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Author : Rizwan Butt
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book Applied Linear Algebra and Optimization Using MATLAB written by Rizwan Butt and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael C. Ferris
Publisher : SIAM
ISBN 13 : 9780898718775
Total Pages : 277 pages
Book Rating : 4.7/5 (187 download)
Download or read book Linear Programming with MATLAB written by Michael C. Ferris and published by SIAM. This book was released on 2007-01-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained introduction to linear programming using MATLAB software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later chapters, the authors discuss quadratic programming, linear complementarity, interior-point methods, and selected applications of linear programming to approximation and classification problems. Exercises are interwoven with the theory presented in each chapter, and two appendices provide additional information on linear algebra, convexity, nonlinear functions, and on available MATLAB commands, respectively. Readers can access MATLAB codes and associated mex files at a Web site maintained by the authors. Only a basic knowledge of linear algebra and calculus is required to understand this textbook, which is geared toward junior and senior-level undergraduate students, first-year graduate students, and researchers unfamiliar with linear programming.
Author : Nikolaos Ploskas
Publisher : Springer
ISBN 13 : 3319659197
Total Pages : 646 pages
Book Rating : 4.3/5 (196 download)
Download or read book Linear Programming Using MATLAB® written by Nikolaos Ploskas and published by Springer. This book was released on 2017-10-28 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.
Author : Quaintance Jocelyn
Publisher : World Scientific
ISBN 13 : 9811216584
Total Pages : 896 pages
Book Rating : 4.8/5 (112 download)
Download or read book Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning written by Quaintance Jocelyn and published by World Scientific. This book was released on 2020-03-16 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of various nonlinear optimization methods, including but not limited to gradient decent, the Karush-Kuhn-Tucker (KKT) conditions, Lagrangian duality, alternating direction method of multipliers (ADMM), and the kernel method. These methods are carefully applied to hard margin SVM, soft margin SVM, kernel PCA, ridge regression, lasso regression, and elastic-net regression. Matlab programs implementing these methods are included.
Author : William Ford
Publisher : Academic Press
ISBN 13 : 0123947847
Total Pages : 629 pages
Book Rating : 4.1/5 (239 download)
Download or read book Numerical Linear Algebra with Applications written by William Ford and published by Academic Press. This book was released on 2014-09-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra Detailed explanations and examples A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra Examples from engineering and science applications
Author : Rizwan Butt
Publisher : Alpha Science International, Limited
ISBN 13 : 9781783322022
Total Pages : 0 pages
Book Rating : 4.3/5 (22 download)
Download or read book An Introduction to Applied Numerical Linear Algebra Using MATLAB written by Rizwan Butt and published by Alpha Science International, Limited. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for engineers, mathematician, computer scientists, and physicists or for use as a textbook in computational courses, Applied Numerical Linear Algebra Using MATLAB, provides the reader with numerous applications, m-files, and practical examples to solve problems. Balancing theoretical concepts with computational speed and accuracy, the book includes numerous short programs in MATLAB that can be used to solve problems involving systems of linear equations, matrices, vectors, approximations, eigenvalue, computer graphics, and more. The author emphasizes the basic ideas of numerical techniques and the uses of modern mathematical software (MATLAB) rather than relying only on complex mathematical derivations. The book is accompanied by a CD-ROM with all the figures, codes, solutions, appendices, an introduction to MATLAB commands, and m-files for all the programs.
Author : P. Venkataraman
Publisher : John Wiley & Sons
ISBN 13 : 047008488X
Total Pages : 546 pages
Book Rating : 4.4/5 (7 download)
Download or read book Applied Optimization with MATLAB Programming written by P. Venkataraman and published by John Wiley & Sons. This book was released on 2009-03-23 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology/Engineering/Mechanical Provides all the tools needed to begin solving optimization problems using MATLAB® The Second Edition of Applied Optimization with MATLAB® Programming enables readers to harness all the features of MATLAB® to solve optimization problems using a variety of linear and nonlinear design optimization techniques. By breaking down complex mathematical concepts into simple ideas and offering plenty of easy-to-follow examples, this text is an ideal introduction to the field. Examples come from all engineering disciplines as well as science, economics, operations research, and mathematics, helping readers understand how to apply optimization techniques to solve actual problems. This Second Edition has been thoroughly revised, incorporating current optimization techniques as well as the improved MATLAB® tools. Two important new features of the text are: Introduction to the scan and zoom method, providing a simple, effective technique that works for unconstrained, constrained, and global optimization problems New chapter, Hybrid Mathematics: An Application, using examples to illustrate how optimization can develop analytical or explicit solutions to differential systems and data-fitting problems Each chapter ends with a set of problems that give readers an opportunity to put their new skills into practice. Almost all of the numerical techniques covered in the text are supported by MATLAB® code, which readers can download on the text's companion Web site www.wiley.com/go/venkat2e and use to begin solving problems on their own. This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems.
Author : Philip E. Gill
Publisher : SIAM
ISBN 13 : 161197657X
Total Pages : 448 pages
Book Rating : 4.6/5 (119 download)
Download or read book Numerical Linear Algebra and Optimization written by Philip E. Gill and published by SIAM. This book was released on 2021-05-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.
