Recent Advances In Nonsmooth Optimization

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Recent Advances in Nonsmooth Optimization

Dingzhu Du,Liqun Qi,Robert S. Womersley
Recent Advances in Nonsmooth Optimization Book PDF

Author : Dingzhu Du,Liqun Qi,Robert S. Womersley
Publisher : World Scientific
Page : 488 pages
File Size : 44,6 Mb
Release : 1995
Category : Mathematics
ISBN : 9810222653

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Recent Advances in Nonsmooth Optimization by Dingzhu Du,Liqun Qi,Robert S. Womersley Pdf

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

Recent Advances in Nonsmooth Optimization

Ding-Zhu Du,Liqun Qi,Robert S Womersley
Recent Advances in Nonsmooth Optimization Book PDF

Author : Ding-Zhu Du,Liqun Qi,Robert S Womersley
Publisher : World Scientific
Page : 480 pages
File Size : 51,8 Mb
Release : 1995-09-20
Category : Mathematics
ISBN : 9789814500418

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Recent Advances in Nonsmooth Optimization by Ding-Zhu Du,Liqun Qi,Robert S Womersley Pdf

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure. This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization. Contents:Hybrid Methods for Finding the Nearest Euclidean Distance Matrix (S Al-Homidan & R Fletcher)On Generalized Differentiability of Optimal Solutions and Its Application to an Algorithm for Solving Bilevel Optimization Problems (S Dempe)An Elementary Rate of Convergence Proof for the Deep Cut Ellipsoid Algorithm (J B G Frenk & J Gromicho)On Second-Order Directional Derivatives in Nonsmooth Optimization (L R Huang & K F Ng)Sensitivity of Solutions in Nonlinear Programming Problems with Nonunique Multipliers (A B Levy & R T Rockafellar)Necessary and Sufficient Conditions for Solution Stability of Parametric Nonsmooth Equations (J-S Pang)Characterizations of Optimality for Homogeneous Programming Problems with Applications (A M Rubinov & B M Glover)A Globally Convergent Newton Method for Solving Variational Inequality Problems with Inequality Constraints (K Taji & M Fukushima)A Successive Approximation Quasi-Newton Process for Nonlinear Complementarity Problem (S-Z Zhou et al.)and other papers Readership: Students, academics and industry professionals. keywords:

Recent Advances in Optimization

Peter Gritzmann,Reiner Horst,Ekkehard Sachs,Rainer Tichatschke
Recent Advances in Optimization Book PDF

Author : Peter Gritzmann,Reiner Horst,Ekkehard Sachs,Rainer Tichatschke
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642590733

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Recent Advances in Optimization by Peter Gritzmann,Reiner Horst,Ekkehard Sachs,Rainer Tichatschke Pdf

This book presents recent theoretical and practical aspects in the field of optimization and convex analysis. The topics covered in this volume include: - Equilibrium models in economics. - Control theory and semi-infinite programming. - Ill-posed variational problems. - Global optimization. - Variational methods in image restoration. - Nonsmooth optimization. - Duality theory in convex and nonconvex optimization. - Methods for large scale problems.

Numerical Nonsmooth Optimization

Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri
Numerical Nonsmooth Optimization Book PDF

Author : Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri
Publisher : Springer Nature
Page : 696 pages
File Size : 49,6 Mb
Release : 2020-02-28
Category : Business & Economics
ISBN : 9783030349103

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Numerical Nonsmooth Optimization by Adil M. Bagirov,Manlio Gaudioso,Napsu Karmitsa,Marko M. Mäkelä,Sona Taheri Pdf

Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. Experts from around the world share their perspectives on specific aspects of numerical NSO. The book is divided into four parts, the first of which considers general methods including subgradient, bundle and gradient sampling methods. In turn, the second focuses on methods that exploit the problem’s special structure, e.g. algorithms for nonsmooth DC programming, VU decomposition techniques, and algorithms for minimax and piecewise differentiable problems. The third part considers methods for special problems like multiobjective and mixed integer NSO, and problems involving inexact data, while the last part highlights the latest advancements in derivative-free NSO. Given its scope, the book is ideal for students attending courses on numerical nonsmooth optimization, for lecturers who teach optimization courses, and for practitioners who apply nonsmooth optimization methods in engineering, artificial intelligence, machine learning, and business. Furthermore, it can serve as a reference text for experts dealing with nonsmooth optimization.

Recent Advances in Learning and Control

Vincent D. Blondel,Stephen P. Boyd,Hidenori Kimura
Recent Advances in Learning and Control Book PDF

Author : Vincent D. Blondel,Stephen P. Boyd,Hidenori Kimura
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 50,6 Mb
Release : 2008-01-11
Category : Technology & Engineering
ISBN : 9781848001541

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Recent Advances in Learning and Control by Vincent D. Blondel,Stephen P. Boyd,Hidenori Kimura Pdf

This volume is composed of invited papers on learning and control. The contents form the proceedings of a workshop held in January 2008, in Hyderabad that honored the 60th birthday of Doctor Mathukumalli Vidyasagar. The 14 papers, written by international specialists in the field, cover a variety of interests within the broader field of learning and control. The diversity of the research provides a comprehensive overview of a field of great interest to control and system theorists.

