摘要:

In order to extend the concept of a convex set to the subsets of nonlinear manifolds, the so-called relative convexity to a convex cone is defined. The relative convexity provides the possibility to generalize the concept of a convex function in such a manner that it can be used to formulate the criteria of global optimality for a class of nonconvex optimization problems.

ISSN:0323-3898    

DOI:10.1080/02331937908842538

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

An attempt to develop an axiomatics for a generalized convexity concept is made. The concept of a hyperplane is introduced axiomatically. A new concept of a generalized linearity is considered and some properties of optimization problems that are linear in this sense, are studies. These properties were made use of in literature in the process of solving certain class of optimization problems. The properties give us also a methodology for the construction of algorithms for the solving of some further optimization problems of his kind.

ISSN:0323-3898    

DOI:10.1080/02331937908842539

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

B. Andráspai:Introductory Graph Theory. Akadémiai Kiadó, Budapest 1977, 266 S., Ft 170.

ISSN:0323-3898    

DOI:10.1080/02331937908842540

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

For the case that the elements of anm×nmatrix withm<nare independent discrete uniformly distributed random variables with nonnegative realizations statements on the probability that some choice ofmcolumn vectors forms a basis are given. Moreover, the relative frequency of bases in the constraints of transportation problems is studied. Results obtained permit conclusions on the applicability of such programming methods for problems with linear constraints where every quadratic submatrix of highest order is assumed to be regular.

ISSN:0323-3898    

DOI:10.1080/02331937908842541

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

A. Auslender (ed.); Conver Analysis and Its Applications. Proceedings of a Conference Held at Murat-leQuaire March 1976. Lecture Notes in Economics and Mathematical Systems 144. Springer-Verlag, Berlin-Heidelberg-New York 1977, 219 s., DM 24, 80.

ISSN:0323-3898    

DOI:10.1080/02331937908842542

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

In this paper the behaviour of descent methods for minimization of functionals, which are in effect strong and bounded convex except in the neighbourhood of the singularity of the gradient is investigated. Sufficient and necessary conditions of convergence and assertions about the convergence speed in the neighbourhood of the singularity are stated independence of parameters of the descent methods. In general, in the “drainage area” of the minimum the convergence of the Kuhn-Algorithm for solving the Fermat-Problem may be proved with this means.

ISSN:0323-3898    

DOI:10.1080/02331937908842543

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

H.A. Eiselt und H. Von Frajer:Operations Research Handbook. Standard Algorithms and Methods with Examples, W. de Gruyter, Berlin, New York 1977, 398 Seiten, DM 74.

ISSN:0323-3898    

DOI:10.1080/02331937908842544

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

The problem of finding a local minimum:of a functionF(x),xßRnis studied. The paper deals with some member of Rastrigin's random search, family and with the method of random search with reversals. A new practical Adaptive Step Size Random Search, with Reversals (ASSRSB) is.proposed arid analyzed* Computational experience is also reported. ASSRSR is compareD with the adaptive step size random search algorithms of Schumer-steiglitz And White-day, and with the Newton-Raphson and Fletcher-Powell, methods.

ISSN:0323-3898    

DOI:10.1080/02331937908842545

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

J.Hoffmann-Jorgensen, T.M. Liggett, J. Neveu:Éccole d’Été de Probailités de Saint-Flour VI-1976. Edité par P.L. Hennequin. Lecture Notes in Mathematics 598, Springer Verlag, Berlin-Heidelberg-New York 1977, 447 S., DM 37.

ISSN:0323-3898    

DOI:10.1080/02331937908842546

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

This paper deals with the application of discrete dynamic optimization to problems with a fixed initial and final state. The basic concept of Nicholsok demands an interpretation of the problem like an N-stage decision process with monotonous separability, unique stage transformation and unique inverse stage transformation.

ISSN:0323-3898    

DOI:10.1080/02331937908842547

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor