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Book Cover
E-book
Author Nazareth, J. L. (John Lawrence)

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

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Description 1 online resource (xii, 101 pages)
Series Lecture notes in computer science ; 769
Lecture notes in computer science ; 769.
Contents Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology
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
Bibliography Includes bibliographical references (pages 91-101)
Subject Nonlinear programming.
Mathematical optimization.
Mathematical optimization
Nonlinear programming
Niet-lineaire programmering.
Optimaliseren.
Genre/Form Congressen (vorm)
Form Electronic book
ISBN 9783540483106
3540483101