John L. Nazareth

The Newton-Cauchy Framework

A Unified Approach to Unconstrained Nonlinear Minimization

• Broschiertes Buch

Produktbeschreibung

Computational unconstrained nonlinear optimization comes tolife from a study of the interplay between the metric-based(Cauchy) and model-based (Newton) points of view. Themotivating problem is that of minimizing a convex quadraticfunction. This research monograph reveals for the first timethe essential unity of the subject. It explores therelationships between the main methods, develops theNewton-Cauchy framework and points out its rich wealth ofalgorithmic implications and basic conceptual methods. Themonograph also makes a valueable contribution to unifyingthe notation and terminology of the subject. It is addressedtopractitioners, researchers, instructors, and students andprovides a useful and refreshing new perspective oncomputational nonlinear optimization.

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Produktdetails

• Lecture Notes in Computer Science 769
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-57671-6
• 1994.
• Seitenzahl: 120
• Erscheinungstermin: 28. Februar 1994
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 187g
• ISBN-13: 9783540576716
• ISBN-10: 3540576711
• Artikelnr.: 09255586

Inhaltsangabe

Motivation.- The metric-based Cauchy perspective.- The model-based Newton perspective.- The Newton-Cauchy framework.- Convergent implementable algorithms.- Unconstrained optimization technology.