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Traces And Emergence Of Nonlinear Programming
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Book Synopsis Traces and Emergence of Nonlinear Programming by : Giorgio Giorgi
Download or read book Traces and Emergence of Nonlinear Programming written by Giorgio Giorgi and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush's often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.
Book Synopsis Advances in Nonlinear Programming by : Ya-xiang Yuan
Download or read book Advances in Nonlinear Programming written by Ya-xiang Yuan and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Programming by : Richard Cottle
Download or read book Nonlinear Programming written by Richard Cottle and published by American Mathematical Soc.. This book was released on 1976 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Programming by : Mordecai Avriel
Download or read book Nonlinear Programming written by Mordecai Avriel and published by Courier Corporation. This book was released on 2003-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained optimization methods. 1976 edition. Includes 58 figures and 7 tables.
Book Synopsis Nonlinear Programming by : Olvi L. Mangasarian
Download or read book Nonlinear Programming written by Olvi L. Mangasarian and published by SIAM. This book was released on 1994-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions.
Book Synopsis The Mathematics of Nonlinear Programming by : Anthony L. Peressini
Download or read book The Mathematics of Nonlinear Programming written by Anthony L. Peressini and published by Springer. This book was released on 1993-06-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity. This is followed by material on basic numerical methods, least squares, the Karush-Kuhn-Tucker theorem, penalty functions, and Lagrange multipliers. The authors have aimed their presentation at the student who has a working knowledge of matrix algebra and advanced calculus, but has had no previous exposure to optimization.
Book Synopsis Nonlinear Programming by : Anthony V. Fiacco
Download or read book Nonlinear Programming written by Anthony V. Fiacco and published by SIAM. This book was released on 1990-01-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes the 'central' or 'dual' trajectory used by modern path following and primal/dual methods for convex / general linear programming.
Book Synopsis Nonlinear Programming by : Dimitri P. Bertsekas
Download or read book Nonlinear Programming written by Dimitri P. Bertsekas and published by Goodman Publishers. This book was released on 1999 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Optimization by : Francisco J. Aragón
Download or read book Nonlinear Optimization written by Francisco J. Aragón and published by Springer. This book was released on 2019-02-27 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on nonlinear optimization focuses on model building, real world problems, and applications of optimization models to natural and social sciences. Organized into two parts, this book may be used as a primary text for courses on convex optimization and non-convex optimization. Definitions, proofs, and numerical methods are well illustrated and all chapters contain compelling exercises. The exercises emphasize fundamental theoretical results on optimality and duality theorems, numerical methods with or without constraints, and derivative-free optimization. Selected solutions are given. Applications to theoretical results and numerical methods are highlighted to help students comprehend methods and techniques.
Book Synopsis Linear and Nonlinear Optimization by : Richard W. Cottle
Download or read book Linear and Nonlinear Optimization written by Richard W. Cottle and published by Springer. This book was released on 2017-06-11 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; Interior-Point Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises. The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at Stanford University. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs (which can be found in cited references). Another feature of this book is its inclusion of cultural and historical matters, most often appearing among the footnotes. "This book is a real gem. The authors do a masterful job of rigorously presenting all of the relevant theory clearly and concisely while managing to avoid unnecessary tedious mathematical details. This is an ideal book for teaching a one or two semester masters-level course in optimization – it broadly covers linear and nonlinear programming effectively balancing modeling, algorithmic theory, computation, implementation, illuminating historical facts, and numerous interesting examples and exercises. Due to the clarity of the exposition, this book also serves as a valuable reference for self-study." Professor Ilan Adler, IEOR Department, UC Berkeley "A carefully crafted introduction to the main elements and applications of mathematical optimization. This volume presents the essential concepts of linear and nonlinear programming in an accessible format filled with anecdotes, examples, and exercises that bring the topic to life. The authors plumb their decades of experience in optimization to provide an enriching layer of historical context. Suitable for advanced undergraduates and masters students in management science, operations research, and related fields." Michael P. Friedlander, IBM Professor of Computer Science, Professor of Mathematics, University of British Columbia
