摘要:

This paper deals with necessary conditions for optimization problems with infinitely many inequality constraints assuming various differentiability conditions. By introducing a second topologyNon a topological vector space we define generalized versions of differentiability and tangential cones. Different choices ofNlead to Gâteaux-, Hadamaed- and weak differentiability with corresponding tangential cones. The general concept is used to derive necessary conditions for local optimal points in form of inequalities and generalized multiplier rules, Special versions of these theorems are obtained for different differentiability assumptions by choosing properly. An application to approximation theory is given.

ISSN:0323-3898    

DOI:10.1080/02331937808842516

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

K.Bauknecht, J.Kohlas, C.A.Zehnder: Simulationstechnik. Springer-Verlag, Berlin-Heidelberg-New York 1976, 15 Abb., V+216 S.,DM 24,50.

ISSN:0323-3898    

DOI:10.1080/02331937808842517

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

In earlier results by Sposito and David, Kuhn-Tucker type duality associated with a certain saddlepoint problem was established over convex cone domains (not necessarily polyhedral) without differentiability. Recent variants have established necessary optimality conditions of the Fritz John and Kuhn-Tucker type for programming problems over" convex polyhedral cone domains which require differentiability assumptions. This paper extends the present results in the literature to programming problems over arbitrary convex cone domains (not necessarily polyhedral).

ISSN:0323-3898    

DOI:10.1080/02331937808842518

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

Yau-Chuen Wong, Kung-Fu No: Partially Ordered Topological Vector Spaces. Oxford Mathematical Monographs, Oxford University Press, London W.I, 1973, XII, 217 p.,£7.

ISSN:0323-3898    

DOI:10.1080/02331937808842519

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

In this paper we study the relation between the general concept for an optimal solution for stochastic programming problems with a random objective function-the concept of an £-efficient solution-and the associated parametric problem, We show that it is possible under certain assumptions to obtain some or even all £-efficient solutions of the stochastic problem by solving the parametric problem with respect to a certain parameter set.

ISSN:0323-3898    

DOI:10.1080/02331937808842520

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

D.Stoyan: Qualitative Elgenschaften und Abchätzungen stochastischer Modelle. R.Oldenburg Verlag Müchen-Wien 1977, X,198 S.,DM 44.

ISSN:0323-3898    

DOI:10.1080/02331937808842521

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

This paper shows how to combine primal and dual decomposition procedures where both a vertical and a horizontal decomposition approach can be applied. The motivation for using a mixed procedure is that it improves the possibility of efficiently initializing the procedure, which has been shown to be crucial for the convergence of the procedures, Additionally mixed procedures have important interpretations as mixed price and budget planning procedures for decentralized organizations.

ISSN:0323-3898    

DOI:10.1080/02331937808842522

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

A minimization method is described for convex subdifferentiable functions and the convergence proof is given. The method is based on an extension of the subdifferential in such a way that this point to set map is continuous. Different methods follow for a special choice of the used norm and the used extension of the subdifferential. For certain classes of functions the method is explained in detail and corresponding realisations of the extensions of the subdiffential are given.

ISSN:0323-3898    

DOI:10.1080/02331937808842523

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

P.R.Krishnaiah (ed.): Applications of Statistics. Proceedings of the Symposium Held at Wright State University, Dayton, Ohin, 14-18 June 1976. North-Holland Publishing Company, Amsterdam-New York-Oxford 1977, 543 S., US $ 44.95.

ISSN:0323-3898    

DOI:10.1080/02331937808842524

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor

摘要:

We discuss superlinearly convergent algorithms for unconstrained optimization problems. Two feneral algorithms are presented and we outline a theory of convergence for those algorithms.

ISSN:0323-3898    

DOI:10.1080/02331937808842525

出版商:Akademic-Verlag    

年代:1978

数据来源: Taylor