Download or read book Lagrange type Functions in Constrained Non Convex Optimization written by Alexander M. Rubinov and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lagrange and penalty function methods provide a powerful approach, both as a theoretical tool and a computational vehicle, for the study of constrained optimization problems. However, for a nonconvex constrained optimization problem, the classical Lagrange primal-dual method may fail to find a mini mum as a zero duality gap is not always guaranteed. A large penalty parameter is, in general, required for classical quadratic penalty functions in order that minima of penalty problems are a good approximation to those of the original constrained optimization problems. It is well-known that penaity functions with too large parameters cause an obstacle for numerical implementation. Thus the question arises how to generalize classical Lagrange and penalty functions, in order to obtain an appropriate scheme for reducing constrained optimiza tion problems to unconstrained ones that will be suitable for sufficiently broad classes of optimization problems from both the theoretical and computational viewpoints. Some approaches for such a scheme are studied in this book. One of them is as follows: an unconstrained problem is constructed, where the objective function is a convolution of the objective and constraint functions of the original problem. While a linear convolution leads to a classical Lagrange function, different kinds of nonlinear convolutions lead to interesting generalizations. We shall call functions that appear as a convolution of the objective function and the constraint functions, Lagrange-type functions.
Download or read book Lagrangian Interaction written by Noel Doughty and published by CRC Press. This book was released on 2018-03-08 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.
Download or read book Computational Optimization written by Jong-Shi Pang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarity-constrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B- stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations.
Download or read book Operations Research in Transportation Systems written by A.S. Belenky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific monograph of a survey kind presented to the reader's attention deals with fundamental ideas and basic schemes of optimization methods that can be effectively used for solving strategic planning and operations manage ment problems related, in particular, to transportation. This monograph is an English translation of a considerable part of the author's book with a similar title that was published in Russian in 1992. The material of the monograph embraces methods of linear and nonlinear programming; nonsmooth and nonconvex optimization; integer programming, solving problems on graphs, and solving problems with mixed variables; rout ing, scheduling, solving network flow problems, and solving the transportation problem; stochastic programming, multicriteria optimization, game theory, and optimization on fuzzy sets and under fuzzy goals; optimal control of systems described by ordinary differential equations, partial differential equations, gen eralized differential equations (differential inclusions), and functional equations with a variable that can assume only discrete values; and some other methods that are based on or adjoin to the listed ones.
Download or read book High Performance Algorithms and Software for Nonlinear Optimization written by Gianni Di Pillo and published by Springer Science & Business Media. This book was released on 2003-09-30 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters included in this volume, which are authored by some of the most well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints: theoretical analysis, algorithmic developments, software evaluation, implementation issues, and applications. Audience: This volume would be useful to researchers and professionals working in applied mathematics, advanced engineering, computer sciences, as well as graduate students.
Download or read book Fundamentals of Structural Dynamics written by Keith D. Hjelmstad and published by Springer Nature. This book was released on 2022-01-05 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text closes the gap between traditional textbooks on structural dynamics and how structural dynamics is practiced in a world driven by commercial software, where performance-based design is increasingly important. The book emphasizes numerical methods, nonlinear response of structures, and the analysis of continuous systems (e.g., wave propagation). Fundamentals of Structural Dynamics: Theory and Computation builds the theory of structural dynamics from simple single-degree-of-freedom systems through complex nonlinear beams and frames in a consistent theoretical context supported by an extensive set of MATLAB codes that not only illustrate and support the principles, but provide powerful tools for exploration. The book is designed for students learning structural dynamics for the first time but also serves as a reference for professionals throughout their careers.
Download or read book Biomedical Image Registration written by Boštjan Likar and published by Springer Science & Business Media. This book was released on 2006-06-30 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Biomedical Image Registration. The 20 revised full papers and 18 revised poster papers presented were carefully reviewed and selected for inclusion in the book. The papers cover all areas of biomedical image registration; methods of registration, biomedical applications, and validation of registration.
Download or read book An Introduction to Modern Variational Techniques in Mechanics and Engineering written by Bozidar D. Vujanovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Atanackovic has good track record with Birkhauser: his "Theory of Elasticity" book (4072-X) has been well reviewed. * Current text has received two excellent pre-pub reviews. * May be used as textbook in advanced undergrad/beginning grad advanced dynamics courses in engineering, physics, applied math departments. *Also useful as self-study reference for researchers and practitioners. * Many examples and novel applications throughout. Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.
