The Newton-Cauchy Framework

A Unified Approach to Unconstrained Nonlinear Minimization

von John L. Nazareth

108 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Computer Science
• Themen: Informatik und Informationstechnologie Informatik Theoretische Informatik Mathematik für Informatiker
• ISBN: 9783540576716
• Sprache: Englisch
• Erscheinungsdatum: 28.02.1994
• Größe: 23.3 x 15.5 cm
• Verlag: Springer Berlin