The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization /
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 e...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
©1994.
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| Series: | Lecture notes in computer science ;
769. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 101 pages) |
| Bibliography: | Includes bibliographical references (pages 91-101). |
| ISBN: | 9783540483106 (electronic bk.) 3540483101 (electronic bk.) |