matrix algorithms in matlab

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Matrix Algorithms In Matlab

Author : Ong U. Routh
ISBN : 9780128038697
Genre : Mathematics
File Size : 68. 84 MB
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Matrix Algorithms in MATLAB focuses on the MATLAB code implementations of matrix algorithms. The MATLAB codes presented in the book are tested with thousands of runs of MATLAB randomly generated matrices, and the notation in the book follows the MATLAB style to ensure a smooth transition from formulation to the code, with MATLAB codes discussed in this book kept to within 100 lines for the sake of clarity. The book provides an overview and classification of the interrelations of various algorithms, as well as numerous examples to demonstrate code usage and the properties of the presented algorithms. Despite the wide availability of computer programs for matrix computations, it continues to be an active area of research and development. New applications, new algorithms, and improvements to old algorithms are constantly emerging. Presents the first book available on matrix algorithms implemented in real computer code Provides algorithms covered in three parts, the mathematical development of the algorithm using a simple example, the code implementation, and then numerical examples using the code Allows readers to gain a quick understanding of an algorithm by debugging or reading the source code Includes downloadable codes on an accompanying companion website, www.matrixalgorithmsinmatlab.com, that can be used in other software development

Introduction To Genetic Algorithms

Author : S.N. Sivanandam
ISBN : 9783540731900
Genre : Mathematics
File Size : 85. 34 MB
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This book offers a basic introduction to genetic algorithms. It provides a detailed explanation of genetic algorithm concepts and examines numerous genetic algorithm optimization problems. In addition, the book presents implementation of optimization problems using C and C++ as well as simulated solutions for genetic algorithm problems using MATLAB 7.0. It also includes application case studies on genetic algorithms in emerging fields.

Algorithm Collections For Digital Signal Processing Applications Using Matlab

Author : E.S. Gopi
ISBN : 9781402064104
Genre : Technology & Engineering
File Size : 86. 29 MB
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The Algorithms such as SVD, Eigen decomposition, Gaussian Mixture Model, HMM etc. are presently scattered in different fields. There remains a need to collect all such algorithms for quick reference. Also there is the need to view such algorithms in application point of view. This book attempts to satisfy the above requirement. The algorithms are made clear using MATLAB programs.

The Structural Representation Of Proximity Matrices With Matlab

Author : Lawrence Hubert
ISBN : 9780898716078
Genre : Computers
File Size : 68. 15 MB
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The Structural Representation of Proximity Matrices with MATLAB presents and demonstrates the use of functions (by way of M-files) within a MATLAB computational environment to effect a variety of structural representations for the proximity information that is assumed to be available on a set of objects. The representations included in the book have been developed primarily in the behavioral sciences and applied statistical literature (e.g., in psychometrics and classification), although interest in these topics now extends more widely to such fields as bioinformatics and chemometrics. Throughout the book, two kinds of proximity information are analyzed: one-mode and two-mode. One-mode proximity data are defined between the objects from a single set and are usually given in the form of a square symmetric matrix; two-mode proximity data are defined between the objects from two distinct sets and are given in the form of a rectangular matrix. In addition, there is typically the flexibility to allow the additive fitting of multiple structures to either the given one- or two-mode proximity information.

Fuzzy Image Processing And Applications With Matlab

Author : Tamalika Chaira
ISBN : 9781439807095
Genre : Technology & Engineering
File Size : 50. 17 MB
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In contrast to classical image analysis methods that employ "crisp" mathematics, fuzzy set techniques provide an elegant foundation and a set of rich methodologies for diverse image-processing tasks. However, a solid understanding of fuzzy processing requires a firm grasp of essential principles and background knowledge. Fuzzy Image Processing and Applications with MATLAB® presents the integral science and essential mathematics behind this exciting and dynamic branch of image processing, which is becoming increasingly important to applications in areas such as remote sensing, medical imaging, and video surveillance, to name a few. Many texts cover the use of crisp sets, but this book stands apart by exploring the explosion of interest and significant growth in fuzzy set image processing. The distinguished authors clearly lay out theoretical concepts and applications of fuzzy set theory and their impact on areas such as enhancement, segmentation, filtering, edge detection, content-based image retrieval, pattern recognition, and clustering. They describe all components of fuzzy, detailing preprocessing, threshold detection, and match-based segmentation. Minimize Processing Errors Using Dynamic Fuzzy Set Theory This book serves as a primer on MATLAB and demonstrates how to implement it in fuzzy image processing methods. It illustrates how the code can be used to improve calculations that help prevent or deal with imprecision—whether it is in the grey level of the image, geometry of an object, definition of an object’s edges or boundaries, or in knowledge representation, object recognition, or image interpretation. The text addresses these considerations by applying fuzzy set theory to image thresholding, segmentation, edge detection, enhancement, clustering, color retrieval, clustering in pattern recognition, and other image processing operations. Highlighting key ideas, the authors present the experimental results of their own new fuzzy approaches and those suggested by different authors, offering data and insights that will be useful to teachers, scientists, and engineers, among others.

