Numerical Linear Algebra with Applications Book

Numerical Linear Algebra with Applications


  • Author : William Ford
  • Publisher : Academic Press
  • Release Date : 2014-09-14
  • Genre: Mathematics
  • Pages : 628
  • ISBN 10 : 9780123947840

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Numerical Linear Algebra with Applications 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

Numerical Linear Algebra for Applications in Statistics Book

Numerical Linear Algebra for Applications in Statistics


  • Author : James E. Gentle
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 221
  • ISBN 10 : 9781461206231

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Numerical Linear Algebra for Applications in Statistics Excerpt :

Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, factorisations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for a first course in statistical computing or as supplementary text for various courses that emphasise computations.

Numerical Linear Algebra and Applications  Second Edition Book
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Numerical Linear Algebra and Applications Second Edition


  • Author : Biswa Nath Datta
  • Publisher : SIAM
  • Release Date : 2010
  • Genre: Algebras, Linear
  • Pages : 530
  • ISBN 10 : 9780898717655

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Numerical Linear Algebra and Applications Second Edition Excerpt :

Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.

Numerical Linear Algebra  Theory and Applications Book

Numerical Linear Algebra Theory and Applications


  • Author : Larisa Beilina
  • Publisher : Springer
  • Release Date : 2017-09-19
  • Genre: Mathematics
  • Pages : 450
  • ISBN 10 : 9783319573045

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Numerical Linear Algebra Theory and Applications Excerpt :

This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigenproblems. Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level.

Applied Numerical Linear Algebra Book

Applied Numerical Linear Algebra


  • Author : James W. Demmel
  • Publisher : SIAM
  • Release Date : 1997-08-01
  • Genre: Mathematics
  • Pages : 419
  • ISBN 10 : 9780898713893

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Applied Numerical Linear Algebra Excerpt :

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Numerical Linear Algebra Book

Numerical Linear Algebra


  • Author : Holger Wendland
  • Publisher : Cambridge University Press
  • Release Date : 2017-11-30
  • Genre: Computers
  • Pages : 418
  • ISBN 10 : 9781107147133

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Numerical Linear Algebra Excerpt :

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

Matrix Algebra Book
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Matrix Algebra


  • Author : James E. Gentle
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-07-27
  • Genre: Computers
  • Pages : 528
  • ISBN 10 : 9780387708720

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Matrix Algebra Excerpt :

This much-needed work presents, among other things, the relevant aspects of the theory of matrix algebra for applications in statistics. Written in an informal style, it addresses computational issues and places more emphasis on applications than existing texts.

Linear Algebra with Applications  Alternate Edition Book

Linear Algebra with Applications Alternate Edition


  • Author : Gareth Williams
  • Publisher : Jones & Bartlett Learning
  • Release Date : 2011-08-24
  • Genre: Mathematics
  • Pages : 532
  • ISBN 10 : 9780763782498

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Linear Algebra with Applications Alternate Edition Excerpt :

Part of the new Digital Filmmaker Series! Digital Filmmaking: An Introductionis the first book in the newDigital Filmmaker Series. Designed for an introductory level course in digital filmmaking, it is intended for anyone who has an interest in telling stories with pictures and sound and won't assume any familiarity with equipment or concepts on the part of the student. In addition to the basics of shooting and editing, different story forms are introduced from documentary and live events through fictional narratives. Each of the topics is covered in enough depth to allow anyone with a camera and a computer to begin creating visual projects of quality.

Numerical Linear Algebra Book

Numerical Linear Algebra


  • Author : Lloyd N. Trefethen
  • Publisher : SIAM
  • Release Date : 1997-01-01
  • Genre: Mathematics
  • Pages : 373
  • ISBN 10 : 0898719577

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Numerical Linear Algebra Excerpt :

A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.

Numerical Linear Algebra Book

Numerical Linear Algebra


  • Author : V. SUNDARAPANDIAN
  • Publisher : PHI Learning Pvt. Ltd.
  • Release Date : 2008-04-23
  • Genre: Mathematics
  • Pages : 616
  • ISBN 10 : 9788120334366

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Numerical Linear Algebra Excerpt :

This well-organized text provides a clear analysis of the fundamental concepts of numerical linear algebra. It presents various numerical methods for the basic topics of linear algebra with a detailed discussion on theory, algorithms, and MATLAB implementation. The book provides a review of matrix algebra and its important results in the opening chapter and examines these results in the subsequent chapters. With clear explanations, the book analyzes different kinds of numerical algorithms for solving linear algebra such as the elimination and iterative methods for linear systems, the condition number of a matrix, singular value decomposition (SVD) of a matrix, and linear least-squares problem. In addition, it describes the Householder and Givens matrices and their applications, and the basic numerical methods for solving the matrix eigenvalue problem. Finally, the text reviews the numerical methods for systems and control. Key Features Includes numerous worked-out examples to help students grasp the concepts easily.  Provides chapter-end exercises to enable students to check their comprehension of the topics discussed.  Gives answers to exercises with hints at the end of the book.  Uses MATLAB software for problem-solving. Primarily designed as a textbook for postgraduate students of Mathematics, this book would also serve as a handbook on matrix computations for scientists and engineers.

Numerical Linear Algebra Book

Numerical Linear Algebra


  • Author : Folkmar Bornemann
  • Publisher : Springer
  • Release Date : 2018-01-29
  • Genre: Mathematics
  • Pages : 153
  • ISBN 10 : 9783319742229

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Numerical Linear Algebra Excerpt :

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally – in an appendix – in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.

Introduction to Applied Linear Algebra Book

Introduction to Applied Linear Algebra


  • Author : Stephen Boyd
  • Publisher : Cambridge University Press
  • Release Date : 2018-06-07
  • Genre: Business & Economics
  • Pages : 500
  • ISBN 10 : 9781316518960

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Introduction to Applied Linear Algebra Excerpt :

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Linear Algebra and Linear Operators in Engineering Book

Linear Algebra and Linear Operators in Engineering


  • Author : H. Ted Davis
  • Publisher : Elsevier
  • Release Date : 2000-07-12
  • Genre: Mathematics
  • Pages : 547
  • ISBN 10 : 9780080510248

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Linear Algebra and Linear Operators in Engineering Excerpt :

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences

Numerical Linear Algebra on High Performance Computers Book

Numerical Linear Algebra on High Performance Computers


  • Author : Jack J. Dongarra
  • Publisher : SIAM
  • Release Date : 1998-01-01
  • Genre: Computers
  • Pages : 342
  • ISBN 10 : 9780898714289

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Numerical Linear Algebra on High Performance Computers Excerpt :

Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.

Numerical Linear Algebra in Signals  Systems and Control Book

Numerical Linear Algebra in Signals Systems and Control


  • Author : Paul Van Dooren
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-05-21
  • Genre: Technology & Engineering
  • Pages : 480
  • ISBN 10 : 9789400706026

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Numerical Linear Algebra in Signals Systems and Control Excerpt :

The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.