Introductory lectures on convex optimization a basic course. Applied optimization 87.

Nesterov, Jurij Evgen?evi?:

ISBN 10: 1461346916 / ISBN 13: 9781461346913

Published by Boston, Springer Science+Business Media; Kluwer Academic, 2004

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 49 NES 9781461346913 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2506552

Bibliographic Details

• Title: Introductory lectures on convex optimization a basic course. Applied optimization 87.
• Publisher: Boston, Springer Science+Business Media; Kluwer Academic
• Publication Date: 2004
• Language: English
• ISBN 10: 1461346916
• ISBN 13: 9781461346913
• Binding: Hardcover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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].