805
-
-
-
15
-
-
0009273388
-
Lectures on computation of equilibria with equation-based methods
-
Louvain-la-Neuve, Belgium
-
P. T. HARKER, Lectures on Computation of Equilibria with Equation-Based Methods, CORE Lecture Series, Louvain-la-Neuve, Belgium, 1993.
-
(1993)
CORE Lecture Series
-
-
Harker, P.T.1
-
16
-
-
0001546137
-
A damped newton method for the linear complementarity problem
-
E. L. Allgower and K. Georg, eds., American Mathematical Society, Providence, RI
-
P. T. HARKER AND J.-S. PANG, A damped Newton method for the linear complementarity problem, in Computational Solution of Nonlinear Systems of Equations, Lectures in Applied Mathematics, Vol. 26, E. L. Allgower and K. Georg, eds., American Mathematical Society, Providence, RI, 1990, pp. 265-284.
-
(1990)
Computational Solution of Nonlinear Systems of Equations, Lectures in Applied Mathematics
, vol.26
, pp. 265-284
-
-
Harker, P.T.1
Pang, J.-S.2
-
17
-
-
0000772810
-
Complementarity problems
-
Springer-Verlag, Berlin
-
G. ISAC, Complementarity Problems. Lecture Notes in Mathematics 1528, Springer-Verlag, Berlin, 1992.
-
(1992)
Lecture Notes in Mathematics
, vol.1528
-
-
Isac, G.1
-
18
-
-
0028712609
-
Some equation-based methods for the nonlinear complementarity problem
-
C. KANZOW, Some equation-based methods for the nonlinear complementarity problem, Optimization Methods and Software, 3 (1994), pp. 327-340.
-
(1994)
Optimization Methods and Software
, vol.3
, pp. 327-340
-
-
Kanzow, C.1
-
19
-
-
0030303836
-
Global convergence properties of some iterative methods for linear complementarity problems
-
_, Global convergence properties of some iterative methods for linear complementarity problems, SIAM J. Optim., 6 (1996), pp. 326-341.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 326-341
-
-
-
20
-
-
0345449354
-
-
Preprint 79, Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, February
-
_, Some Tools Allowing Interior-Point Methods to Become Noninterior, Preprint 79, Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, February 1994.
-
(1994)
Some Tools Allowing Interior-Point Methods to Become Noninterior
-
-
-
21
-
-
85033733386
-
-
Preprint 85. Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, August
-
_, Noninterior Continuation Methods for Mixed Linear Complementarity Problems, Preprint 85. Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, August 1994.
-
(1994)
Noninterior Continuation Methods for Mixed Linear Complementarity Problems
-
-
-
22
-
-
0029425016
-
A class of Newton-type methods for equality and inequality constrained optimization
-
C. KANZOW AND H. KLEINMICHEL, A class of Newton-type methods for equality and inequality constrained optimization, Optimization Methods and Software, 5 (1995), pp. 173-198.
-
(1995)
Optimization Methods and Software
, vol.5
, pp. 173-198
-
-
Kanzow, C.1
Kleinmichel, H.2
-
23
-
-
0001217295
-
Homotopy continuation methods for nonlinear complementarity problems
-
M. KOJIMA, N. MEGGIDO, 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
Meggido, N.2
Noma, T.3
-
24
-
-
0003212154
-
A unified approach to interior point algorithms for linear complementarity problems
-
Springer-Verlag, Berlin
-
M. KOJIMA, N. MEGGIDO, T. NOMA, AND A. YOSHISE, A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems, Lecture Notes in Computer Science 538, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Computer Science
, vol.538
-
-
Kojima, M.1
Meggido, N.2
Noma, T.3
Yoshise, A.4
-
25
-
-
0024303530
-
A new continuation method for complementarity problems with uniform P-functions
-
M. KOJIMA, S. MIZUNO, AND T. NOMA, A new continuation method for complementarity problems with uniform P-functions, Math. Programming, 43 (1989), pp. 107-113.
-
(1989)
Math. Programming
, vol.43
, pp. 107-113
-
-
Kojima, M.1
Mizuno, S.2
Noma, T.3
-
26
-
-
0001214560
-
Limiting behaviour of trajectories generated by a continuation method for monotone complementarity problems
-
_, Limiting behaviour of trajectories generated by a continuation method for monotone complementarity problems, Math. Oper. Res., 15 (1990), pp. 662-675.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 662-675
-
-
-
27
-
-
85033769937
-
Conditions for a projection-type error bound for the linear complementarity problem to be global
-
to appear
-
X.-D. LUO AND P. TSENG, Conditions for a projection-type error bound for the linear complementarity problem to be global, Linear Algebra Appl., to appear.
