摘要:

The idea of duality is now well established in the theory of concave programming. The basis of this duality is the concave conjugate transform. This has been exemplified in the development of generalised geometric programming. Much of the current research in duality theory is focused on relaxing the requirement of concavity. Here we develop a duality theory for mathematical programs with a quasi concave objective function and explicit quasi concave constraints. Generalisations of the concave conjugate transform are introduced which pair quasi concave functions as the concave conjugate transform does for concave functions. Optimality conditions are derived relating the primal quasi concave program to its dual. This duality theory was motivated by and has implications in certain problems of mathematical economics. An application to economics is given.

ISSN:0323-3898    

DOI:10.1080/02331938008842683

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

In the paper a sufficient condition for the existence of local unique solution of nonlinear (general non-convex) programming problem is given. Once continuously differentiable functions are considered.

ISSN:0323-3898    

DOI:10.1080/02331938008842684

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

This paper deals with the generalized Hestenes-Powell method of multipliers for solving constrained optimization problems. Augmented Lagragians which are not necessarily concave in the generalized penalty parameter are introduced. Only the case of equality constraints is considered and local convergence theorems are provided

ISSN:0323-3898    

DOI:10.1080/02331938008842685

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

J.K. Lenstra: Sequencing by Enumerative Methods. Mathematical Centre Tracts 69 Mathematisch Centrum Amstenlam 1977, 198 S.

ISSN:0323-3898    

DOI:10.1080/02331938008842686

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

In this paper we investigate problems of optimal unification. We present results about the structure of admissible solutions set. Methods for solution of these problems are founded on the given results.

ISSN:0323-3898    

DOI:10.1080/02331938008842687

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

W. Prenowitz; J. Jantosciak: Join Geometries. A Theory of Convex sets and Linear Geometry. Springer-Verlag, Berli-Heidelberg-New York 1979, 532 S., DM 42, –.

ISSN:0323-3898    

DOI:10.1080/02331938008842688

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

The paper is concerned with the stability of theL∞-quasi-solutions In the sense of IVANOV for overdetermined, ill-conditioned linear equation systems.Astability theorem is proved, which considers perturbations in the coefficient-matrix of the equation system. Then an efficient way for the computation ofL∞-quasi-solutions is shown by means of parametric linear programming. The numerical investigations performed allow statements on the stability behaviour of such solutions when the right-hand side and the matrix of the equation systema reperturbed. It is shown thatL∞-quasi-solutions just provide good approximations if Euclidean-quasi-solutions or equivalent regularized solutions are very imprecisely.

ISSN:0323-3898    

DOI:10.1080/02331938008842689

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

G.F. Newell: Approximate Behavior Tandem Queues. Lectures Notes in Economics and Mathematical Systems, Vol. 171. Springer-Verlag, Berlin-Heidelberg-New York 1979., 410 S., DM 39, –.

ISSN:0323-3898    

DOI:10.1080/02331938008842691

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

A method for solving convex optimization problems in Hilbert spaces, based on the principle of goal coordination, is described. This general approach is then applied to a linear quadratic control problem, which is assumed to have a special structure. The arising informal problems of smaller dimension and without dynamics must be solved several times. The method is illustrated by an example.

ISSN:0323-3898    

DOI:10.1080/02331938008842692

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

R. Trappl; G.J. Klir; L. Riccardi (Eds.) Progress in Cybernetics and Systems Research. Vol. III. John Wiley & Sons Lim., Chichester 1978, 674 S., 28, 50.

ISSN:0323-3898    

DOI:10.1080/02331938008842693

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor