On the convergence rate for a penalty function method of exponential type

Van Hien Nguyen, Jean Jacques Strodiot

Type: Article

Publication Date: 1979-04-01

Citations: 28

DOI: https://doi.org/10.1007/bf00933436

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Locations

Journal of Optimization Theory and Applications - View

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+	On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization	2005	Xiaoling Sun Duan Li K. I. M. McKinnon
+	Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems	2014	Mengwei Xu Jane J. Ye Liwei Zhang
+	Unified theory of augmented Lagrangian methods for constrained global optimization	2008	Changyu Wang Duan Li
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+	Newton-explicit group solution with Lagrangian multiplier approach for solving large-scale nonlinear constrained optimization problems	2024	Peng Cheng Jumat Sulaiman Khadizah Ghazali Majid Khan Majahar Ali Ming Ming Xu
+	Augmented non-quadratic penalty algorithms	2004	Jean‐Pierre Dussault
+	Lagrangian Multipliers Methods for Convex Programming	2008	Marc Teboulle
+	Lagrangian Multipliers Methods for Convex Programming	2001	Marc Teboulle
+	Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993	1995	D. Boukari Anthony V. Fiacco
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Works Cited by This (12)

Action	Title	Year	Authors
+	A New Result on Interpreting Lagrange Multipliers as Dual Variables	1971	F. J. Gould Stephen M Howe
+	Boundary properties of penalty functions for constrained minimization	1970	FA Freerk Lootsma
+	A new penalty function method for constrained minimization	1972	Barry W. Kort Dimitri P. Bertsekas
+ PDF Chat	Unconstrained Lagrangians in Nonlinear Programming	1975	O. L. Mangasarian
+	Nonlinear Programming: Sequential Unconstrained Minimization Techniques	1968	Anthony V. Fiacco Garth P. McCormick
+	Iterative determination of parameters for an exact penalty function	1975	Julie Hartman
+	Multiplier and gradient methods	1969	Magnus R. Hestenes
+	Iterative Solution of Nonlinear Equations in Several Variables	2000	J. M. Ortega Werner C. Rheinboldt
+ PDF Chat	A new algorithm for solution of resistive networks involving diodes	1976	Dimitri P. Bertsekas
+ PDF Chat	Nonlinear Programming--Sequential Unconstrained Minimization Techniques	1969	M. J. D. Powell