Engineering And Scientific Computations Using Matlab

Author : Sergey E. Lyshevski
ISBN : 0471723851
Genre : Computers
File Size : 36. 16 MB
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Master MATLAB(r) step-by-step The MATLAB-- "MATrix LABoratory"--computational environment offersa rich set of capabilities to efficiently solve a variety ofcomplex analysis, simulation, and optimization problems. Flexible,powerful, and relatively easy to use, the MATLAB environment hasbecome a standard cost-effective tool within the engineering,science, and technology communities. Excellent as a self-teachingguide for professionals as well as a textbook for students,Engineering and Scientific Computations Using MATLAB helps youfully understand the MATLAB environment, build your skills, andapply its features to a wide range of applications. Going beyond traditional MATLAB user manuals and college texts,Engineering and Scientific Computations Using MATLAB guides youthrough the most important aspects and basics of MATLAB programmingand problem-solving from fundamentals to practice. Augmenting itsdiscussion with a wealth of practical worked-out examples andqualitative illustrations, this book demonstrates MATLAB'scapabilities and offers step-by-step instructions on how to applythe theory to a practical real-world problem. In particular, thebook features: * Coverage of a variety of complex physical and engineering systemsdescribed by nonlinear differential equations * Detailed application of MATLAB to electromechanical systems MATLAB files, scripts, and statements, as well as SIMULINK modelswhich can be easily modified for application-specific problemsencountered in practice Readable, user-friendly, and comprehensivein scope this is a welcome introduction to MATLAB for those new tothe program and an ideal companion for engineers seeking in-depthmastery of the high-performance MATLAB environment.

Scientific Computing With Matlab

Author : Alfio Quarteroni
ISBN : 3540443630
Genre : Science
File Size : 31. 69 MB
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This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how tonbsp;compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for thenbsp;solution of differential equations. To make the presentation concrete and appealing, the programming environmentnbsp;Matlab is adopted as a faithful companion. All the algorithms introduced throughout the booknbsp;are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problemsnbsp;raised through exercises and examples, oftennbsp;originating from specific applications. A specific section is devotednbsp;to subjectsnbsp;which were not addressed in the book andnbsp;indicatenbsp;the bibliographical references for a more comprehensive treatment of the material. nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;

Robotics Vision And Control

Author : Peter Corke
ISBN : 9783642201431
Genre : Technology & Engineering
File Size : 26. 75 MB
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The practice of robotics and computer vision both involve the application of computational algorithms to data. Over the fairly recent history of the fields of robotics and computer vision a very large body of algorithms has been developed. However this body of knowledge is something of a barrier for anybody entering the field, or even looking to see if they want to enter the field — What is the right algorithm for a particular problem?, and importantly, How can I try it out without spending days coding and debugging it from the original research papers? The author has maintained two open-source MATLAB Toolboxes for more than 10 years: one for robotics and one for vision. The key strength of the Toolboxes provide a set of tools that allow the user to work with real problems, not trivial examples. For the student the book makes the algorithms accessible, the Toolbox code can be read to gain understanding, and the examples illustrate how it can be used —instant gratification in just a couple of lines of MATLAB code. The code can also be the starting point for new work, for researchers or students, by writing programs based on Toolbox functions, or modifying the Toolbox code itself. The purpose of this book is to expand on the tutorial material provided with the toolboxes, add many more examples, and to weave this into a narrative that covers robotics and computer vision separately and together. The author shows how complex problems can be decomposed and solved using just a few simple lines of code, and hopefully to inspire up and coming researchers. The topics covered are guided by the real problems observed over many years as a practitioner of both robotics and computer vision. It is written in a light but informative style, it is easy to read and absorb, and includes a lot of Matlab examples and figures. The book is a real walk through the fundamentals of robot kinematics, dynamics and joint level control, then camera models, image processing, feature extraction and epipolar geometry, and bring it all together in a visual servo system. Additional material is provided at http://www.petercorke.com/RVC

Introduction To Scientific Computing

Author : Charles F. Van Loan
ISBN : 0139491570
Genre : Computers
File Size : 70. 51 MB
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Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate theconnection between continuous mathematics and computing. MATLAB 5 is usedthroughout to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a “hard” problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a “proof by MATLAB” experiment to bolster intuition; 3)at least one recursive algorithm; and 4)at least one connection to a real-world application. The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing.Power Tools of the Trade. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear Systems. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The Initial Value Problem.For engineers and mathematicians.

Matrix Theory And Applications With Matlab

Author : Darald J. Hartfiel
ISBN : 1584881089
Genre : Mathematics
File Size : 26. 60 MB
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Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in the text. All of the material is presented from a matrix point of view with enough rigor for students to learn to compose arguments and proofs and adjust the material to cover other problems. The treatment includes optional subsections covering applications, and the final chapters move beyond basic matrix theory to discuss more advanced topics, such as decompositions, positive definite matrices, graphics, and topology. Filled with illustrations, examples, and exercises that reinforce understanding, Matrix Theory and Applications with MATLAB allows readers to experiment and visualize results in a way that no other text does. Its rigor, use of MATLAB, and focus on applications better prepares them to use the material in their future work and research, to extend the material, and perhaps obtain new results of their own.

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