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Error bounds in mathematical programming
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Cites
Bertsekas, D. P. (1997) · Journal of the Operational Research Society · doi:10.1038/sj.jors.2600425 · Cited by 11,726
Rockafellar, R. T. (1970) · Princeton University Press eBooks · doi:10.1515/9781400873173 · Cited by 10,801
Optimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
Iterative Solution of Nonlinear Equations in Several Variables
Ortega, J. M., & Rheinboldt, W. C. (2000) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719468 · Cited by 6,860
Iterative Solution of Nonlinear Equations in Several Variables
I., E., Ortega, J. M., & Rheinboldt, W. C. (1971) · Mathematics of Computation · doi:10.2307/2004942 · Cited by 4,408
The Linear Complementarity Problem
Cottle, R. W., Pang, J.-S., & Stone, R. E. (2009) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719000 · Cited by 2,788
Self-citationMathematical Programs with Equilibrium Constraints
Luo, Z.-Q., Pang, J.-S., & Ralph, D. (1996) · Cambridge University Press eBooks · doi:10.1017/cbo9780511983658 · Cited by 1,963
Self-citationHarker, P. T., & Pang, J.-S. (1990) · Mathematical Programming · doi:10.1007/bf01582255 · Cited by 1,817
Self-citationOn Projection Algorithms for Solving Convex Feasibility Problems
Bauschke, H. H., & Borwein, J. M. (1996) · SIAM Review · doi:10.1137/s0036144593251710 · Cited by 1,654
The extragradient method for finding saddle points and other problems
Korpelevich, G. M. (1976) · Medical Entomology and Zoology · Cited by 1,607
Graham, R., Grötschel, M., & Lovász, L. (1995) · Medical Entomology and Zoology · Cited by 1,526
Engineering and Economic Applications of Complementarity Problems
Ferris, M. C., & Pang, J. S. (1997) · SIAM Review · doi:10.1137/s0036144595285963 · Cited by 1,081
Self-citationStrongly Regular Generalized Equations
Robinson, S. M. (1980) · Mathematics of Operations Research · doi:10.1287/moor.5.1.43 · Cited by 968
A special newton-type optimization method
Fischer, A. (1992) · Optimization · doi:10.1080/02331939208843795 · Cited by 762
On the Convergence of the Proximal Point Algorithm for Convex Minimization
Güler, O. (1991) · SIAM Journal on Control and Optimization · doi:10.1137/0329022 · Cited by 681
Semianalytic and subanalytic sets
Bierstone, E., & Milman, P. D. (1988) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02699126 · Cited by 671
Non-Linear Programming Via Penalty Functions
Zangwill, W. I. (1967) · Management Science · doi:10.1287/mnsc.13.5.344 · Cited by 511
On the convergence of the coordinate descent method for convex differentiable minimization
Luo, Z. Q., & Tseng, P. (1992) · Journal of Optimization Theory and Applications · doi:10.1007/bf00939948 · Cited by 502
Smith, D. K., & Bertsekas, D. P. (1997) · The Journal of the Operational Research Society · doi:10.2307/3010437 · Cited by 474
Error bounds and convergence analysis of feasible descent methods: a general approach
Luo, Z.-Q., & Tseng, P. (1993) · Annals of Operations Research · doi:10.1007/bf02096261 · Cited by 420
Veinott, A. F., & Abadie, J. (1968) · Journal of the American Statistical Association · doi:10.2307/2283909 · Cited by 382
Projection methods for variational inequalities with application to the traffic assignment problem
Bertsekas, D. P., & Gafni, E. M. (1982) · Mathematical Programming Studies · doi:10.1007/bfb0120965 · Cited by 333
Asymptotic enumeration methods
Odlyzko, A. M. (1996) · The MIT Press eBooks · Cited by 303
Sur le problème de la division
Łojasiewicz, S. (1959) · Studia Mathematica · doi:10.4064/sm-18-1-87-136 · Cited by 300
Normal Maps Induced by Linear Transformations
Robinson, S. M. (1992) · Mathematics of Operations Research · doi:10.1287/moor.17.3.691 · Cited by 269
