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Introductory Lectures on Convex Optimization: A Basic Course: 87 (Applied Optimization, 87) - Hardcover
Synopsis
Introductory Lectures on Convex Optimization The first elementary exposition of core ideas of complexity theory for convex optimization, this book explores optimal methods and lower complexity bounds for smooth and non-smooth convex optimization. Also covers polynomial-time interior-point methods.
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Synopsis
This is the first elementary exposition of the main ideas of complexity theory for convex optimization. Up to now, most of the material can be found only in special journals and research monographs. The book covers optimal methods and lower complexity bounds for smooth and non-smooth convex optimization. A separate chapter is devoted to polynomial-time interior-point methods. The book is suitable for industrial engineers and economists.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2003
- ISBN 10 1402075537
- ISBN 13 9781402075537
- BindingHardcover
- LanguageEnglish
- Number of pages254
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Introductory Lectures on Convex Optimization: A Basic Course (Applied Optimization, 87)
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It was in the middle of the 1980s, when the seminal paper by Kar markar opened a new epoch in nonlinear optimization. The importance of this paper, containing a new polynomial-time algorithm for linear op timization problems, was not only in its complexity bound. At that time, the most surprising feature of this algorithm was that the theoretical pre diction of its high efficiency was supported by excellent computational results. This unusual fact dramatically changed the style and direc tions of the research in nonlinear optimization. Thereafter it became more and more common that the new methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments. In a new rapidly develop ing field, which got the name 'polynomial-time interior-point methods', such a justification was obligatory. Afteralmost fifteen years of intensive research, the main results of this development started to appear in monographs[12, 14, 16, 17, 18, 19]. Approximately at that time the author was asked to prepare a new course on nonlinear optimization for graduate students. The idea was to create a course which would reflect the new developments in the field. Actually, this was a major challenge. At the time only the theory of interior-point methods for linear optimization was polished enough to be explained to students. The general theory of self-concordant functions had appeared in print only once in the form of research monograph [12]. 260 pp. Englisch. Seller Inventory # 9781402075537
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Introductory Lectures on Convex Optimization: A Basic Course (Applied Optimization, 87)
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Introductory Lectures on Convex Optimization : A Basic Course
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Springer US, Springer US, 2003
ISBN 10: 1402075537
ISBN 13: 9781402075537
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - It was in the middle of the 1980s, when the seminal paper by Kar markar opened a new epoch in nonlinear optimization. The importance of this paper, containing a new polynomial-time algorithm for linear op timization problems, was not only in its complexity bound. At that time, the most surprising feature of this algorithm was that the theoretical pre diction of its high efficiency was supported by excellent computational results. This unusual fact dramatically changed the style and direc tions of the research in nonlinear optimization. Thereafter it became more and more common that the new methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments. In a new rapidly develop ing field, which got the name 'polynomial-time interior-point methods', such a justification was obligatory. Afteralmost fifteen years of intensive research, the main results of this development started to appear in monographs[12, 14, 16, 17, 18, 19]. Approximately at that time the author was asked to prepare a new course on nonlinear optimization for graduate students. The idea was to create a course which would reflect the new developments in the field. Actually, this was a major challenge. At the time only the theory of interior-point methods for linear optimization was polished enough to be explained to students. The general theory of self-concordant functions had appeared in print only once in the form of research monograph [12]. Seller Inventory # 9781402075537
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Introductory Lectures on Convex Optimization: A Basic Course
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ISBN 10: 1402075537
ISBN 13: 9781402075537
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