Download or read book Fundamentals of Structural Mechanics written by Keith D. Hjelmstad and published by Springer Science & Business Media. This book was released on 2007-03-14 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.
Download or read book Laws of Nature written by Xiaoping Hu and published by Xiaoping Hu. This book was released on 2023-03-30 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book provides new foundations for modern physics and natural philosophy. In the past 100+ years, modern physics has been based on Quantum Concept, Einstein’s Relativity Theory, and three equations (Schroedinger Equation, Klein-Gordon Equation, and Dirac Equation). Relativity Theory not only is melted into the bones of modern sciences, it has also deeply infiltrated liberal arts and philosophical thoughts of several generations. As such, Einstein was regarded world’s greatest scientist in human history. While modern physics has splendid achievements in the past 100 years, it is now at a dead pass, unable to solve many fundamental problems like graviton, strong force, double slit experiments, quantum entanglement, etc.. Worse, the latest astronomical discoveries by the Webb Telescope has brought strong evidences against the Big Bang Theory that is based on General Relativity. As such, the whole modern physics is at jeopardy. Through lifetime pondering and research, the author has found that modern physics is on many shaky grounds and finally rebuilt physics without them. This book is the culmination of his lifetime work, most of its contents are published for the firs time. Chapter 1 provides a brief history of human cognition, and discusses the criteria for discerning truth and fallacy. Chapter 2 rigorously invalidates both Special Relativity and General Relativity from four different grounds, pulling down all existing “evidences” that were claimed to support Relativity Theory. Chapter 3 reviews the fundamental concepts in physics and natural philosophy and makes necessary corrections. Chapter 4 gives a new theory on gravity and gravitons. Chapter 5 re-studies electromagnetics, provides a complex set of Maxwell Equations and a new theory on electromagnetic wave. Chapter 6 provides a new photon theory, which not only satisfies all existing knowledge about photon, but solves the problems of double slit experiment and quantum entanglement successfully. Chapter 7 derives Schroedinger Equation from two basic physics principles and prove that the Schroedinger Wave Function does not represent particle state probability, but its complex electric and magnetic field energies. Error-prong modern physics methods are also criticized. Chapter 8 provides a new particle theory, which not only solves the mystery of proton and neutron, but can successfully construct atoms of large atomic numbers. The new theory also reveals the secrets of strong force and weak force, as well as chemical bonds. Chapter 9 also rebuilds the foundation of thermodynamics by redefining entropy explicitly, so to greatly simplifies the basic thermodynamics equations. Many well-known results in thermodynamic and statistical physics are invalidated. Chapter 10 also rebuilds the foundation of astrophysics. First, the main cause of star’s light spectrum redshift is finally discovered. Second, the basic pressure and temperature equations inside stars are corrected. Third, new theories about stars, galaxies, and universe are provided which are consistent with observations and new physics theories in this book. Fourth, the true energy source in nuclear fission and fusion is discovered. Chapter 11 discusses a few important things about life. Chapter 12 discusses a few things that face human in the near future. Appendix provides a comprehensive discussion on redshifts of star light spectrum, and finally prove that quantum loss redshift is the main cause of star light spectrum redshift. Appendix B proves that if Special Relativity is correct, then General Relativity is not. It also provides a simple, closed form solution for photon’s motion in gravity field. While the author cannot guarantee correctness of everything in the book, the new theories overcome the contradictions of existing ones and explain many more things that existing ones could not. The most important thing is all the theories in the book are mutually consistent and therefore re-enforce each other. As such, the author thinks that the GUT and TOE problems that physicists have dreamed along are now closed.
