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Nonlinear programming : sequential unconstrained minimization techniqueus / Anthony V. Fiacco, Grath P. McCormick

Main Author Fiacco, Anthony V. Coauthor MacCormick, Garth P. Country Estados Unidos. Publication Philadelphia : Siam, cop. 1990 Description IX, 210 p. : il. gráficos ; 23 cm Series Classics in applied mathematics ISBN 0-89871-254-8 CDU 519.853
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Holdings
Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUMD 109918 Available 127318
Monografia Biblioteca da UMinho no Campus de Azurém
BPG 519.853 - F Available 317942
Total holds: 0

Enhanced descriptions from Syndetics:

A reprint of the original volume, which won the Lanchester Prize awarded by the Operations Research Society of America for the best work of 1968. Although out of print for nearly 15 years, it remains one of the most referenced volumes in the field of mathematical programming.

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.

Table of contents provided by Syndetics

  • 1 Introduction
  • 2 Mathematical Programming Theory
  • 3 Interior Point Unconstrained Minimization Techniques
  • 4 Exterior Point Unconstrained Minimization Techniques
  • 5 Extrapolation in Unconstrained Minimization Techniques
  • 6 Convex Programming
  • 7 Other Unconstrained Minimization Techniques
  • 8 Computational Aspects of Unconstrained Minimization Algorithms
  • Author Index
  • Subject Index

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