Semismooth and Smoothing Newton Methods (Springer Series in Operations Research and Financial Engineering)
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Bester Preis: Fr. 73.57 (€ 75.17)¹ (vom 11.02.2017)1
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Semismooth and Smoothing Newton Methods (Springer Series in Operations Research and Financial Engineering) (2017)
EN HC NW FEISBN: 9780387791494 bzw. 0387791493, in Englisch, 250 Seiten, Springer, gebundenes Buch, neu, Erstausgabe.
Lieferung aus: Vereinigte Staaten von Amerika, Not yet published.
Von Händler/Antiquariat, Amazon.com.
Since its introduction by Isaac Newton (1669) and Joseph Raphson (1690) more than three hundred years ago, Newton's method or the Newton-Raphson method has become the most important technique for solving the system of smooth algebraic equations. Despite its simple structure, Newton's method possesses a fast local convergence rate - superlinear or quadratic. This outstanding feature of Newton's method leads to numerous extensions in the literature. Most of these extensions focus on systems of smooth equations. Since the 1980s, researchers the fields of optimization and numerical analysis have been working on extending Newton's method to non-differentiable system of algebraic equations. This book presents a comprehensive treatment of the development of the generalized Newton method for solving nonsmooth equations and related problems which grow out of science, engineering, economics and business and sheds light on further investigations of this fascinating topic oriented towards applications in optimization. Semismooth analysis, which form the backbone of further developments, is developed in Chapter 1. Topics then unfold systematically, with apposite illustrations and examples. Graduate students and researchers in this area will find the book useful., Hardcover, Edition: 1st ed. 2017, Label: Springer, Springer, Product group: Book, Published: 2017-07-26, Studio: Springer, Sales rank: 1810377.
Von Händler/Antiquariat, Amazon.com.
Since its introduction by Isaac Newton (1669) and Joseph Raphson (1690) more than three hundred years ago, Newton's method or the Newton-Raphson method has become the most important technique for solving the system of smooth algebraic equations. Despite its simple structure, Newton's method possesses a fast local convergence rate - superlinear or quadratic. This outstanding feature of Newton's method leads to numerous extensions in the literature. Most of these extensions focus on systems of smooth equations. Since the 1980s, researchers the fields of optimization and numerical analysis have been working on extending Newton's method to non-differentiable system of algebraic equations. This book presents a comprehensive treatment of the development of the generalized Newton method for solving nonsmooth equations and related problems which grow out of science, engineering, economics and business and sheds light on further investigations of this fascinating topic oriented towards applications in optimization. Semismooth analysis, which form the backbone of further developments, is developed in Chapter 1. Topics then unfold systematically, with apposite illustrations and examples. Graduate students and researchers in this area will find the book useful., Hardcover, Edition: 1st ed. 2017, Label: Springer, Springer, Product group: Book, Published: 2017-07-26, Studio: Springer, Sales rank: 1810377.
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