-
2
-
-
0000728112
-
Implementation of interior point methods for large scale linear programming
-
T. Terlaky (Ed.), Kluwer Academic Publishers, Dordrecht, Netherlands
-
E.D. Andersen, J. Gondzio, Cs. Mészâros, X Xu, Implementation of interior point methods for large scale linear programming, in: T. Terlaky (Ed.), Interior Point Methods of Mathematical Programming, Kluwer Academic Publishers, Dordrecht, Netherlands, 1996, pp. 189-252.
-
(1996)
Interior Point Methods of Mathematical Programming
, pp. 189-252
-
-
Andersen, E.D.1
Gondzio, J.2
Mészâros, Cs.3
Xu, X.4
-
3
-
-
0001856557
-
Theory of linear programming
-
H.W. Kuhn, A.W. Tucker (Eds.), Princeton University Press, Princeton, NJ
-
A.J. Goldman and A.W. Tucker, Theory of linear programming, in: H.W. Kuhn, A.W. Tucker (Eds.), Linear Inequalities and Related Systems, Annals of Mathematical Studies, vol. 38, Princeton University Press, Princeton, NJ, 1956, pp. 53-97.
-
(1956)
Linear Inequalities and Related Systems, Annals of Mathematical Studies
, vol.38
, pp. 53-97
-
-
Goldman, A.J.1
Tucker, A.W.2
-
4
-
-
0003459683
-
-
PhD thesis, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands
-
E. de Klerk, Interior point methods for semidefinite programming. PhD thesis, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands, 1997.
-
(1997)
Interior Point Methods for Semidefinite Programming
-
-
De Klerk, E.1
-
5
-
-
0001624064
-
Infeasible-start semidefinite programming algorithms via self-dual embeddings
-
P.M. Pardalos, H. Wolkowicz (Eds.), Fields Institute Communications Series, American Mathematical Society
-
E. de Klerk, C. Roos, and T. Terlaky, Infeasible-start semidefinite programming algorithms via self-dual embeddings, in: P.M. Pardalos, H. Wolkowicz (Eds.), Topics in Semidefinite and Interior-Point Methods, Fields Institute Communications Series, American Mathematical Society, 1998, pp. 215-236.
-
(1998)
Topics in Semidefinite and Interior-Point Methods
, pp. 215-236
-
-
De Klerk, E.1
Roos, C.2
Terlaky, T.3
-
6
-
-
0000921195
-
Initialization in semidefinite programming via a self-dual skew-symmetric embedding
-
E. de Klerk, C. Roos, T. Terlaky, Initialization in semidefinite programming via a self-dual skew-symmetric embedding, Operations Research Letters 20 (1997) 213-221.
-
(1997)
Operations Research Letters
, vol.20
, pp. 213-221
-
-
De Klerk, E.1
Roos, C.2
Terlaky, T.3
-
7
-
-
0039906918
-
On primal-dual path-following algorithms for semidefinite programming
-
F. Gianessi, S. Komlósi, T. Rapcsák (Eds.), Kluwer Academic Publishers, Dordrecht, Netherlands
-
E. de Klerk, C. Roos, T. Terlaky, On primal-dual path-following algorithms for semidefinite programming, in: F. Gianessi, S. Komlósi, T. Rapcsák (Eds.), New Trends in Mathematical Programming, Kluwer Academic Publishers, Dordrecht, Netherlands, 1998, pp. 137-157.
-
(1998)
New Trends in Mathematical Programming
, pp. 137-157
-
-
De Klerk, E.1
Roos, C.2
Terlaky, T.3
-
8
-
-
0010817129
-
-
Technical Report 95-128, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands
-
E. de Klerk, C. Roos, T. Terlaky, Semi-definite problems in truss topology optimization, Technical Report 95-128, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands, 1995.
-
(1995)
Semi-definite Problems in Truss Topology Optimization
-
-
De Klerk, E.1
Roos, C.2
Terlaky, T.3
-
9
-
-
0003451149
-
-
Wiley, New York
-
A.V. Fiacco, G.P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968. Reprint: SIAM Classics in Applied Mathematics, vol. 4, SIAM Publications, Philadelphia, PA, pp. 19104-2688, 1990.
