Linear And Nonlinear Programming With Maple

Author : Paul E. Fishback
Publisher : CRC Press
Page : 413 pages
File Size : 44,5 Mb
Release : 2009-12-09
Category : Business & Economics
ISBN : 1420090658

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Linear and Nonlinear Programming with Maple by Paul E. Fishback Pdf

Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications Supplies enough mathematical rigor yet accessible enough for undergraduates Integrating a hands-on learning approach, a strong linear algebra focus, MapleTM software, and real-world applications, Linear and Nonlinear Programming with MapleTM: An Interactive, Applications-Based Approach introduces undergraduate students to the mathematical concepts and principles underlying linear and nonlinear programming. This text fills the gap between management science books lacking mathematical detail and rigor and graduate-level books on mathematical programming. Essential linear algebra tools Throughout the text, topics from a first linear algebra course, such as the invertible matrix theorem, linear independence, transpose properties, and eigenvalues, play a prominent role in the discussion. The book emphasizes partitioned matrices and uses them to describe the simplex algorithm in terms of matrix multiplication. This perspective leads to streamlined approaches for constructing the revised simplex method, developing duality theory, and approaching the process of sensitivity analysis. The book also discusses some intermediate linear algebra topics, including the spectral theorem and matrix norms. Maple enhances conceptual understanding and helps tackle problems Assuming no prior experience with Maple, the author provides a sufficient amount of instruction for students unfamiliar with the software. He also includes a summary of Maple commands as well as Maple worksheets in the text and online. By using Maple’s symbolic computing components, numeric capabilities, graphical versatility, and intuitive programming structures, students will acquire a deep conceptual understanding of major mathematical programming principles, along with the ability to solve moderately sized real-world applications. Hands-on activities that engage students Throughout the book, student understanding is evaluated through "waypoints" that involve basic computations or short questions. Some problems require paper-and-pencil calculations; others involve more lengthy calculations better suited for performing with Maple. Many sections contain exercises that are conceptual in nature and/or involve writing proofs. In addition, six substantial projects in one of the appendices enable students to solve challenging real-world problems.

Author : Mahmut Parlar
Publisher : Springer Science & Business Media
Page : 478 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461213567

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Interactive Operations Research with Maple by Mahmut Parlar Pdf

Interactive Operations Research with Maple: Methods and Models has two ob jectives: to provide an accelerated introduction to the computer algebra system Maple and, more importantly, to demonstrate Maple's usefulness in modeling and solving a wide range of operations research (OR) problems. This book is written in a format that makes it suitable for a one-semester course in operations research, management science, or quantitative methods. A nwnber of students in the departments of operations research, management science, oper ations management, industrial and systems engineering, applied mathematics and advanced MBA students who are specializing in quantitative methods or opera tions management will find this text useful. Experienced researchers and practi tioners of operations research who wish to acquire a quick overview of how Maple can be useful in solving OR problems will find this an excellent reference. Maple's mathematical knowledge base now includes calculus, linear algebra, ordinary and partial differential equations, nwnber theory, logic, graph theory, combinatorics, statistics and transform methods. Although Maple's main strength lies in its ability to perform symbolic manipulations, it also has a substantial knowledge of a large nwnber of nwnerical methods and can plot many different types of attractive-looking two-dimensional and three-dimensional graphs. After almost two decades of continuous improvement of its mathematical capabilities, Maple can now boast a user base of more than 300,000 academics, researchers and students in different areas of mathematics, science and engineering.

Author : David G. Luenberger
Publisher : Addison Wesley Publishing Company
Page : 522 pages
File Size : 40,6 Mb
Release : 1984
Category : Business & Economics
ISBN : UOM:39015039838787

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Linear and Nonlinear Programming by David G. Luenberger Pdf

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.

Author : Roger Hartley
Publisher : Unknown
Page : 232 pages
File Size : 41,5 Mb
Release : 1985
Category : Mathematics
ISBN : STANFORD:36105032240439

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Linear and Nonlinear Programming by Roger Hartley Pdf

Author : William P. Fox
Publisher : CRC Press
Page : 306 pages
File Size : 45,9 Mb
Release : 2020-12-08
Category : Mathematics
ISBN : 9781000196962

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Nonlinear Optimization by William P. Fox Pdf

Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Author : Stephen G. Nash,Ariela Sofer
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 744 pages
File Size : 53,6 Mb
Release : 1996
Category : Computers
ISBN : UOM:39076002096514

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Linear and Nonlinear Programming by Stephen G. Nash,Ariela Sofer Pdf

A complete and unified introduction to applications, theory and algorithms which contains modelling examples, computer based exercises and material on interior point methods and trust-region methods. Gives both numerical methods for optimisation and optomisation problems.

