Research Catalog

The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization

Title
The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization / J.L. Nazareth.
Author
Nazareth, J. L. (John Lawrence)
Publication
Berlin ; New York : Springer-Verlag, ©1994.

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StatusFormatAccessCall NumberItem Location
TextUse in library T57.8 .N39 1994Off-site

Details

Description
xii, 101 pages; 24 cm.
Summary
"Computational unconstrained nonlinear optimization comes to life from a study of the interplay between the metric-based (Cauchy) and model-based (Newton) points of view. The motivating problem is that of minimizing a convex quadratic function. This research monograph reveals for the first time the essential unity of the subject. It explores the relationships between the main methods, develops the Newton-Cauchy framework and points out its rich wealth of algorithmic implications and basic conceptual methods. The monograph also makes a valueable contribution to unifying the notation and terminology of the subject. It is addressed topractitioners, researchers, instructors, and students and provides a useful and refreshing new perspective on computational nonlinear optimization."--PUBLISHER'S WEBSITE.
Series Statement
Lecture notes in computer science ; 769
Uniform Title
Lecture notes in computer science ; 769.
Subject
  • Nonlinear programming
  • Mathematical optimization
  • Mathematical optimization
  • Nonlinear programming
  • Nichtlineare Optimierung
  • Numerisches Verfahren
  • Niet-lineaire programmering
  • Optimaliseren
  • Optimization mathématique
  • Programmation non linéaire
Bibliography (note)
  • Includes bibliographical references.
Contents
Ch. 1. Motivation -- Ch. 2. The Metric-Based Cauchy Perspective -- Ch. 3. The Model-Based Newton Perspective -- Ch. 4. The Newton-Cauchy Framework -- Ch. 5. Convergent Implementable Algorithms -- Ch. 6. Unconstrained Optimization Technology.
ISBN
  • 0387576711
  • 9780387576718
  • 3540576711
  • 9783540576716
LCCN
93049417
OCLC
  • ocm29598250
  • 29598250
  • SCSB-9126538
Owning Institutions
Princeton University Library