Optimization and Operations Research

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Publisher : Springer Science & Business Media
ISBN 13 : 3642463290
Total Pages : 310 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Optimization and Operations Research by : W. Oettli

Download or read book Optimization and Operations Research written by W. Oettli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy \,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.

2. Oberwolfach-Tagung über Operations Research

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ISBN 13 :
Total Pages : 321 pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis 2. Oberwolfach-Tagung über Operations Research by : Rudolf Henn

Download or read book 2. Oberwolfach-Tagung über Operations Research written by Rudolf Henn and published by . This book was released on 1970 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Linear and Integer Programming

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Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)

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Book Synopsis Theory of Linear and Integer Programming by : Alexander Schrijver

Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.

Graphs and Order

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Publisher : Springer Science & Business Media
ISBN 13 : 9400953151
Total Pages : 798 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Graphs and Order by : Ivan Rival

Download or read book Graphs and Order written by Ivan Rival and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the accounts of the principal survey papers presented at GRAPHS and ORDER, held at Banff, Canada from May 18 to May 31, 1984. This conference was supported by grants from the N.A.T.O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the University of Calgary. We are grateful for all of this considerable support. Almost fifty years ago the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. On that occasion the principal lectures were delivered by G. Birkhoff, O. Ore and M.H. Stone. In those days the theory of ordered sets was thought to be a vigorous relative of group theory. Some twenty-five years ago the Symposium on Partially Ordered Sets and Lattice Theory was held in Monterey, U.S.A. Among the principal speakers at that meeting were R.P. Dilworth, B. Jonsson, A. Tarski and G. Birkhoff. Lattice theory had turned inward: it was concerned primarily with problems about lattices themselves. As a matter of fact the problems that were then posed have, by now, in many instances, been completely solved.

Index of Mathematical Papers

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ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Index of Mathematical Papers by :

Download or read book Index of Mathematical Papers written by and published by . This book was released on 1985 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contents of Contemporary Mathematical Journals

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ISBN 13 :
Total Pages : 930 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Contents of Contemporary Mathematical Journals by :

Download or read book Contents of Contemporary Mathematical Journals written by and published by . This book was released on 1974 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear-Fractional Programming Theory, Methods, Applications and Software

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Publisher : Springer Science & Business Media
ISBN 13 : 1441991743
Total Pages : 442 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Linear-Fractional Programming Theory, Methods, Applications and Software by : E.B. Bajalinov

Download or read book Linear-Fractional Programming Theory, Methods, Applications and Software written by E.B. Bajalinov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP"). The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 1960's, is concerned with problems of op timization. LFP problems deal with determining the best possible allo cation of available resources to meet certain specifications. In particular, they may deal with situations where a number of resources, such as people, materials, machines, and land, are available and are to be combined to yield several products. In linear-fractional programming, the goal is to determine a per missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc. Strictly speaking, linear-fractional programming is a special case of the broader field of Mathematical Programming. LFP deals with that class of mathematical programming problems in which the relations among the variables are linear: the con straint relations (i.e. the restrictions) must be in linear form and the function to be optimized (i.e. the objective function) must be a ratio of two linear functions.

Index of Conference Proceedings Received

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ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Index of Conference Proceedings Received by : British Library. Lending Division

Download or read book Index of Conference Proceedings Received written by British Library. Lending Division and published by . This book was released on 1988-07 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming and Network Flows

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Publisher : John Wiley & Sons
ISBN 13 : 0471703761
Total Pages : 764 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Linear Programming and Network Flows by : Mokhtar S. Bazaraa

Download or read book Linear Programming and Network Flows written by Mokhtar S. Bazaraa and published by John Wiley & Sons. This book was released on 2011-08-10 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Programming and Network Flows, now in its third edition, addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequility constraints. This book: * Provides methods for modeling complex problems via effective algorithms on modern computers. * Presents the general theory and characteristics of optimization problems, along with effective solution algorithms. * Explores linear programming (LP) and network flows, employing polynomial-time algorithms and various specializations of the simplex method.

Mathematical Reviews

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Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Mathematical Reviews by : American Mathematical Society

Download or read book Mathematical Reviews written by American Mathematical Society and published by American Mathematical Society(RI). This book was released on 1981-12 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

VERHANDLUNGEN- 5 OBERWOLFACH-TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (846 download)

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Book Synopsis VERHANDLUNGEN- 5 OBERWOLFACH-TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS. by :

Download or read book VERHANDLUNGEN- 5 OBERWOLFACH-TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Numerical Continuation Methods

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Publisher : SIAM
ISBN 13 : 089871544X
Total Pages : 409 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Introduction to Numerical Continuation Methods written by Eugene L. Allgower and published by SIAM. This book was released on 2003-01-01 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. Introduction to Numerical Continuation Methods also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals.