-
(1968)
Nonlinear Programming: Sequential Unconstrained Minimization Techniques
-
-
Fiacco, A.V.1
McCormick, G.P.2
-
10
-
-
0012126939
-
-
SIAM Publications, Philadelphia, PA
-
A.V. Fiacco, G.P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968. Reprint: SIAM Classics in Applied Mathematics, vol. 4, SIAM Publications, Philadelphia, PA, pp. 19104-2688, 1990.
-
(1990)
SIAM Classics in Applied Mathematics
, vol.4
, pp. 19104-22688
-
-
-
12
-
-
0003310912
-
Interior Point Approach to Linear, Quadratic and Convex Programming
-
Kluwer Academic Publishers, Dordrecht, Netherlands
-
D. den Hertog, Interior Point Approach to Linear, Quadratic and Convex Programming, Mathematics and its Applications, vol. 277, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994.
-
(1994)
Mathematics and Its Applications
, vol.277
-
-
Den Hertog, D.1
-
13
-
-
0346898360
-
Interior Point Techniques in Optimization Complexity, Sensitivity and Algorithms
-
Kluwer Academic Publishers, Dordrecht, Netherlands
-
B. Jansen, Interior Point Techniques in Optimization Complexity, Sensitivity and Algorithms, Applied Optimization, vol. 6, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994.
-
(1994)
Applied Optimization
, vol.6
-
-
Jansen, B.1
-
14
-
-
0041689097
-
The theory of linear programming: Skew symmetric self-dual problems and the central path
-
B. Jansen, C. Roos, T. Terlaky, The theory of linear programming: Skew symmetric self-dual problems and the central path, Optimization 29 (1994) 225-233.
-
(1994)
Optimization
, vol.29
, pp. 225-233
-
-
Jansen, B.1
Roos, C.2
Terlaky, T.3
-
15
-
-
0031198490
-
Sensitivity analysis in linear programming: Just be careful!
-
B. Jansen, J.J. de Jong, C. Roos, T. Terlaky, Sensitivity analysis in linear programming: just be careful!, European Journal of Operational Research 101 (1) (1997) 15-28.
-
(1997)
European Journal of Operational Research
, vol.101
, Issue.1
, pp. 15-28
-
-
Jansen, B.1
De Jong, J.J.2
Roos, C.3
Terlaky, T.4
-
16
-
-
51249181779
-
A new polynomial-time algorithm for linear programming
-
N.K. Karmarkar, A new polynomial-time algorithm for linear programming, Combinatorica 4 (1984) 373-395.
-
(1984)
Combinatorica
, vol.4
, pp. 373-395
-
-
Karmarkar, N.K.1
-
17
-
-
0002431411
-
Animplementation of a primal-dual interior point method for linear programming
-
K.A. McShane, C.L. Monma, D.F. Shanno, Animplementation of a primal-dual interior point method for linear programming, ORSA Journal on Computing 1 (1989) 70-83.
-
(1989)
ORSA Journal on Computing
, vol.1
, pp. 70-83
-
-
McShane, K.A.1
Monma, C.L.2
Shanno, D.F.3
-
18
-
-
0001961709
-
Pathways to the optimal set inlinear programming
-
N. Megiddo (Ed.), Springer, New York
-
N. Megiddo. Pathways to the optimal set inlinear programming, in: N. Megiddo (Ed.), Progress in Mathematical Programming: Interior Point and Related Methods, Springer, New York, 1989, pp. 131-158. Identical version in: Proceedings of the Sixth Mathematical Programming Symposium of Japan, Nagoya, Japan, 1986, pp. 1-35.
-
(1989)
Progress in Mathematical Programming: Interior Point and Related Methods
, pp. 131-158
-
-
Megiddo, N.1
-
19
-
-
0346267935
-
-
Nagoya, Japan
-
N. Megiddo. Pathways to the optimal set inlinear programming, in: N. Megiddo (Ed.), Progress in Mathematical Programming: Interior Point and Related Methods, Springer, New York, 1989, pp. 131-158. Identical version in: Proceedings of the Sixth Mathematical Programming Symposium of Japan, Nagoya, Japan, 1986, pp. 1-35.
