Optimization By Vector Space Methods
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Author | : David G. Luenberger |
Publisher | : John Wiley & Sons |
Total Pages | : 352 |
Release | : 1997-01-23 |
Genre | : Technology & Engineering |
ISBN | : 047118117X |
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 |
Total Pages | : 348 |
Release | : 1997-01-23 |
Genre | : Technology & Engineering |
ISBN | : 9780471181170 |
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 |
Total Pages | : 632 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Author | : Yutaka Yamamoto |
Publisher | : SIAM |
Total Pages | : 270 |
Release | : 2012-10-31 |
Genre | : Mathematics |
ISBN | : 1611972302 |
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 |
Total Pages | : 260 |
Release | : 2016-03-15 |
Genre | : Mathematics |
ISBN | : 0486789454 |
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 |
Total Pages | : 406 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 9780486404554 |
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 |
Total Pages | : 211 |
Release | : 2011-05-25 |
Genre | : Business & Economics |
ISBN | : 3642183514 |
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 |
Total Pages | : 744 |
Release | : 2004-03-08 |
Genre | : Business & Economics |
ISBN | : 9780521833783 |
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 | : D.G. Luenberger |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Author | : Aharon Ben-Tal |
Publisher | : SIAM |
Total Pages | : 500 |
Release | : 2001-01-01 |
Genre | : Technology & Engineering |
ISBN | : 0898714915 |
Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming. The book's focus on well-structured convex problems in conic form allows for unified theoretical and algorithmical treatment of a wide spectrum of important optimization problems arising in applications.