On the convergence of global methods in multiextremal optimization

Reiner Horst, Hoàng Tụy

Type: Article

Publication Date: 1987-08-01

Citations: 83

DOI: https://doi.org/10.1007/bf00939434

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Locations

Journal of Optimization Theory and Applications - View

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Works That Cite This (63)

Action	Title	Year	Authors
+	On convergence of "divide the best" global optimization algorithms	1998	Yaroslav D. Sergeyev
+	Calculating a minimal sphere containing a polytope defined by a system of linear inequalities	1994	Hiroshi Konno Yasutoshi Yajima Ayumi Ban
+	Part II. Future perspective on optimization	2004	Ignacio E. Grossmann Lorenz T. Biegler
+	On the convergence of adaptive partition algorithms in global optimization	1990	János D. Pintér
+	Convergence and restart in branch-and-bound algorithms for global optimization. Application to concave minimization and D.C. Optimization problems	1988	Hoàng Tụy Reiner Horst
+	Multidimensional bisection applied to global optimisation	1991	Graham R. Wood
+	Global optimization algorithms for linearly constrained indefinite quadratic problems	1991	Pãnos M. Pardalos
+	Concave minimization via conical partitions and polyhedral outer approximation	1991	Reiner Horst Nguyễn Văn Thoại Harold P. Benson
+	Deterministic methods in constrained global optimization: Some recent advances and new fields of application	1990	Reiner Horst
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Works Cited by This (8)

Action	Title	Year	Authors
+	Convergent Algorithms for Minimizing a Concave Function	1980	Nguyễn Văn Thoại Hoàng Tụy
+	Globally convergent methods for <i>n</i>-dimensional multiextremal optimization	1986	János D. Pintér
+	The cubic algorithm	1985	E.A. Galperin
+	An algorithm for nonconvex programming problems	1976	Reiner Horst
+	Coefficient estimation in a first-order nonlinear hyperbolic Cauchy problem	1986	Kevin A. Grasse Luther W. White
+	An algorithm for finding the absolute extremum of a function	1972	S.A. Piyavskii
+	An algorithm for finding the global maximum of a multimodal, multivariate function	1986	Regina Hunter Mladineo
+	A general class of branch-and-bound methods in global optimization with some new approaches for concave minimization	1986	Reiner Horst