The Newton-Cauchy Framework A Unified Approach to Unconstrained Nonlinear Minimization |
|
| Author:
| Nazareth, John Lawrence |
| Series title: | Lecture Notes in Computer Science Ser. |
| ISBN: | 978-3-540-48310-6 |
| Publication Date: | Jan 2006 |
| Publisher: | Springer
|
| Book Format: | Ebook |
| List Price: | USD $89.99 |
Book Description:
|
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...
More DescriptionComputational 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.