Download or read book Enumerative Algorithms for Separable Non convex Programming Problems written by James Richmond Fergusson and published by . This book was released on 1974 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algorithm for Separable Nonconvex Programming Problems Nonlinear Constraints written by Richard M. Soland and published by . This book was released on 1969 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper extends the algorithm described in a previous report to problems in which the objective function and the constraint functions are the sums of functions of the various decision variables. The important feature of the algorithm is that the global solution to a problem will be found even if the objective function is not convex and the feasible region is not a convex set. (Author).
Download or read book Integer Programming and Related Areas written by C. Kastning and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.
Download or read book Integer Programming and Related Areas A Classified Bibliography 1976 1978 written by D. Hausmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algorithm for Separable Nonconvex Programming Problems written by James E. Falk and published by . This book was released on 1968 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm is presented for solving mathematical programming problems of the form: Find chi = (chi sub one ..., chi sub n) to minimize Summation (Phi sub i (chi sub i)) subject to chi) an element of G and l = or
Download or read book Handbook of Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.
Download or read book Separable Programming written by S. M. Stefanov and published by . This book was released on 2014-01-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Global Optimization written by Thomas Frederick Coleman and published by American Mathematical Soc.. This book was released on 2009 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of mathematical models in many diverse areas of science and engineering have lead to the formulation of optimization problems where the best solution (globally optimal) is needed. This book covers a small subset of important topics in global optimization with emphasis on theoretical developments and scientific applications.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book A Branch and Bound Method for Nonseparable Nonconvex Optimization written by James K. Hartman and published by . This book was released on 1975 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper a nonconvex programming algorithms which was developed originally for separable programming problems is formally extended to apply to nonseparable problems also. It is shown that the basic steps of the method can be modified so that separability is no restriction. (Author).
Download or read book Fixed Point Algorithms for Inverse Problems in Science and Engineering written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.
Download or read book Technical Report written by and published by . This book was released on 1974 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mixed Integer Nonlinear Programming written by Jon Lee and published by Springer Science & Business Media. This book was released on 2011-12-02 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.
Download or read book A Two Segment Approximation Algorithm for Separable Convex Programming with Linear Constraints written by Agha Iqbal Ali and published by . This book was released on 1984 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Document discusses a new algorithm for the separable convex programming with linear constraints. This is based on the approximation of the objective function by at most two linear pieces in the neighborhood of the current feasible solution. The two segments will be adaptively defined rather than predecided fixed grids. If, furthermore, the objective function is differentiable, and one introduces a non-Archimedean infinitesimal, the algorithm generates a sequence of feasible solutions every cluster point of which is an optimal solution. Computational tests on the problem with up to 196 non-linear variables is presented. (Author).
Download or read book Computational Science and Its Applications ICCSA 2006 written by Osvaldo Gervasi and published by Springer. This book was released on 2006-05-11 with total page 1268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 3980-3984 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2006. The volumes present a total of 664 papers organized according to the five major conference themes: computational methods, algorithms and applications high performance technical computing and networks advanced and emerging applications geometric modelling, graphics and visualization information systems and information technologies. This is Part III.
Download or read book An Algorithm for Separable Piecewise Convex Programming Problems written by Richard M. Soland and published by . This book was released on 1971 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents a branch and bound algorithm to solve mathematical programming problems of the form: Find x = (x(1), ..., x(n)) to minimize the summation of Phi(sub i 0)(x sub i) subject to x belongs to G, l
Download or read book An Algorithm for Locating Approximate Global Solutions of Nonconvex Separable Problems written by James E. Falk and published by . This book was released on 1972 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commonly employed method for locating solutions of separable programming problems involves a modification of the simplex method applied to a piecewise linear approximation of the original problem. This technique locates only local solutions of the approximate problem. The author presents here the details of a method designed to locate global solutions of the same problem. The method is based on the branch and bound procedure and sets up a finite sequence of linear programming subproblems of a special structure whose solutions ultimately yield the desired global solution. An example is given, and some computational aspects are discussed. (Author).