-
(1986)
Proceedings of the Sixth Mathematical Programming Symposium of Japan
, pp. 1-35
-
-
-
20
-
-
0000561116
-
On the implementation of a (primal-dual) interior point method
-
S. Mehrotra, On the implementation of a (primal-dual) interior point method, SIAM Journal on Optimization 2 (4) (1992) 575-601.
-
(1992)
SIAM Journal on Optimization
, vol.2
, Issue.4
, pp. 575-601
-
-
Mehrotra, S.1
-
21
-
-
34250077538
-
On finding the optimal facet of linear programs
-
S. Mehrotra, Y. Ye, On finding the optimal facet of linear programs, Mathematical Programming 62 (1993) 497-515.
-
(1993)
Mathematical Programming
, vol.62
, pp. 497-515
-
-
Mehrotra, S.1
Ye, Y.2
-
22
-
-
0002760301
-
A general parametric analysis approach and its implications to sensitivity analysis in interior point methods
-
R.D.C. Monteiro, S. Mehrotra, A general parametric analysis approach and its implications to sensitivity analysis in interior point methods, Mathematical Programming 72 (1996) 65-82.
-
(1996)
Mathematical Programming
, vol.72
, pp. 65-82
-
-
Monteiro, R.D.C.1
Mehrotra, S.2
-
23
-
-
0003630894
-
-
SIAM Publications, SIAM, Philadelphia, PA
-
Y.E. Nesterov, A.S. Nemirovski, Interior Point Polynomial Methods in Convex Programming: Theory and Algorithms, SIAM Publications, SIAM, Philadelphia, PA, 1993.
-
(1993)
Interior Point Polynomial Methods in Convex Programming: Theory and Algorithms
-
-
Nesterov, Y.E.1
Nemirovski, A.S.2
-
24
-
-
0031073753
-
Self-scaled barriers and interior-point methods for convex programming
-
Y.E. Nesterov, M.J. Todd, Self-scaled barriers and interior-point methods for convex programming, Mathematics of Operations Research 22 (1) (1997) 1-42.
-
(1997)
Mathematics of Operations Research
, vol.22
, Issue.1
, pp. 1-42
-
-
Nesterov, Y.E.1
Todd, M.J.2
-
25
-
-
0007159786
-
-
Technical Report 98-05, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands, Annals of Operations Research (to appear)
-
J. Peng, C. Roos, T. Terlaky, New complexity analysis of the primal-dual Newton method for linear optimization, Technical Report 98-05, Faculty of Technical Mathematics and Computer Science, Delft University of Technology, Delft, Netherlands, 1998, Annals of Operations Research (to appear).
-
(1998)
New Complexity Analysis of the Primal-dual Newton Method for Linear Optimization
-
-
Peng, J.1
Roos, C.2
Terlaky, T.3
-
26
-
-
0039545608
-
Homogeneous interior point algorithms for semidefinite programming
-
Department of Mathematics, The University of Iowa, Iowa City, IA
-
F.A. Potra, R. Sheng, Homogeneous interior point algorithms for semidefinite programming, Reports on Computational Mathematics 82, Department of Mathematics, The University of Iowa, Iowa City, IA, 1995.
-
(1995)
Reports on Computational Mathematics
, vol.82
-
-
Potra, F.A.1
Sheng, R.2
-
27
-
-
0003495411
-
Theory and Algorithms for Linear Optimization
-
Wiley, Chichester, UK
-
C. Roos, T. Terlaky, J.-Ph.Vial, Theory and Algorithms for Linear Optimization, An Interior Approach, Wiley, Chichester, UK, 1997.
-
(1997)
An Interior Approach
-
-
Roos, C.1
Terlaky, T.2
Vial, J.-Ph.3
-
28
-
-
0001292818
-
An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming
-
A. Prékopa, J. Szelezsán, B. Strazicky, (Eds.), Budapest, Hungary, September
-
G. Sonnevend, An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming, in: A. Prékopa, J. Szelezsán, B. Strazicky, (Eds.), System Modeling and Optimization: Proceedings of the 12th IFIP-Conference, Budapest, Hungary, September 1985, Lecture Notes in Control and Information Sciences, vol. 84, Springer, Berlin, 1986, pp. 866-876.