Recent Advances in Optimization and its Applications in Engineering

Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Recent Advances in Optimization and its Applications in Engineering Book PDF

Author : Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 55,5 Mb
Release : 2010-09-21
Category : Technology & Engineering
ISBN : 9783642125980

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Recent Advances in Optimization and its Applications in Engineering by Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels Pdf

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control

Marko M Makela,Pekka Neittaanmaki
Nonsmooth Optimization Analysis And Algorithms With Applications To Optimal Control Book PDF

Author : Marko M Makela,Pekka Neittaanmaki
Publisher : World Scientific
Page : 268 pages
File Size : 49,8 Mb
Release : 1992-05-07
Category : Mathematics
ISBN : 9789814522410

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Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control by Marko M Makela,Pekka Neittaanmaki Pdf

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Progress in Optimization

Andrew Eberhard,Robin Hill,Daniel Ralph,Barney M. Glover
Progress in Optimization Book PDF

Author : Andrew Eberhard,Robin Hill,Daniel Ralph,Barney M. Glover
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 47,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461332855

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Progress in Optimization by Andrew Eberhard,Robin Hill,Daniel Ralph,Barney M. Glover Pdf

Although the monograph Progress in Optimization I: Contributions from Aus tralasia grew from the idea of publishing a proceedings of the Fourth Optimiza tion Day, held in July 1997 at the Royal Melbourne Institute of Technology, the focus soon changed to a refereed volume in optimization. The intention is to publish a similar book annually, following each Optimization Day. The idea of having an annual Optimization Day was conceived by Barney Glover; the first of these Optimization Days was held in 1994 at the University of Ballarat. Barney hoped that such a yearly event would bring together the many, but widely dispersed, researchers in Australia who were publishing in optimization and related areas such as control. The first Optimization Day event was followed by similar conferences at The University of New South Wales (1995), The University of Melbourne (1996), the Royal Melbourne Institute of Technology (1997), and The University of Western Australia (1998). The 1999 conference will return to Ballarat University, being organized by Barney's long-time collaborator Alex Rubinov. In recent years the Optimization Day has been held in conjunction with other locally-held national or international conferences. This has widened the scope of the monograph with contributions not only coming from researchers in Australia and neighboring regions but also from their collaborators in Europe and North America.

Recent Advances in Nonlinear Analysis and Optimization with Applications

Savin Treanţă
Recent Advances in Nonlinear Analysis and Optimization with Applications Book PDF

Author : Savin Treanţă
Publisher : Cambridge Scholars Publishing
Page : 146 pages
File Size : 50,6 Mb
Release : 2020-09-30
Category : Mathematics
ISBN : 9781527560383

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Recent Advances in Nonlinear Analysis and Optimization with Applications by Savin Treanţă Pdf

This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

Recent Advances in Algorithmic Differentiation

Shaun Forth,Paul Hovland,Eric Phipps,Jean Utke,Andrea Walther
Recent Advances in Algorithmic Differentiation Book PDF

Author : Shaun Forth,Paul Hovland,Eric Phipps,Jean Utke,Andrea Walther
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 42,6 Mb
Release : 2012-07-30
Category : Mathematics
ISBN : 9783642300233

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Recent Advances in Algorithmic Differentiation by Shaun Forth,Paul Hovland,Eric Phipps,Jean Utke,Andrea Walther Pdf

The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineering as well as aspects of AD theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideas also to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms target the efficiency of matrix-operation derivatives, detection and exploitation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to be differentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics that require specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative computation. The description of these characteristics and of the techniques for successfully using AD should make the proceedings a valuable source of information for users of AD tools.

Advances in Nonlinear Programming

Ya-xiang Yuan
Advances in Nonlinear Programming Book PDF

Author : Ya-xiang Yuan
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461333357

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Advances in Nonlinear Programming by Ya-xiang Yuan Pdf

About 60 scientists and students attended the 96' International Conference on Nonlinear Programming, which was held September 2-5 at Institute of Compu tational Mathematics and Scientific/Engineering Computing (ICMSEC), Chi nese Academy of Sciences, Beijing, China. 25 participants were from outside China and 35 from China. The conference was to celebrate the 60's birthday of Professor M.J.D. Powell (Fellow of Royal Society, University of Cambridge) for his many contributions to nonlinear optimization. On behalf of the Chinese Academy of Sciences, vice president Professor Zhi hong Xu attended the opening ceremony of the conference to express his warm welcome to all the participants. After the opening ceremony, Professor M.J.D. Powell gave the keynote lecture "The use of band matrices for second derivative approximations in trust region methods". 13 other invited lectures on recent advances of nonlinear programming were given during the four day meeting: "Primal-dual methods for nonconvex optimization" by M. H. Wright (SIAM President, Bell Labs), "Interior point trajectories in semidefinite programming" by D. Goldfarb (Columbia University, Editor-in-Chief for Series A of Mathe matical Programming), "An approach to derivative free optimization" by A.

