The Newton-Cauchy Framework
| Autor: | Nazareth, John L. |
|---|---|
| EAN: | 9783540576716 |
| Sachgruppe: | Informatik, EDV Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 120 |
| Produktart: | Kartoniert / Broschiert |
| Veröffentlichungsdatum: | 28.02.1994 |
| Untertitel: | A Unified Approach to Unconstrained Nonlinear Minimization |
| Schlagworte: | Newton, Isaac Nichtlinear |
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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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