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Other titles in the Springer Series in Operations Research and Financial Enginee series:

Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Enginee)

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Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Enginee) Cover

 

Synopses & Reviews

Publisher Comments:

This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.

Synopsis:

This book presents state-of-the-art theoretical analysis of fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems, and offers a set of tools for the unified treatment of various algorithms.

Product Details

ISBN:
9783319042466
Author:
Izmailov, Alexey F
Publisher:
Springer
Author:
Izmailov, Alexey F.
:
Solodov, Mikhail V.
Subject:
Mathematics : Applied
Subject:
Business Writing
Copyright:
Publication Date:
20140331
Binding:
Hardcover
Language:
English

Related Subjects

Business » Business Plans
Business » General
Business » Management
Business » Writing
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Modeling
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Newton-Type Methods for Optimization and Variational Problems (Springer Series in Operations Research and Financial Enginee) Used Hardcover
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Product details pages Springer - English 9783319042466 Reviews:
"Synopsis" by , This book presents state-of-the-art theoretical analysis of fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems, and offers a set of tools for the unified treatment of various algorithms.
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