Last edited by Zolokinos
Wednesday, August 12, 2020 | History

8 edition of Nonsmooth Equations in Optimization found in the catalog.

Nonsmooth Equations in Optimization

Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications)

by Diethard Klatte

  • 3 Want to read
  • 23 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Applied mathematics,
  • Computer Programming,
  • Optimization,
  • Medical / Nursing,
  • Calculus,
  • Optimization (Mathematical Theory),
  • Mathematics,
  • Science/Mathematics,
  • Nonsmooth optimization,
  • Game Theory,
  • General,
  • Linear Programming,
  • Mathematics / Linear Programming,
  • Mathematics-Game Theory,
  • Mathematics-Linear Programming,
  • Medical / General

  • The Physical Object
    FormatHardcover
    Number of Pages360
    ID Numbers
    Open LibraryOL9532654M
    ISBN 101402005504
    ISBN 109781402005503

    Purchase Nonsmooth and Discontinuous Problems of Control and Optimization - 1st Edition. Print Book & E-Book. ISBN , This book includes papers on theory, algorithms and applications for problems with fast-order nondifferentiability, second-order nondifferentiability, nonsmooth equations, nonsmooth variational Read .

    Taheri S., Mammadov M. () Solving Systems of Nonlinear Equations using a Globally Convergent Optimization Algorithm, Global Journal of Technology and Optimization, 3,– Taheri S., Mammadov M., Seifollahi S. () Globally Convergent Optimization Methods for unconstrained Problems, Optimization: A Journal of Mathematical Programming. Nonsmooth Approach to Optimization Problems with Equilibrium Constraints: Theory, Applications and Numerical Results Jiři Outrata, Michal Kočvara, Jochem Zowe (auth.) In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization.

    L. Qi, X. J. Tong and D. H. Li, An active-set projected trust region algorithm for box constrained nonsmooth equations,, Journal of Optimization Theories and . Nonsmooth Equations in Optimization Regularity, Calculus, Methods and Applications by Diethard Klatte; B. Kummer and Publisher Springer. Save up to 80% by choosing the eTextbook option for ISBN: , The print version of this textbook is ISBN: ,


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Nonsmooth Equations in Optimization by Diethard Klatte Download PDF EPUB FB2

Briefly, this discipline is often called nonsmooth analysis, sometimes also variational analysis. Our book fits into this discipline, however, our main intention is to develop the analytical theory in close connection with the needs of applications in optimization and related subjects.

Main Topics of the Book 1. Buy Nonsmooth Equations in Optimization: "Regularity, Calculus, Methods And Applications" (Nonconvex Optimization and Its Applications (60)) on FREE Cited by: Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications (60)) Hardcover – by Diethard Klatte (Author) › Visit Amazon's Diethard Klatte Page.

Find all the books, read about the author, and more. See search Cited by: Nonsmooth Equations in Optimization - Regularity, Calculus, Methods and Applications.

Kluwer Academic Publ., Dordrecht-Boston-London,sorry Discover the world's research. This paper reports on some recent developments in the area of solving of nonsmooth equations by generalized Newton methods. The emphasis is on three topics: motivation, characterization of superlinear convergence, and a new Gauss–Newton method for solving a certain class of nonsmooth equations.

We present a new approach for solving nonsmooth optimization problems and a system of nonsmooth equations which is based on generalized derivative. For this purpose, we introduce the first order of generalized Taylor expansion of nonsmooth functions and replace it with smooth functions.

In other words, nonsmooth function is approximated by a piecewise linear function based on generalized. Part of the Applied Optimization book series (APOP, volume 30) Abstract.

In this article we review and summarize recent developments on nonsmooth equations and smoothing Newton methods. Chen and D. Sun, Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations.

In Nonlinear Optimization and Applications. Based on Fischer's function, a new nonsmooth equations approach is presented for solving nonlinear complementarity problems. Under some suitable assumptions, a local and Q-quadratic convergenceresult is established for the generalized Newton method applied to the system of nonsmooth equations, which is a reformulation of nonlinear complementarity problems.

A deeper foray into nonsmooth analysis is required then in identifying the right properties to work with. For a start on understanding recent work in this branch of nonsmooth optimization, papers of Overton [5] and Overton/Womersely [6] are helpful.

Lagrangian relaxation and decomposition. A major area leading to nonsmooth op. Purchase Mathematics of Optimization: Smooth and Nonsmooth Case - 1st Edition. Print Book & E-Book. ISBNSystem Upgrade on Tue, May 19th, at 2am (ET) During this period, E-commerce and registration of new users may not be available for up to 12 hours.

Klatte / Kummer, Nonsmooth Equations in Optimization, 1st Edition. Softcover version of original hardcover edition, Buch, Bücher schnell und portofrei. Solving nearly-separable quadratic optimization problems as nonsmooth equations.

February ; Computational Optimization and Applications 67(2); DOI: /s Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation.

The book is largely self-contained and incorporates numerous simplifications and unifying features for the subject’s key concepts and. the paradigm is amenable to numerical solution for accurate dynamic simulation and optimization in a tractable way thanks to the development of a nonsmooth vector forward mode of automatic differentiation (Khan and Barton, ), which can be combined with existing dedicated nonsmooth methods (e.g.

equation-solving (Qi and Sun,Facchinei. The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook following topics are particularly emphasised:• existence.

second-order sufficient conditions in nonsmooth optimization. Chaney, Robin W. // Mathematics of Operations Research;Nov88, Vol. 13 Issue 4, p Focuses on a study which discussed second-order sufficient conditions to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems.

Mix Books Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization (English Edition) Full books I enjoyed this book so much it brought me to tears because I finally learned how to read I hope this has helped others as much as it has helped me.

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization (English Edition) books; It.

˙nite-dimensional nonsmooth equations whose nonsmoothness is given by Fischer–Burmeister-type complementarity functions. The methods apply to,e.g.,nonlinearcomplementarity problems,generalized Nash equilibrium problems, and constrained nonlinear optimization problems. We discuss some of the applications and provide preliminary numerical results.

Book Description "This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout.

Get this from a library! Nonsmooth equations in optimization: regularity, calculus, methods, and applications.

[Diethard Klatte; Bernd Kummer] -- The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems.

1. Introduction. For large size equations F(x)=0, F: R n → R n, as the exact Newton's method will be prohibitively expensive and may not be justified when the iterative points are far away from the optimal solution, the inexact Newton's method becomes a very attractive choice, see.That is, we do not need to solve the Newton's equations (1) ∇F k s k =−F k accurately (∇F k is the.

This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and .