Springer Series in Operations Research and Financial Engineering

Semismooth and Smoothing Newton Methods

Authors: Qi, Liqun, Sun, Defeng, Ulbrich, Michael

  • Presents a comprehensive treatment of the development of the generalized Newton method for solving nonsmooth equations and related problems with applications in optimization
  • Systematic treatment of subject
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  • ISBN 978-0-387-79150-0
  • Digitally watermarked, DRM-free
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Hardcover ca. $79.95
price for USA
  • Due: January 22, 2018
  • ISBN 978-0-387-79149-4
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About this book

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.

Buy this book

eBook  
  • ISBN 978-0-387-79150-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover ca. $79.95
price for USA
  • Due: January 22, 2018
  • ISBN 978-0-387-79149-4
  • Free shipping for individuals worldwide

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Bibliographic Information

Bibliographic Information
Book Title
Semismooth and Smoothing Newton Methods
Authors
Series Title
Springer Series in Operations Research and Financial Engineering
Copyright
2017
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-79150-0
Hardcover ISBN
978-0-387-79149-4
Series ISSN
1431-8598
Edition Number
1
Number of Pages
250
Number of Illustrations and Tables
20 b/w illustrations
Topics