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The Newton-Cauchy Framework: A Unified Approach to Unconstrained Nonlinear Minimization

The Newton-Cauchy Framework: A Unified Approach to Unconstrained Nonlinear Minimization

Paperback

Series: Lecture Notes in Computer Science, Book 769

General ComputersGeneral Mathematics

ISBN10: 3540576711
ISBN13: 9783540576716
Publisher: Springer
Published: Feb 28 1994
Pages: 108
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English
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.

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