Optimization By Vector Space Methods

Author : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 047118117X
Total Pages : 352 pages
Book Rating : 4.70/5 ( download)

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Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Author : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 9780471181170
Total Pages : 348 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Author : C. Nelson Dorny
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.50/5 ( download)

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Download or read book A Vector Space Approach to Models and Optimization written by C. Nelson Dorny and published by John Wiley & Sons. This book was released on 1975 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Amir Beck
Publisher : SIAM
ISBN 13 : 1611974984
Total Pages : 476 pages
Book Rating : 4.80/5 ( download)

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Download or read book First-Order Methods in Optimization written by Amir Beck and published by SIAM. This book was released on 2017-10-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.

Author : Yutaka Yamamoto
Publisher : SIAM
ISBN 13 : 1611972302
Total Pages : 270 pages
Book Rating : 4.06/5 ( download)

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Download or read book From Vector Spaces to Function Spaces written by Yutaka Yamamoto and published by SIAM. This book was released on 2012-10-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

Author : Stephen P. Boyd
Publisher : Cambridge University Press
ISBN 13 : 9780521833783
Total Pages : 744 pages
Book Rating : 4.87/5 ( download)

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Download or read book Convex Optimization written by Stephen P. Boyd and published by Cambridge University Press. This book was released on 2004-03-08 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.

Author : Amol Sasane
Publisher : Courier Dover Publications
ISBN 13 : 0486789454
Total Pages : 260 pages
Book Rating : 4.53/5 ( download)

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Download or read book Optimization in Function Spaces written by Amol Sasane and published by Courier Dover Publications. This book was released on 2016-03-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classroom-tested at the London School of Economics, this original, highly readable text offers numerous examples and exercises as well as detailed solutions. Prerequisites are multivariable calculus and basic linear algebra. 2015 edition.

Author : A. R. Conn
Publisher : SIAM
ISBN 13 : 0898714605
Total Pages : 960 pages
Book Rating : 4.09/5 ( download)

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Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Author : Andreas Löhne
Publisher : Springer Science & Business Media
ISBN 13 : 3642183514
Total Pages : 206 pages
Book Rating : 4.15/5 ( download)

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Download or read book Vector Optimization with Infimum and Supremum written by Andreas Löhne and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and to improve practically relevant algorithms for linear vector optimization problems.

Author : Donald R. Smith
Publisher : Courier Corporation
ISBN 13 : 9780486404554
Total Pages : 406 pages
Book Rating : 4.52/5 ( download)

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Download or read book Variational Methods in Optimization written by Donald R. Smith and published by Courier Corporation. This book was released on 1998-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.