[PDF] Optimization By Vector Space Methods eBook

Author : David G. Luenberger
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 43,8 MB
Release : 1997-01-23
Category : Technology & Engineering
ISBN : 047118117X

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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
Page : 348 pages
File Size : 45,5 MB
Release : 1997-01-23
Category : Technology & Engineering
ISBN : 9780471181170

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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 : Yutaka Yamamoto
Publisher : SIAM
Page : 270 pages
File Size : 47,48 MB
Release : 2012-10-31
Category : Mathematics
ISBN : 1611972302

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A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

Author : Amol Sasane
Publisher : Courier Dover Publications
Page : 260 pages
File Size : 48,47 MB
Release : 2016-03-15
Category : Mathematics
ISBN : 0486789454

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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 : Donald R. Smith
Publisher : Courier Corporation
Page : 406 pages
File Size : 41,30 MB
Release : 1998-01-01
Category : Mathematics
ISBN : 9780486404554

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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.

Author : Andreas Löhne
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 42,63 MB
Release : 2011-05-25
Category : Business & Economics
ISBN : 3642183514

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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 : Stephen P. Boyd
Publisher : Cambridge University Press
Page : 744 pages
File Size : 45,14 MB
Release : 2004-03-08
Category : Business & Economics
ISBN : 9780521833783

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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 : C. Zalinescu
Publisher : World Scientific
Page : 389 pages
File Size : 41,12 MB
Release : 2002
Category : Science
ISBN : 9812380671

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The primary aim of this book is to present the conjugate and sub/differential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.