Author : Olvi L. Mangasarian
Publisher : SIAM
Page : 231 pages
File Size : 55,9 Mb
Release : 1994-01-01
Category : Mathematics
ISBN : 9780898713411

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Nonlinear Programming by Olvi L. Mangasarian Pdf

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.

Author : Katta G. Murty
Publisher : Unknown
Page : 708 pages
File Size : 44,9 Mb
Release : 1988
Category : Linear complementarity problem
ISBN : UOM:39015013062545

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Linear Complementarity, Linear and Nonlinear Programming by Katta G. Murty Pdf

Author : Vincent A. Sposito
Publisher : Wiley-Blackwell
Page : 290 pages
File Size : 44,8 Mb
Release : 1975
Category : Mathematics
ISBN : UOM:39015015600557

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Linear and Nonlinear Programming by Vincent A. Sposito Pdf

Linear programming; Further computational algorithms and topics in linear programming; Linear duality theory; Topics in linear programming and statistics; Saddle point optimality criteria of nonlinear programming problems; Saddle point characterization and quadratic programming; Geometric programming.

Author : Rajesh Kumar Arora
Publisher : CRC Press
Page : 454 pages
File Size : 52,9 Mb
Release : 2015-05-06
Category : Business & Economics
ISBN : 9781498721158

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Optimization by Rajesh Kumar Arora Pdf

Choose the Correct Solution Method for Your Optimization ProblemOptimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained and co

Author : Evar D. Nering,Albert W. Tucker
Publisher : Academic Press
Page : 618 pages
File Size : 48,6 Mb
Release : 1993
Category : Computers
ISBN : 0125154402

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Linear Programs and Related Problems by Evar D. Nering,Albert W. Tucker Pdf

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Author : Igor Griva,Stephen G. Nash,Ariela Sofer
Publisher : SIAM
Page : 743 pages
File Size : 46,9 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9780898717730

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Linear and Nonlinear Optimization by Igor Griva,Stephen G. Nash,Ariela Sofer Pdf

Provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects - discussing modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. The book includes several examples of realistic optimization models that address important applications. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. The book is designed to be flexible. It has a modular structure, and uses consistent notation and terminology throughout. It can be used in many different ways, in many different courses, and at many different levels of sophistication.

Author : Mordecai Avriel
Publisher : Courier Corporation
Page : 548 pages
File Size : 45,9 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 0486432270

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Nonlinear Programming by Mordecai Avriel Pdf

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.

Author : Waterloo Maple Incorporated
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461222149

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Maple V Programming Guide by Waterloo Maple Incorporated Pdf

Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. This manual describes the use of both numeric and symbolic expressions, the data types available, and the programming language statements in Maple. It shows how the system can be extended or customized through user defined routines and gives complete descriptions of the system's user interface and 2D and 3D graphics capabilities.

Author : William P. Fox,Robert Burks
Publisher : Springer Nature
Page : 498 pages
File Size : 51,7 Mb
Release : 2019-08-28
Category : Business & Economics
ISBN : 9783030205690

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Applications of Operations Research and Management Science for Military Decision Making by William P. Fox,Robert Burks Pdf

Based on many years of applied research, modeling and educating future decision makers, the authors have selected the critical set of mathematical modeling skills for decision analysis to include in this book. The book focuses on the model formulation and modeling building skills, as well as the technology to support decision analysis. The authors cover many of the main techniques that have been incorporated into their three-course sequence in mathematical modeling for decision making in the Department of Defense Analysis at the Naval Postgraduate School. The primary objective of this book is illustrative in nature. It begins with an introduction to mathematical modeling and a process for formally thinking about difficult problems, illustrating many scenarios and illustrative examples. The book incorporates the necessary mathematical foundations for solving these problems with military applications and related military processes to reinforce the applied nature of the mathematical modeling process.