Nonlinear programming: sequential unconstrained minimization techniques
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Bibliographic Details
Main Author: Fiacco, Anthony V. 1928-2013 (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia, Pa. Society for Industrial and Applied Mathematics 1990
Series:Classics in applied mathematics 4
Subjects:
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (s. 196-201) and indexes
Chapter 1. Introduction -- Chapter 2. Mathematical programming theory -- Chapter 3. Interior point unconstrained minimization techniques -- Chapter 4. Exterior point unconstrained minimization techniques -- Chapter 5. Extrapolation in unconstrained minimization techniques -- Chapter 6. Convex programming -- Chapter 7. Other unconstrained minimization techniques -- Chapter 8. Computational aspects of unconstrained minimization algorithms -- Author index -- Subject index
Recent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them
Physical Description:1 Online-Ressource (xvi, 210 Seiten)
ISBN:0898712548
9780898712544
DOI:10.1137/1.9781611971316

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