Book Synopsis Hybrid Systems, Optimal Control and Hybrid Vehicles by : Thomas J. Böhme
Download or read book Hybrid Systems, Optimal Control and Hybrid Vehicles written by Thomas J. Böhme and published by Springer. This book was released on 2017-02-01 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assembles new methods showing the automotive engineer for the first time how hybrid vehicle configurations can be modeled as systems with discrete and continuous controls. These hybrid systems describe naturally and compactly the networks of embedded systems which use elements such as integrators, hysteresis, state-machines and logical rules to describe the evolution of continuous and discrete dynamics and arise inevitably when modeling hybrid electric vehicles. They can throw light on systems which may otherwise be too complex or recondite. Hybrid Systems, Optimal Control and Hybrid Vehicles shows the reader how to formulate and solve control problems which satisfy multiple objectives which may be arbitrary and complex with contradictory influences on fuel consumption, emissions and drivability. The text introduces industrial engineers, postgraduates and researchers to the theory of hybrid optimal control problems. A series of novel algorithmic developments provides tools for solving engineering problems of growing complexity in the field of hybrid vehicles. Important topics of real relevance rarely found in text books and research publications—switching costs, sensitivity of discrete decisions and there impact on fuel savings, etc.—are discussed and supported with practical applications. These demonstrate the contribution of optimal hybrid control in predictive energy management, advanced powertrain calibration, and the optimization of vehicle configuration with respect to fuel economy, lowest emissions and smoothest drivability. Numerical issues such as computing resources, simplifications and stability are treated to enable readers to assess such complex systems. To help industrial engineers and managers with project decision-making, solutions for many important problems in hybrid vehicle control are provided in terms of requirements, benefits and risks.
Book Synopsis Applied Nonlinear Programming by : David Mautner Himmelblau
Download or read book Applied Nonlinear Programming written by David Mautner Himmelblau and published by McGraw-Hill Companies. This book was released on 1972 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Programming by : Willard I. Zangwill
Download or read book Nonlinear Programming written by Willard I. Zangwill and published by Prentice Hall. This book was released on 1969 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Mathematical Programming Theory by : Giorgio Giorgi
Download or read book Basic Mathematical Programming Theory written by Giorgio Giorgi and published by Springer Nature. This book was released on 2023-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.
Book Synopsis Linear and Nonlinear Programming by : David G. Luenberger
Download or read book Linear and Nonlinear Programming written by David G. Luenberger and published by Addison Wesley Publishing Company. This book was released on 1984 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a text covering the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate level for students who have a technical background in engineering, mathematics, or science.
Book Synopsis Nonlinear Programming by : Mokhtar S. Bazaraa
Download or read book Nonlinear Programming written by Mokhtar S. Bazaraa and published by . This book was released on 1979-01-18 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex analysis; convex sets; convex functions; optimality conditions and duality; the Fritz John and Kuhn-Tucker optimality conditions; constraint qualifications; lagrangian duality and saddle point optimality conditions; algorithms and their convergence; the concept of an algorithm; unconstrained optimization; penalty and Barrier functions; methods of feasible directions; linear complementarity, and quadratic, separable, and fractional programming; mathematical review; summary of convexity, optimality conditions, and duality.
Book Synopsis Integration of Constraint Programming, Artificial Intelligence, and Operations Research by : Louis-Martin Rousseau
Download or read book Integration of Constraint Programming, Artificial Intelligence, and Operations Research written by Louis-Martin Rousseau and published by Springer. This book was released on 2019-05-28 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Conference on Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2019, held in Thessaloniki, Greece, in June 2019. The 34 full papers presented together with 9 short papers were carefully reviewed and selected from 94 submissions. The conference brings together interested researchers from Constraint Programming (CP), Artificial Intelligence (AI), and Operations Research (OR) to present new techniques or applications and to provide an opportunity for researchers in one area to learn about techniques in the others. A main objective of this conference series is also to give these researchers the opportunity to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.
