Last edited by Kajikazahn

Friday, April 17, 2020 | History

13 edition of **Optimization by Vector Space Methods** found in the catalog.

- 126 Want to read
- 36 Currently reading

Published
**1969** by John Wiley & Sons Inc in New York, USA .

Written in English

Unifies the field of optimization with a few geometric principles

The number of books that can legitimately be called classics in their fields is small indeed, but David Luenberger"s OPtimization by Vector Space Methods certainly qualifies. Not only does Luenberger clearly demonstrate that a large segment of the field of optimization can be effectively unified by a few geometric principles of linear vector space theory, but his methods have found applications quite removed from the engineering problems to which they were first applied. Nearly 30 years after its initial publication, athis book is still among the most frequently cited sources in books and articles on financial optimization.

The book uses functional analysis--the study of linear vector spaces--to impose problems. Thea early chapters offer an introduction to functional analysis, with applications to optimization. Topics addressed include linear space, Hilbert space, least-squares estimation, dual spaces, and linear operators and adjoints. Later chapters deal explicitly with optimization theory, discussing:

Optimization of functionals

Global theory of constrained optimization

Iterative methods of optimization

End-of-chapter problems constitute a major component of this book and come in two basic varieties. The first consists of miscellaneous mathematical problems and proofs that extend and supplement the theoretical material in the text; the second, optimization problems, illustrates further areas of application and helps the reader formulate and solve practical problems.

For professionals and graduate students in engineering, mathematics, operations research, economics, and business and finance, Optimization by Vector Space Methods is an indispensable source of problem-solving tools

--back cover

**Edition Notes**

Series | Wiley Professional Paperback Series; Series in Decision and Control |

The Physical Object | |
---|---|

Format | Paperback |

Pagination | xvii, 326p. |

Number of Pages | 344 |

ID Numbers | |

Open Library | OL7612943M |

ISBN 10 | 047118117X |

ISBN 10 | 9780471181170 |

Note to mathematicians or at least math professors : lead with the interesting stuff before the theory. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. Seconding your wish that curricula would lead with motivations and then drill mechanics rather than drilling mechanics for 11 years and finally giving you the motivation in year Reviews From the reviews: "J. Jahn, well known by his papers and books on convex analysis and optimization … wrote this interesting book that gives a clear insight into theory and application of vector optimization.

About this book Introduction "Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. This book shows engineers how to use optimization theory to solve complex problems. Good G : This item is in okay condition and basically works well. Considerung your post I can only ask you why you did not have a talk with the course advisor of your faculty.

Close to new. The book uses functional analysis --the study of linear vector spaces --to impose simple, intuitive interpretations on complex, infinite-dimensional problems. Sometimes called: mint-minus. May show remainder marks. For vinyl: barely detectable crackles or pops.

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As a mathematician I say: What is considered as interesting is different for each person. The book is intended for mathematicians interested in optimization and applied functional analysis.

For vinyl: barely detectable crackles or pops.

Not necessarily sealed or unused, but close. It will undoubtedly become … a classical reference in the field. The early chapters offer an introduction to functional analysis, with applications to optimization. Jahn, well known by Optimization by Vector Space Methods book papers and books on convex analysis and optimization … wrote this interesting book that gives a clear insight into theory and application of vector optimization.

This problem is a generalization of the above, and the solution is not as obvious. I found it easier to learn things like stats, linear algebra, and calculus once I had a personal application to it.

Optimization by Vector Space Methods book FR : This item is in okay condition. It's friendly and very well structured and easy to use on one's own. Topics addressed include linear space, Hilbert space, least-squares estimation, dual spaces, and linear operators and adjoints.

I can describe the book as "clear and concise," but that doesn't begin to do it justice. End-of-chapter problems constitute a major component of this book and come in two basic varieties.

The variables in this problem are the curves connecting the two points. Very Good VG : Shows some signs of wear and is no longer fresh. So I would say even finding "interesting stuff" that many students in the lecture hall might be interested in is really, really hard.

This book shows engineers how to use optimization theory to solve complex problems. This is one of the very few math books I've ever read that is actually engaging. Poor P : All text is legible but may be soiled and have binding defects.

The optimal solution is of course the line segment joining the points, if the metric defined on the plane is the Euclidean metric. HPB pick - Out of stock Loading Then they tag all the interesting stuff like AI we didn't call it Machine Learning back in the 90s at the end of your major where you actually use it.

Good G : Attractive and well cared for, but no longer fresh.

For vinyl: good is not so good and the record may have low level crackles or pops when playing. It reads like a carefully constructed and mathematically elegant "story".

Kuhn and A.

Start your review of Optimization by Vector Space Methods Write a review Shelves: textbooks Luenberger's talent for balancing mathematical rigor with clear and intuitive descriptions is truly amazing. Even something that I love in Reinforcement Learning, I would sometimes get sleepy reading pages and pages from the Sutton and Optimization by Vector Space Methods book book, but as soon as I worked on a coding exercise, I could spend hours actively participate with trying to solve the problem.

Not only does Luenberger clearly demonstrate that a large segment of the field of optimization can be effectively unified by a few geometric principles of linear vector space theory, but his methods have found applications quite removed from the engineering problems to which they were first applied.

For professionals and graduate students in engineering, mathematics, operations research, economics, and business and finance, Optimization by Vector Space Methods is an indispensable source of Optimization by Vector Space Methods book tools.

The first consists of miscellaneous mathematical problems and proofs that extend and supplement the theoretical material in the text; the second, optimization problems, illustrates further areas of application and helps the reader formulate and solve practical problems.

Examples[ edit ] Find the shortest path between two points in a plane. Another important argument against your idea is: To be even able to formulate the ideas from AI, one first have to learn and understand the words of the language in which one will formulate this.

And these words are like "vector space", "linear map", "tensor product" etc.Optimization by Vector Space Methods (Series in Decision and Control)的书评 (全部 1 条) 热门 / 最新 / 好友 何进荣 /10(24). From the Back Cover. Unifies the field of optimization with a few geometric principles.

The number of books that can legitimately be called classics in their fields is small indeed, but David Luenberger's Optimization by Vector Space Methods certainly qualifies/5(31). Optimization by Vector Spaces Methods 《用向量空间的方法进行最优化》 作 者：David G.

Luenberger 出 版：John Wiley&Sons,Inc., 事实上，可以称得上是某领域的经典书籍非常少，然而，David G. Luenberger的这本《用向量空间的方法进行最优化》绝对堪称该领域的经典之作。5/5.OPTIMIZATION BY VECTOR SPACE METHODS Pdf G.

Luenberger Stanford University, Stanford, California The Main Principles 8 Organization of the Book 10 2 LINEAR SPACES 11 Introduction 11 VECTOR SPACES 11 Definition and Examples 11 Subspaces, Linear Combinations, and Linear Varieties 14 OPTIMIZATION IN HILBERT SPACE The.Vector optimization is a subarea of mathematical optimization where optimization problems with a download pdf objective functions are optimized with respect to a given partial ordering and subject to certain constraints.

A multi-objective optimization problem is a special case of a vector optimization problem: The objective space is the finite dimensional Euclidean space partially ordered by.3 Vector Space Methods ebook Static Optimization 83 of matrices can ebook found in the book by Horn and Johnson [18].

Vectors and Set Operations Vectors We use Rn to denote the set of n-dimensional vectors. We view the vectors of Rn as columns. Given a vector, x ∈ Rn, we write x.