-
Linear Algebra Appl.
-
-
Luo, X.-D.1
Tseng, P.2
-
28
-
-
0002147441
-
Equivalence of the complementarity problem to a system of nonlinear equations
-
O. L. MANGASARIAN, Equivalence of the complementarity problem to a system of nonlinear equations, SIAM J. Appl. Math., 31 (1976), pp. 89-92.
-
(1976)
SIAM J. Appl. Math.
, vol.31
, pp. 89-92
-
-
Mangasarian, O.L.1
-
29
-
-
34249762648
-
New improved error bounds for the linear complementarity problem
-
O. L. MANGASARIAN AND J. REN, New improved error bounds for the linear complementarity problem, Math. Programming, 66 (1994), pp. 241-255.
-
(1994)
Math. Programming
, vol.66
, pp. 241-255
-
-
Mangasarian, O.L.1
Ren, J.2
-
30
-
-
0001961709
-
Pathways to the optimal set in linear programming
-
N. Meggido, ed., Springer-Verlag, New York
-
N. MEGGIDO, Pathways to the optimal set in linear programming, in Progress in Mathematical Programming. Interior Point and Related Methods, N. Meggido, ed., Springer-Verlag, New York, 1988.
-
(1988)
Progress in Mathematical Programming. Interior Point and Related Methods
-
-
Meggido, N.1
-
31
-
-
0003199684
-
Linear complementarity, linear and nonlinear programming
-
Heldermann-Verlag, Berlin
-
K. G. MURTY, Linear Complementarity, Linear and Nonlinear Programming, Sigma Series in Applied Mathematics 3, Heldermann-Verlag, Berlin, 1988.
-
(1988)
Sigma Series in Applied Mathematics
, vol.3
-
-
Murty, K.G.1
-
32
-
-
0001601094
-
Newton's method for B-differentiable equations
-
J.-S. PANG, Newton's method for B-differentiable equations, Math. Oper. Res., 15 (1990), pp. 311-341.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 311-341
-
-
Pang, J.-S.1
-
33
-
-
0026185912
-
A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
-
_, A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems, Math. Programming, 51 (1991), pp. 101-131.
-
(1991)
Math. Programming
, vol.51
, pp. 101-131
-
-
-
35
-
-
34249830808
-
Modified barrier functions (theory and methods)
-
R. POLYAK, Modified barrier functions (theory and methods), Math. Programming, 54 (1992), pp. 177-222.
-
(1992)
Math. Programming
, vol.54
, pp. 177-222
-
-
Polyak, R.1
-
36
-
-
0040900693
-
-
Technical Report AMR 94/5, School of Mathematics, University of New South Wales, Sydney, Australia, March revised November 1994
-
L. Qi AND H. JIANG, Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving These Equations, Technical Report AMR 94/5, School of Mathematics, University of New South Wales, Sydney, Australia, March 1994 (revised November 1994).
-
(1994)
Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving These Equations
-
-
Qi, L.1
Jiang, H.2
-
37
-
-
0039122554
-
The two faces of the linear complementarity problem
-
Fall
-
M. J. TODD, The two faces of the linear complementarity problem, SIAG/OPT Views-and-News, 5 (Fall 1994), pp. 3-5.
-
(1994)
SIAG/OPT Views-and-News
, vol.5
, pp. 3-5
-
-
Todd, M.J.1
-
38
-
-
0001019976
-
An assessment of nonmonotone linesearch techniques for unconstrained optimization
-
PH. L. TOINT, An assessment of nonmonotone linesearch techniques for unconstrained optimization, SIAM J. Sci. Comput., 17 (1996), pp. 561-578.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 561-578
-
-
Toint, Ph.L.1
-
39
-
-
0040167512
-
-
Report 94/24, Department of Mathematics, Facultés Universitaires ND de la Paix, Namur, Belgium, November
-
_, A Non-Monotone Trust-Region Algorithm for Nonlinear Optimization Subject to Convex Constraints, Report 94/24, Department of Mathematics, Facultés Universitaires ND de la Paix, Namur, Belgium, November 1994.
-
(1994)
A Non-Monotone Trust-Region Algorithm for Nonlinear Optimization Subject to Convex Constraints
-
-
-
40
-
-
0030536279
-
Growth behaviour of a class of merit functions for the nonlinear complementarity problem
-
P. TSENG, Growth behaviour of a class of merit functions for the nonlinear complementarity problem, J. Optim. Theory Appl., 89 (1996), pp. 17-37.
-
(1996)
J. Optim. Theory Appl.
, vol.89
, pp. 17-37
-
-
Tseng, P.1
|