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The Newton-Cauchy Framework : A Unified Approach to Unconstrained Nonlinear Minimization / by John L. Nazareth
(Lecture Notes in Computer Science. ISSN:16113349 ; 769)
版 | 1st ed. 1994. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1994 |
本文言語 | 英語 |
大きさ | XII, 108 p : online resource |
著者標目 | *Nazareth, John L author SpringerLink (Online service) |
件 名 | LCSH:Computer science -- Mathematics
全ての件名で検索
LCSH:Computer-aided engineering LCSH:Numerical analysis LCSH:Business information services LCSH:Dynamics LCSH:Nonlinear theories LCSH:System theory LCSH:Control theory FREE:Mathematics of Computing FREE:Computer-Aided Engineering (CAD, CAE) and Design FREE:Numerical Analysis FREE:IT in Business FREE:Applied Dynamical Systems FREE:Systems Theory, Control |
一般注記 | Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology 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 HTTP:URL=https://doi.org/10.1007/3-540-57671-1 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540483106 |
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EB00225582 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA76.9.M35 DC23:004.0151 |
書誌ID | 4001090356 |
ISBN | 9783540483106 |