Exact Penalty Functions in Constrained Optimization
Pillo, G. D., & Grippo, L. (1989) · SIAM Journal on Control and Optimization · doi:10.1137/0327068 · Cited by 256
On the division of distributions by polynomials
Hörmander, L. (1958) · Arkiv för matematik · doi:10.1007/bf02589517 · Cited by 251
NE/SQP: A robust algorithm for the nonlinear complementarity problem
Pang, J., & Gabriel, S. A. (1993) · Mathematical Programming · doi:10.1007/bf01580617 · Cited by 211
Self-citationOptimisation : méthodes numériques
Auslender, A. (1976) · Masson eBooks · Cited by 210
Nonlinear complementarity as unconstrained and constrained minimization
Mangasarian, O. L., & Solodov, M. V. (1993) · Mathematical Programming · doi:10.1007/bf01585171 · Cited by 204
On linear convergence of iterative methods for the variational inequality problem
Tseng, P. (1995) · Journal of Computational and Applied Mathematics · doi:10.1016/0377-0427(94)00094-h · Cited by 195
On the Linear Convergence of Descent Methods for Convex Essentially Smooth Minimization
Luo, Z.-Q., & Tseng, P. (1992) · SIAM Journal on Control and Optimization · doi:10.1137/0330025 · Cited by 190
Asymptotic Convergence Analysis of the Proximal Point Algorithm
Luque, F. J. (1984) · SIAM Journal on Control and Optimization · doi:10.1137/0322019 · Cited by 164
Advances in Optimization and Parallel Computing
Pardalos, P. M. (1992) · Elsevier eBooks · Cited by 146
Bassein, R. S. (1989) · American Mathematical Monthly · doi:10.1080/00029890.1989.11972271 · Cited by 139
Finite termination of the proximal point algorithm
Ferris, M. C. (1991) · Mathematical Programming · doi:10.1007/bf01594944 · Cited by 135
The gap function of a convex program
Hearn, D. W. (1982) · Operations Research Letters · doi:10.1016/0167-6377(82)90049-9 · Cited by 130
Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
Luo, Z.-Q. T., Pang, J., Ralph, D., & Wu, S. (1996) · Mathematical Programming · doi:10.1007/bf02592205 · Cited by 113
Self-citationCombined Primal–Dual and Penalty Methods for Convex Programming
Kort, B., & Bertsekas, D. P. (1976) · SIAM Journal on Control and Optimization · doi:10.1137/0314020 · Cited by 95
A Condition Number for Differentiable Convex Inequalities
Mangasarian, O. L. (1985) · Mathematics of Operations Research · doi:10.1287/moor.10.2.175 · Cited by 79
On the Convergence Rate of Dual Ascent Methods for Linearly Constrained Convex Minimization
Luo, Z.-Q. T., & Tseng, P. (1993) · Mathematics of Operations Research · doi:10.1287/moor.18.4.846 · Cited by 74
Error Bounds for Piecewise Convex Quadratic Programs and Applications
Li, W. (1995) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012993243022 · Cited by 70
On the Rate of Convergence of a Partially Asynchronous Gradient Projection Algorithm
Tseng, P. (1991) · SIAM Journal on Optimization · doi:10.1137/0801036 · Cited by 69
Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993
Boukari, D., & Fiacco, A. V. (1995) · Optimization · doi:10.1080/02331939508844053 · Cited by 69
Partial Proximal Minimization Algorithms for Convex Pprogramming
Bertsekas, D. P., & Tseng, P. (1994) · SIAM Journal on Optimization · doi:10.1137/0804031 · Cited by 41
Recent Trends in Optimization Theory and Applications
Agarwal, R. P. (1995) · WORLD SCIENTIFIC eBooks · doi:10.1142/2862 · Cited by 33
Penalty functions in subanalytic optimization
Dedieu, J. P. (1992) · Optimization · doi:10.1080/02331939208843840 · Cited by 23
Metadata
- Authors
- Pang, J.-S.
- Venue
- Mathematical Programming
- Published
- 1997-10
- Volume
- 79
- Issue
- 1-3
- Pages
- 299-332
- ISSN
- 0025-5610 (ISSN-L)
- 1436-4646
- OpenAlex
- W2082451773
- Cited by
- 441
- References
- 47
- FWCI
- 13.67
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.