-
(1985)
System Modeling and Optimization: Proceedings of the 12th IFIP-Conference
-
-
Sonnevend, G.1
-
29
-
-
0004050029
-
-
Springer, Berlin
-
G. Sonnevend, An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming, in: A. Prékopa, J. Szelezsán, B. Strazicky, (Eds.), System Modeling and Optimization: Proceedings of the 12th IFIP-Conference, Budapest, Hungary, September 1985, Lecture Notes in Control and Information Sciences, vol. 84, Springer, Berlin, 1986, pp. 866-876.
-
(1986)
Lecture Notes in Control and Information Sciences
, vol.84
, pp. 866-876
-
-
-
30
-
-
0003459685
-
-
PhD thesis, Tinbergen Institute Research Series, Erasmus University, Rotterdam, Netherlands
-
J.F. Sturm, Primal-dual interior point approach to semi-definite programming, PhD thesis, Tinbergen Institute Research Series, Erasmus University, Rotterdam, Netherlands, 1997.
-
(1997)
Primal-dual Interior Point Approach to Semi-definite Programming
-
-
Sturm, J.F.1
-
31
-
-
0346898359
-
Interior Point Methods of Mathematical Programming
-
Kluwer Academic Publishers, Dordrecht, Netherlands
-
T. Terlaky (Ed.), Interior Point Methods of Mathematical Programming, Applied Optimization, vol. 5, Kluwer Academic Publishers, Dordrecht, Netherlands, 1996.
-
(1996)
Applied Optimization
, vol.5
-
-
Terlaky, T.1
-
32
-
-
0001768599
-
Dual systems of homogeneous linear relations
-
H.W. Kuhn, A.W. Tucker (Eds.), Princeton University Press, Princeton, NJ
-
A.W. Tucker. Dual systems of homogeneous linear relations, in: H.W. Kuhn, A.W. Tucker (Eds.), Linear Inequalities and Related Systems, Annals of Mathematical Studies, vol. 38, Princeton University Press, Princeton, NJ, 1956, pp. 3-18.
-
(1956)
Linear Inequalities and Related Systems, Annals of Mathematical Studies
, vol.38
, pp. 3-18
-
-
Tucker, A.W.1
-
35
-
-
21344457406
-
-
Technical Report, Department of Management Studies, The University of Iowa, Iowa City, IA
-
X. Xu, P.-F. Hung, Y. Ye, A simplified homogeneous and self-dual linear programming algorithm and its implementation, Technical Report, Department of Management Studies, The University of Iowa, Iowa City, IA, 1993.
-
(1993)
A Simplified Homogeneous and Self-dual Linear Programming Algorithm and Its Implementation
-
-
Xu, X.1
Hung, P.-F.2
Ye, Y.3
-
36
-
-
30244459714
-
On the finite convergence of interior-point algorithms for linear programming
-
Y. Ye, On the finite convergence of interior-point algorithms for linear programming, Mathematical Programming 57 (1992) 325-335.
-
(1992)
Mathematical Programming
, vol.57
, pp. 325-335
-
-
Ye, Y.1
-
37
-
-
0004212716
-
Interior Point Algorithms
-
Wiley, Chichester, UK
-
Y. Ye, Interior Point Algorithms, Theory and Analysis, Wiley, Chichester, UK, 1997.
-
(1997)
Theory and Analysis
-
-
Ye, Y.1
-
38
-
-
0003058678
-
An O(√nL)-iteration homogeneous and self-dual linear programming algorithm
-
Y. Ye, M.J. Todd, S. Mizuno, An O(√nL)-iteration homogeneous and self-dual linear programming algorithm, Mathematics of Operations Research 19 (1994) 53-67.
-
(1994)
Mathematics of Operations Research
, vol.19
, pp. 53-67
-
-
Ye, Y.1
Todd, M.J.2
Mizuno, S.3
|