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A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
Open accessAbstract
The global and local convergence properties of a class of augmented Lagrangian methods for solving nonlinear programming problems are considered. In such methods, simple bound constraints are treated separately from more general constraints and the stopping rules for the inner minimization algorithm have this in mind. Global convergence is proved, and it is established that a potentially troublesome penalty parameter is bounded away from zero.
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Cites
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
Constrained Optimization and Lagrange Multiplier Methods
(1982) · Elsevier eBooks · doi:10.1016/c2013-0-10366-2 · Cited by 4,016
Multiplier and gradient methods
Hestenes, M. R. (1969) · Journal of Optimization Theory and Applications · doi:10.1007/bf00927673 · Cited by 2,446
Introduction to linear and nonlinear programming
Polak, E. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100535 · Cited by 2,100
Introduction to linear and nonlinear programming
Luenberger, D. G. (1973) · Medical Entomology and Zoology · Cited by 1,915
Dembo, R. S., Eisenstat, S. C., & Steihaug, T. (1982) · SIAM Journal on Numerical Analysis · doi:10.1137/0719025 · Cited by 1,539
Nonlinear Programming: Analysis and Methods
Avriel, M. (1976) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,339
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
Rockafellar, R. T. (1976) · Mathematics of Operations Research · doi:10.1287/moor.1.2.97 · Cited by 1,175
The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
Steihaug, T. (1983) · SIAM Journal on Numerical Analysis · doi:10.1137/0720042 · Cited by 824
Recent Developments in Algorithms and Software for Trust Region Methods
Moré, J. J. (1983) · Mathematical Programming The State of the Art · doi:10.1007/978-3-642-68874-4_11 · Cited by 359
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Metadata
- Authors
- Conn, A. R., Gould, N. I. M., & Toint, P.
- Venue
- SIAM Journal on Numerical Analysis
- Published
- 1991-04
- Volume
- 28
- Issue
- 2
- Pages
- 545-572
- ISSN
- 0036-1429 (ISSN-L)
- 1095-7170
- OpenAlex
- W2042613327
- Cited by
- 873
- References
- 17
- FWCI
- 4.60
- Type
- journal article
- Language
- en
- Open access
- green
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