Download or read book Artificial Evolution written by Pierre Collet and published by Springer. This book was released on 2003-08-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Evolution Arti?cielle cycle of conferences was originally initiated as a forum for the French-speaking evolutionary computation community. Previous EA m- tings were held in Toulouse (EA’94), Brest (EA’95, LNCS 1063), Nˆ?mes (EA’97, LNCS 1363), Dunkerque (EA’99, LNCS 1829), and ?nally, EA 2001 was hosted by the Universit ́e de Bourgogne in the small town of Le Creusot, in an area of France renowned for its excellent wines. However, the EA conferences have been receiving more and more papers from the international community: this conference can be considered fully internat- nal, with 39submissions from non-francophonic countries on all ?ve continents, out of a total of 68. Out of these 68 papers, only 28 were presented orally (41%) due to the formula of the conference (single session with presentations of 30 minutes) that all participants seem to appreciate a lot. The Organizing Committee wishes to thank the members of the International Program Committee for their hard work (mainly due to the large number of submissions) and for the service they rendered to the community by ensuring the high scienti?c content of the papers presented. Actually, the overall quality of the papers presented was very high and all 28 presentations are included in this volume, grouped in 8 sections which more or less re?ect the organization of the oral session: 1. Invited Paper: P. Bentley gave a great talk on his classi?cation of int- disciplinary collaborations, and showed us some of his work with musicians and biologists.
Download or read book Introduction to Methods for Nonlinear Optimization written by Luigi Grippo and published by Springer Nature. This book was released on 2023-05-27 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two main objectives: • to provide a concise introduction to nonlinear optimization methods, which can be used as a textbook at a graduate or upper undergraduate level; • to collect and organize selected important topics on optimization algorithms, not easily found in textbooks, which can provide material for advanced courses or can serve as a reference text for self-study and research. The basic material on unconstrained and constrained optimization is organized into two blocks of chapters: • basic theory and optimality conditions • unconstrained and constrained algorithms. These topics are treated in short chapters that contain the most important results in theory and algorithms, in a way that, in the authors’ experience, is suitable for introductory courses. A third block of chapters addresses methods that are of increasing interest for solving difficult optimization problems. Difficulty can be typically due to the high nonlinearity of the objective function, ill-conditioning of the Hessian matrix, lack of information on first-order derivatives, the need to solve large-scale problems. In the book various key subjects are addressed, including: exact penalty functions and exact augmented Lagrangian functions, non monotone methods, decomposition algorithms, derivative free methods for nonlinear equations and optimization problems. The appendices at the end of the book offer a review of the essential mathematical background, including an introduction to convex analysis that can make part of an introductory course.
Download or read book Gauge Theory and Defects in Solids written by D.G.B. Edelen and published by Elsevier. This book was released on 2012-12-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new series Mechanics and Physics of Discrete Systems aims to provide a coherent picture of the modern development of discrete physical systems. Each volume will offer an orderly perspective of disciplines such as molecular dynamics, crystal mechanics and/or physics, dislocation, etc. Emphasized in particular are the fundamentals of mechanics and physics that play an essential role in engineering applications.Volume 1, Gauge Theory and Defects in Solids, presents a detailed development of a rational theory of the dynamics of defects and damage in solids. Solutions to field equations are used to determine stresses, dislocation densities and currents that arise from histories of loading of boundaries of bodies. Analysed in detail is a gauge theory with a gauge group that is not semi-simple, and whose action occurs at the classical macroscopic level. Yang-Mills theory is applied where the state variables are elastic displacements in solids, determination of mechanical and electromagnetic observables by choice of gauge conditions is demonstrated, and practices of classical dislocation theory are derived from first principles.
Download or read book Applied Operational Research written by Kaveh Sheibani and published by ORLAB Analytics. This book was released on 2010-08-25 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings gather contributions presented at the 2nd International Conference on Applied Operational Research (ICAOR 2010) in Turku, Finland, August 25-27, 2010, published in the series Lecture Notes in Management Science (LNMS). The conference covers all aspects of Operational Research and Management Science (OR/MS) with a particular emphasis on applications.
Download or read book Symmetries of Nature written by Klaus Mainzer and published by Walter de Gruyter. This book was released on 2013-12-02 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics and Control of Mechanical Systems The Falling Cat and Related Problems written by Michael J. Enos and published by American Mathematical Soc.. This book was released on 1993 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of papers presented at the Fields Institute workshop, ``The Falling Cat and Related Problems,'' held in March 1992. The theme of the workshop was the application of methods from geometric mechanics and mathematical control theory to problems in the dynamics and control of freely rotating systems of coupled rigid bodies and related nonholonomic mechanical systems. This book will prove useful in providing insight into this new and exciting area of research.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2009 with total page 1640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
