Numerical Linear Algebra with Applications

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  • Publisher : Academic Press
  • Release : 14 September 2014
  • ISBN : 9780123947840
  • Page : 628 pages
  • Rating : 4.5/5 from 103 voters

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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

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Numerical Linear Algebra with Applications

Numerical Linear Algebra with Applications
  • Author : William Ford
  • Publisher : Academic Press
  • Release Date : 2014-09-14
  • ISBN : 9780123947840
GET THIS BOOKNumerical Linear Algebra with Applications

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

Numerical Linear Algebra for Applications in Statistics

Numerical Linear Algebra for Applications in Statistics
  • Author : James E. Gentle
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781461206231
GET THIS BOOKNumerical Linear Algebra for Applications in Statistics

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

Numerical Linear Algebra and Applications, Second Edition

Numerical Linear Algebra and Applications, Second Edition
  • Author : Biswa Nath Datta
  • Publisher : SIAM
  • Release Date : 2010
  • ISBN : 9780898717655
GET THIS BOOKNumerical Linear Algebra and Applications, Second Edition

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

Numerical Linear Algebra: Theory and Applications

Numerical Linear Algebra: Theory and Applications
  • Author : Larisa Beilina,Evgenii Karchevskii,Mikhail Karchevskii
  • Publisher : Springer
  • Release Date : 2017-09-19
  • ISBN : 9783319573045
GET THIS BOOKNumerical Linear Algebra: Theory and Applications

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

Numerical Linear Algebra

Numerical Linear Algebra
  • Author : Holger Wendland
  • Publisher : Cambridge University Press
  • Release Date : 2017-11-30
  • ISBN : 9781107147133
GET THIS BOOKNumerical Linear Algebra

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.

Matrix Algebra

Matrix Algebra
  • Author : James E. Gentle
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-07-27
  • ISBN : 9780387708720
GET THIS BOOKMatrix Algebra

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.

Numerical Linear Algebra

Numerical Linear Algebra
  • Author : Folkmar Bornemann
  • Publisher : Springer
  • Release Date : 2018-01-29
  • ISBN : 9783319742229
GET THIS BOOKNumerical Linear Algebra

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

Linear Algebra with Applications

Linear Algebra with Applications
  • Author : Gareth Williams
  • Publisher : Jones & Bartlett Publishers
  • Release Date : 2011-08-24
  • ISBN : 9781449656454
GET THIS BOOKLinear Algebra with Applications

Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of R, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the

Applied Numerical Linear Algebra

Applied Numerical Linear Algebra
  • Author : James W. Demmel
  • Publisher : SIAM
  • Release Date : 1997-08-01
  • ISBN : 9780898713893
GET THIS BOOKApplied Numerical Linear Algebra

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

Numerical Linear Algebra and Optimization

Numerical Linear Algebra and Optimization
  • Author : Philip E. Gill,Walter Murray,Margaret H. Wright
  • Publisher : SIAM
  • Release Date : 2021-05-13
  • ISBN : 9781611976571
GET THIS BOOKNumerical Linear Algebra and Optimization

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

Numerical Linear Algebra

Numerical Linear Algebra
  • Author : GrĂ©goire Allaire,Sidi Mahmoud Kaber
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-12-17
  • ISBN : 9780387689180
GET THIS BOOKNumerical Linear Algebra

This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming. Here, the authors use both Matlab and SciLab software as well as covering core standard material. It is intended for libraries; scientists and

Numerical Linear Algebra in Signals, Systems and Control

Numerical Linear Algebra in Signals, Systems and Control
  • Author : Paul Van Dooren,Shankar P. Bhattacharyya,Raymond H. Chan,Vadim Olshevsky,Aurobinda Routray
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-05-21
  • ISBN : 9789400706026
GET THIS BOOKNumerical Linear Algebra in Signals, Systems and Control

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

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra
  • Author : Stephen Boyd,Lieven Vandenberghe
  • Publisher : Cambridge University Press
  • Release Date : 2018-06-07
  • ISBN : 9781316518960
GET THIS BOOKIntroduction to Applied Linear Algebra

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

Numerical Linear Algebra

Numerical Linear Algebra
  • Author : V. SUNDARAPANDIAN
  • Publisher : PHI Learning Pvt. Ltd.
  • Release Date : 2008-04-23
  • ISBN : 9788120334366
GET THIS BOOKNumerical Linear Algebra

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

Guaranteed Accuracy in Numerical Linear Algebra

Guaranteed Accuracy in Numerical Linear Algebra
  • Author : S.K. Godunov,A.G. Antonov,O.P. Kiriljuk,V.I. Kostin
  • Publisher : Springer Science & Business Media
  • Release Date : 1993-06-30
  • ISBN : 0792323521
GET THIS BOOKGuaranteed Accuracy in Numerical Linear Algebra

There exists a vast literature on numerical methods of linear algebra. In our bibliography list, which is by far not complete, we included some monographs on the subject [46], [15], [32], [39], [11], [21]. The present book is devoted to the theory of algorithms for a single problem of linear algebra, namely, for the problem of solving systems of linear equations with non-full-rank matrix of coefficients. The solution of this problem splits into many steps, the detailed discussion of which are interest ing problems on their