Nonlinear Analysis And Optimization Ii PDF Download
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Author | : Jonathan Borwein |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2010-05-05 |
Genre | : Mathematics |
ISBN | : 0387312560 |
Download Convex Analysis and Nonlinear Optimization Book in PDF, ePub and Kindle
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.
Author | : Simeon Reich |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821848356 |
Download Nonlinear Analysis and Optimization II Book in PDF, ePub and Kindle
This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)
Author | : Themistocles M. Rassias |
Publisher | : Springer Nature |
Total Pages | : 484 |
Release | : 2021-02-26 |
Genre | : Mathematics |
ISBN | : 3030617327 |
Download Nonlinear Analysis and Global Optimization Book in PDF, ePub and Kindle
This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.
Author | : Savin Treanţă |
Publisher | : Cambridge Scholars Publishing |
Total Pages | : 146 |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 1527560384 |
Download Recent Advances in Nonlinear Analysis and Optimization with Applications Book in PDF, ePub and Kindle
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.
Author | : Andrzej Ruszczynski |
Publisher | : Princeton University Press |
Total Pages | : 463 |
Release | : 2011-09-19 |
Genre | : Mathematics |
ISBN | : 1400841054 |
Download Nonlinear Optimization Book in PDF, ePub and Kindle
Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization.
Author | : Alfred Auslender |
Publisher | : North Holland |
Total Pages | : 196 |
Release | : 1987 |
Genre | : Computers |
ISBN | : |
Download Nonlinear Analysis and Optimization Book in PDF, ePub and Kindle
This study collects the papers presented at the Nonlinear Analysis and Optimization conference held at the Center for Operations Research and Econometrics (CORE) in Louvain-la-Neuve, Belgium. It was the firm belief of the organizers of the meeting that there is a natural interaction between the methods used in nonlinear analysis and the problems encountered in optimization, and that gathering the papers into one book would be beneficial for both parties concerned. The papers are mainly concerned with the following themes: nonlinear analysis, sensitivity (stability) analysis and algorithms in nonlinear programming (for smooth, nonsmooth and global problems).
Author | : K. K. Choi |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2006-12-22 |
Genre | : Science |
ISBN | : 0387273069 |
Download Structural Sensitivity Analysis and Optimization 2 Book in PDF, ePub and Kindle
Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author | : Aryē Leizarowitz |
Publisher | : |
Total Pages | : |
Release | : 2010 |
Genre | : |
ISBN | : |
Download Nonlinear Analysis and Optimization Book in PDF, ePub and Kindle
Author | : Beltrami |
Publisher | : Academic Press |
Total Pages | : 256 |
Release | : 1970-02-28 |
Genre | : Computers |
ISBN | : 0080955738 |
Download An Algorithmic Approach to Nonlinear Analysis and Optimization Book in PDF, ePub and Kindle
An Algorithmic Approach to Nonlinear Analysis and Optimization
Author | : Amir Beck |
Publisher | : SIAM |
Total Pages | : 286 |
Release | : 2014-10-27 |
Genre | : Mathematics |
ISBN | : 1611973651 |
Download Introduction to Nonlinear Optimization Book in PDF, ePub and Kindle
This book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization?theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems?and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. Readers will find more than 170 theoretical, algorithmic, and numerical exercises that deepen and enhance the reader's understanding of the topics. The author includes offers several subjects not typically found in optimization books?for example, optimality conditions in sparsity-constrained optimization, hidden convexity, and total least squares. The book also offers a large number of applications discussed theoretically and algorithmically, such as circle fitting, Chebyshev center, the Fermat?Weber problem, denoising, clustering, total least squares, and orthogonal regression and theoretical and algorithmic topics demonstrated by the MATLAB? toolbox CVX and a package of m-files that is posted on the book?s web site.