Author :
Publisher : CRC Press
ISBN 13 : 1420082515
Total Pages : 434 pages
Book Rating : 4.4/5 (2 download)
Download or read book Solving Applied Mathematical Problems with MATLAB written by and published by CRC Press. This book was released on 2008-11-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experi
Author : Richard Bronson
Publisher : Academic Press
ISBN 13 : 9780080922256
Total Pages : 432 pages
Book Rating : 4.9/5 (222 download)
Download or read book Matrix Methods written by Richard Bronson and published by Academic Press. This book was released on 2008-09-04 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems. Applications like Markov chains, graph theory and Leontief Models are placed in early chapters Readability- The prerequisite for most of the material is a firm understanding of algebra New chapters on Linear Programming and Markov Chains Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB
Author : Dingyu Xue
Publisher : CRC Press
ISBN 13 : 1498757782
Total Pages : 586 pages
Book Rating : 4.4/5 (987 download)
Download or read book Scientific Computing with MATLAB written by Dingyu Xue and published by CRC Press. This book was released on 2016-02-17 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.
Author : Dingyu Xue
Publisher : de Gruyter
ISBN 13 : 9783110663648
Total Pages : 10 pages
Book Rating : 4.6/5 (636 download)
Download or read book Solving Optimization Problems with MATLAB written by Dingyu Xue and published by de Gruyter. This book was released on 2020-05-30 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focused on solving equations and optimization problems with MATLAB. The topics on unconstrained optimization, linear and quadratic programming, nonlinear constrained optimization problems, mixed integer programming, multi-objective programming, dynamic programming and intelligent optimization methods are covered. With extensive exercises, the book sets up a new viewpoint for the readers in understanding linear algebra problems.
Author : Eihab B. M. Bashier
Publisher : CRC Press
ISBN 13 : 0429666829
Total Pages : 349 pages
Book Rating : 4.4/5 (296 download)
Download or read book Practical Numerical and Scientific Computing with MATLAB® and Python written by Eihab B. M. Bashier and published by CRC Press. This book was released on 2020-03-18 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Numerical and Scientific Computing with MATLAB® and Python concentrates on the practical aspects of numerical analysis and linear and non-linear programming. It discusses the methods for solving different types of mathematical problems using MATLAB and Python. Although the book focuses on the approximation problem rather than on error analysis of mathematical problems, it provides practical ways to calculate errors. The book is divided into three parts, covering topics in numerical linear algebra, methods of interpolation, numerical differentiation and integration, solutions of differential equations, linear and non-linear programming problems, and optimal control problems. This book has the following advantages: It adopts the programming languages, MATLAB and Python, which are widely used among academics, scientists, and engineers, for ease of use and contain many libraries covering many scientific and engineering fields. It contains topics that are rarely found in other numerical analysis books, such as ill-conditioned linear systems and methods of regularization to stabilize their solutions, nonstandard finite differences methods for solutions of ordinary differential equations, and the computations of the optimal controls. It provides a practical explanation of how to apply these topics using MATLAB and Python. It discusses software libraries to solve mathematical problems, such as software Gekko, pulp, and pyomo. These libraries use Python for solutions to differential equations and static and dynamic optimization problems. Most programs in the book can be applied in versions prior to MATLAB 2017b and Python 3.7.4 without the need to modify these programs. This book is aimed at newcomers and middle-level students, as well as members of the scientific community who are interested in solving math problems using MATLAB or Python.
Author : Erwin Kleinfeld
Publisher : Addison-Wesley Longman
ISBN 13 : 9780130609458
Total Pages : 228 pages
Book Rating : 4.6/5 (94 download)
Download or read book Understanding Linear Algebra Using MATLAB written by Erwin Kleinfeld and published by Addison-Wesley Longman. This book was released on 2001 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses in Introductory Linear Algebra. This book focuses on providing projects and problem sets and the MATLAB code needed to solve these materials.
Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319171879
Total Pages : 932 pages
Book Rating : 4.3/5 (191 download)
Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Author : Mircea Ancău
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527540987
Total Pages : 291 pages
Book Rating : 4.5/5 (275 download)
Download or read book Practical Optimization with MATLAB written by Mircea Ancău and published by Cambridge Scholars Publishing. This book was released on 2019-10-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-follow guide provides academics and industrial engineers with a state-of-the-art numerical approach to the most frequent technical and economical optimization methods. In an engaging manner, it provides the reader with not only a systematic and comprehensive study, but also with necessary and directly implementable code written in the versatile and readily available platform Matlab. The book offers optimization methods for univariate and multivariate constrained or unconstrained functions, general optimization methods and multicriteria optimization methods; provides intuitively, step-by-step explained sample Matlab code, that can be easily adjusted to meet individual requirements; and uses a clear, concise presentation style, which will be suited to readers even without a programming background, as well as to students preparing for examinations in optimization methods.
Author : Tobin A. Driscoll
Publisher : SIAM
ISBN 13 : 0898717663
Total Pages : 105 pages
Book Rating : 4.8/5 (987 download)
Download or read book Learning MATLAB written by Tobin A. Driscoll and published by SIAM. This book was released on 2009-01-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to the MATLAB programming language for students and professionals in mathematics, science, and engineering, this book can be used as the primary text for a short course, as a companion textbook for a numerical computing course, or for self-study.
