Handbook Of Matrices PDF Download
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Author | : Helmut Lütkepohl |
Publisher | : John Wiley & Sons |
Total Pages | : 326 |
Release | : 1997-03-06 |
Genre | : Mathematics |
ISBN | : 0471970158 |
Download Handbook of Matrices Book in PDF, ePub and Kindle
Matrices are used in many fields such as statistics, econometrics, mathematics, natural sciences and engineering. They provide a concise, simple method for describing long and complicated computations. This is a comprehensive handbook and dictionary of terms for matrix theory.
Author | : Helmut L?tkepohl |
Publisher | : |
Total Pages | : 328 |
Release | : 1996-11-05 |
Genre | : Mathematics |
ISBN | : |
Download Handbook of Matrices Book in PDF, ePub and Kindle
Matrices are used in many areas including statistics, natural sciences, econometrics, maths & engineering. This book provides a collection of results for easy reference in one source, along with a comprehensive dictionary of matrices & related terms.
Author | : Helmut L?tkepohl |
Publisher | : |
Total Pages | : 328 |
Release | : 1996-11-05 |
Genre | : Mathematics |
ISBN | : |
Download Handbook of Matrices Book in PDF, ePub and Kindle
Matrices are used in many areas including statistics, natural sciences, econometrics, maths & engineering. This book provides a collection of results for easy reference in one source, along with a comprehensive dictionary of matrices & related terms.
Author | : Thomas F. Coleman |
Publisher | : SIAM |
Total Pages | : 271 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971040 |
Download Handbook for Matrix Computations Book in PDF, ePub and Kindle
Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and "hands on" experience.
Author | : George A. F. Seber |
Publisher | : John Wiley & Sons |
Total Pages | : 592 |
Release | : 2008-01-28 |
Genre | : Mathematics |
ISBN | : 0470226781 |
Download A Matrix Handbook for Statisticians Book in PDF, ePub and Kindle
A comprehensive, must-have handbook of matrix methods with a unique emphasis on statistical applications This timely book, A Matrix Handbook for Statisticians, provides a comprehensive, encyclopedic treatment of matrices as they relate to both statistical concepts and methodologies. Written by an experienced authority on matrices and statistical theory, this handbook is organized by topic rather than mathematical developments and includes numerous references to both the theory behind the methods and the applications of the methods. A uniform approach is applied to each chapter, which contains four parts: a definition followed by a list of results; a short list of references to related topics in the book; one or more references to proofs; and references to applications. The use of extensive cross-referencing to topics within the book and external referencing to proofs allows for definitions to be located easily as well as interrelationships among subject areas to be recognized. A Matrix Handbook for Statisticians addresses the need for matrix theory topics to be presented together in one book and features a collection of topics not found elsewhere under one cover. These topics include: Complex matrices A wide range of special matrices and their properties Special products and operators, such as the Kronecker product Partitioned and patterned matrices Matrix analysis and approximation Matrix optimization Majorization Random vectors and matrices Inequalities, such as probabilistic inequalities Additional topics, such as rank, eigenvalues, determinants, norms, generalized inverses, linear and quadratic equations, differentiation, and Jacobians, are also included. The book assumes a fundamental knowledge of vectors and matrices, maintains a reasonable level of abstraction when appropriate, and provides a comprehensive compendium of linear algebra results with use or potential use in statistics. A Matrix Handbook for Statisticians is an essential, one-of-a-kind book for graduate-level courses in advanced statistical studies including linear and nonlinear models, multivariate analysis, and statistical computing. It also serves as an excellent self-study guide for statistical researchers.
Author | : Jacob T. Schwartz |
Publisher | : Courier Corporation |
Total Pages | : 198 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486143708 |
Download Introduction to Matrices and Vectors Book in PDF, ePub and Kindle
Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.
Author | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
Download Introduction to Applied Linear Algebra Book in PDF, ePub and Kindle
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author | : Gernot Akemann |
Publisher | : Oxford Handbooks |
Total Pages | : 0 |
Release | : 2015-08-09 |
Genre | : Mathematics |
ISBN | : 9780198744191 |
Download The Oxford Handbook of Random Matrix Theory Book in PDF, ePub and Kindle
With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach.In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry.
Author | : Nicholas J. Higham |
Publisher | : SIAM |
Total Pages | : 445 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 0898717779 |
Download Functions of Matrices Book in PDF, ePub and Kindle
A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.
Author | : Alan Jeffrey |
Publisher | : Springer Science & Business Media |
Total Pages | : 323 |
Release | : 2010-09-05 |
Genre | : Science |
ISBN | : 9048192749 |
Download Matrix Operations for Engineers and Scientists Book in PDF, ePub and Kindle
Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.