BLL Conference Index, 1964-1973

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Publisher : Boston Spa [Eng.] : British Library Lending Division
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis BLL Conference Index, 1964-1973 by : British Library. Lending Division

Download or read book BLL Conference Index, 1964-1973 written by British Library. Lending Division and published by Boston Spa [Eng.] : British Library Lending Division. This book was released on 1974 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

VERHANDLUNGEN- 6 OBERWOLFACH- TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (846 download)

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Book Synopsis VERHANDLUNGEN- 6 OBERWOLFACH- TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS. by :

Download or read book VERHANDLUNGEN- 6 OBERWOLFACH- TAGUNG UBER OPERATIONS RESEARCH- 2 PARTS. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Continuation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642612571
Total Pages : 402 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Numerical Continuation Methods written by Eugene L. Allgower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.

Numerical Methods of Approximation Theory, Vol.6 \ Numerische Methoden der Approximationstheorie, Band 6

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Publisher : Birkhäuser
ISBN 13 : 3034871864
Total Pages : 267 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Methods of Approximation Theory, Vol.6 \ Numerische Methoden der Approximationstheorie, Band 6 by : Collatz

Download or read book Numerical Methods of Approximation Theory, Vol.6 \ Numerische Methoden der Approximationstheorie, Band 6 written by Collatz and published by Birkhäuser. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Der Band enthalt Manuskripte zu Vortragen, die auf einer von den Herausgebern geleiteten Tagung tiber "Numerische Methoden der Approximationstheorie" am Mathematischen Forschungsinstitut Ober wolfach in der Zeit vom 18.-24. Januar 1981 gehalten wurden. Das Spektrum der Vortrage reichte von der klassischen Approximations theorie tiber mehrdimensionale Approximationsverfahren bis hin zu praxisbezogenen Fragestellungen. Zu den zuerst genannten Gebieten gehorten z. B. die Verfeinerung von Fehlerabschatzungen bei der Polynominterpolation, Fragen zur Eindeutigkeit, Charakterisierung optimaler Interpolationsprozesse und Algorithmen zur rationalen Interpolation. Bei den weiteren genannten Gebieten spiegel ten zahlreiche Vortrage das steigende Interesse an der mehrdimensio nalen Interpolation, insbesondere mit verschiedenen Arten von Splines wider. Hier standen u. a. Probleme der Parameterschatzung in der Medizin und Flugtechnik, Fragen der Approximationstheorie bei der Konstruktion von Plottern und stabile Algorithmen beim Arbeiten mit mehrdimensionalen B-Splines im Mittelpunkt des Interesses. Die Tagung lieferte einen reprasentativen Ueberblick tiber die aktuellen Trends in der Approximationstheorie. Zum guten Erfolg der Tagung trug wie immer die hervorragende Be treuung durch die Mitarbeiter und Angestellten des Instituts so-' wie das verstandnisvolle Entgegenkommen des Institutsdirektors, Herrn Professor Dr. Barner, bei. Un serer besonderer Dank gilt dem Birkhauser Verlag ftir die wie stets sehr gute Ausstattung. Helmut Werner Lothar Collatz Gtinther Meinardus Hamburg Mannheim Bonn 7 INDEX Blatt, H.-P. Strenge Eindeutigkeitskonstanten und Fehlerabschatzungen bei linearer Tschebyscheff-Approximation 9 Bohmer, K. Polynom- und Spline-Interpolation (Ein Farbfilm) 26 Brannigan, M.A Multivariate Adaptive Data Fitting Algorithm 30 Brass, H. Zur numerischen Berechnung konjugierter Funktionen 43 Bultheel, A

General Inequalities 1 / Allgemeine Ungleichungen 1

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Publisher : Birkhäuser
ISBN 13 : 303485563X
Total Pages : 323 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis General Inequalities 1 / Allgemeine Ungleichungen 1 by : BECKENBACH

Download or read book General Inequalities 1 / Allgemeine Ungleichungen 1 written by BECKENBACH and published by Birkhäuser. This book was released on 2013-12-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: personlichen Kontakt der Wissenschaftler untereinander zustande kommt, als die unpersonliche, nur literarische Information."