Nonlinear Optimization and Applications

Gianni Pillo,F. Giannessi
Nonlinear Optimization and Applications Book PDF

Author : Gianni Pillo,F. Giannessi
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 49,5 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781489902894

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Nonlinear Optimization and Applications by Gianni Pillo,F. Giannessi Pdf

This volume contains the edited texts of the lectures presented at the workshop on Nonlinear Optimization: Theory and Applications, held in Erice at the "G. Stampacchia" School of Mathematics of the "E. Majorana" International Centre for Scientific Culture June 13-21, 1995. The meeting was conceived to review and discuss recent advances and promising research trends concerning theory, algorithms, and innovative applications in the field This is a field of mathematics which is providing viable of Nonlinear Optimization. tools in engineering, in economics and in other applied sciences, and which is giving a great contribution also in the solution of the more practiced linear optimization prob lems. The meeting was attended by approximately 70 people from 18 countries. Besides the lectures, several formal and informal discussions took place. The result was a broad exposure providing a wide and deep understanding of the present research achievements in the field. We wish to express our appreciation for the active contributions of all the partici pants in the meeting. Our gratitude is due to the Ettore Majorana Center in Erice, which offered its facilities and stimulating environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massino Roma for the time spent in the organization of the workshop, and to Giuliana Cai for the careful typesetting of this volume.

Methods of Dynamic and Nonsmooth Optimization

Frank H. Clarke
Methods of Dynamic and Nonsmooth Optimization Book PDF

Author : Frank H. Clarke
Publisher : SIAM
Page : 95 pages
File Size : 42,8 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 1611970148

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Methods of Dynamic and Nonsmooth Optimization by Frank H. Clarke Pdf

Presents the elements of a unified approach to optimization based on "nonsmooth analysis," a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development, and this work therefore incorporates more recent results than those presented in 1986. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized.

Computational Techniques and Applications: CTAC 95

R L May,A K Easton
Computational Techniques and Applications CTAC 95 Book PDF

Author : R L May,A K Easton
Publisher : World Scientific
Page : 896 pages
File Size : 51,7 Mb
Release : 1996-08-30
Category : Electronic
ISBN : 9789814547284

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Computational Techniques and Applications: CTAC 95 by R L May,A K Easton Pdf

This proceedings contains seven invited papers and 100 contributed papers. The topics covered range from studies of theoretical aspects of computational methods through to simulations of large-scale industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will find much of interest in this volume. Contents:Some Case Studies in Industrial Mathematics (F R de Hoog & N I Robinson)An Inverse Problem in Environmental Protection (J M Barry)Computational Techniques for Structural Assessment of Bridges (T Chalko et al)A Computationally Fast Method to Model Thin Strip Rolling (A E Dixon & W Y D Yuen)Comparison of Boundary Element Representations for Potential Fields (M J Drumm & T G Phemister)On the Computation of Stability Limits for Fusion Experiments (P R Garabedian & H J Gardner)The Finite Lattice Method of Series Expansions (I Jensen et al)A Comparison of Finite Difference and Lagrangian-Stochastic Methods for Oil Slick Tracking (G D Lewis et al)Numerical Modelling Techniques for Simulating the Microwave Heating of Polymer Materials Inside a Ridge Waveguide (F Liu & I Turner)Transport of Mucus (A H Pincombe & G D Tansley)Iterative Schemes for Series Solutions to Laplacian Free Boundary Problems (W W Read et al)A Systematic Approach to Calibrating Hydrodynamic Numerical Models (M D Teubner et al)Computation of Turbulent Combustion Flows with a Finite-Element Method (Z Zhu & N Stokes)and other papers Readership: Scientists in numerical and computational methods, applied mathematics, computational physics, supercomputing/parallel processing and fluid mechanics. keywords:

Recent Advances in Optimal Structural Design

Scott A. Burns
Recent Advances in Optimal Structural Design Book PDF

Author : Scott A. Burns
Publisher : ASCE Publications
Page : 396 pages
File Size : 41,9 Mb
Release : 2002-01-01
Category : Technology & Engineering
ISBN : 0784475245

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Recent Advances in Optimal Structural Design by Scott A. Burns Pdf

Sponsored by the Technical Committee on Structural Design of the Technical Administrative Committee on Analysis and Computation of the Technical Activities Division of the Structural Engineering Institute of ASCE. This report documents the dramatic new developments in the field of structural optimization over the last two decades. Changes in both computational techniques and applications can be seen by developments in computational methods and solution algorithms, the role of optimization during the various stages of structural design, and the stochastic nature of design in relation to structural optimization. Topics include: Ømethods for discrete variable structural optimization; Ødecomposition methods in structural optimization; Østate of the art on the use of genetic algorithms in design of steel structures; Øconceptual design optimization of engineering structures; Øtopology and geometry optimization of trusses and frames; Øevolutionary structural optimization; Ødesign and optimization of semi-rigid framed structures; Øoptimized performance-based design for buildings; Ømulti-objective optimum design of seismic-resistant structures; and Øreliability- and cost-oriented optimal bridge maintenance planning. The book concludes with an extensive bibliography of journal papers on structural optimization published between 1987 and 1999.