Matrix Analysis

DOWNLOAD NOW »

Author: Roger A. Horn,Charles R. Johnson

Publisher: Cambridge University Press

ISBN: 9780521386326

Category: Mathematics

Page: 561

View: 2725

In this book the authors present classical and recent results for matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematics, and the necessary material has only occurred sporadically in the literature and university curricula. As the interest in applied mathematics has grown, the need for a text and a reference work offering a broad selection of topics has become apparent, and this book aims to meet that need. This book will be welcomed as an undergraduate or graduate textbook for students studying matrix analysis. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. They begin with a review and discussion of eigenvalues and eigenvectors. The following chapters each treat a major topic in depth. This volume should be useful not only as a text, but also as a self-contained reference work to a variety of audiences in other scientific fields.

Matrix Analysis

DOWNLOAD NOW »

Author: Rajendra Bhatia

Publisher: Springer Science & Business Media

ISBN: 1461206537

Category: Mathematics

Page: 349

View: 6850

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Topics in Matrix Analysis

DOWNLOAD NOW »

Author: Roger A. Horn,Charles R. Johnson

Publisher: Cambridge University Press

ISBN: 9780521467131

Category: Mathematics

Page: 607

View: 8243

This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.

Introduction to Matrix Analysis and Applications

DOWNLOAD NOW »

Author: Fumio Hiai,Dénes Petz

Publisher: Springer Science & Business Media

ISBN: 3319041509

Category: Mathematics

Page: 332

View: 4384

Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.

Introduction to Matrix Analysis

Second Edition

DOWNLOAD NOW »

Author: Richard Bellman

Publisher: SIAM

ISBN: 0898713994

Category: Mathematics

Page: 403

View: 5878

Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.

Matrix Analysis for Scientists and Engineers

DOWNLOAD NOW »

Author: Alan J. Laub

Publisher: SIAM

ISBN: 0898715768

Category: Mathematics

Page: 157

View: 6575

"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.

Linear Algebra and Matrix Analysis for Statistics

DOWNLOAD NOW »

Author: Sudipto Banerjee,Anindya Roy

Publisher: CRC Press

ISBN: 1482248247

Category: Mathematics

Page: 580

View: 9547

Linear Algebra and Matrix Analysis for Statistics offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book is as self-contained as possible, assuming no prior knowledge of linear algebra. The authors first address the rudimentary mechanics of linear systems using Gaussian elimination and the resulting decompositions. They introduce Euclidean vector spaces using less abstract concepts and make connections to systems of linear equations wherever possible. After illustrating the importance of the rank of a matrix, they discuss complementary subspaces, oblique projectors, orthogonality, orthogonal projections and projectors, and orthogonal reduction. The text then shows how the theoretical concepts developed are handy in analyzing solutions for linear systems. The authors also explain how determinants are useful for characterizing and deriving properties concerning matrices and linear systems. They then cover eigenvalues, eigenvectors, singular value decomposition, Jordan decomposition (including a proof), quadratic forms, and Kronecker and Hadamard products. The book concludes with accessible treatments of advanced topics, such as linear iterative systems, convergence of matrices, more general vector spaces, linear transformations, and Hilbert spaces.

Matrix Analysis and Applied Linear Algebra

DOWNLOAD NOW »

Author: Carl D. Meyer

Publisher: SIAM

ISBN: 0898719518

Category: Mathematics

Page: 718

View: 6999

Matrix Analysis and Applied Linear Algebra is an honest math text that circumvents the traditional definition-theorem-proof format that has bored students in the past. Meyer uses a fresh approach to introduce a variety of problems and examples ranging from the elementary to the challenging and from simple applications to discovery problems. The focus on applications is a big difference between this book and others. Meyer's book is more rigorous and goes into more depth than some. He includes some of the more contemporary topics of applied linear algebra which are not normally found in undergraduate textbooks. Modern concepts and notation are used to introduce the various aspects of linear equations, leading readers easily to numerical computations and applications. The theoretical developments are always accompanied with examples, which are worked out in detail. Each section ends with a large number of carefully chosen exercises from which the students can gain further insight.

Numerical Matrix Analysis

Linear Systems and Least Squares

DOWNLOAD NOW »

Author: Ilse C. F. Ipsen

Publisher: SIAM

ISBN: 0898716764

Category: Mathematics

Page: 128

View: 3391

Matrix analysis presented in the context of numerical computation at a basic level.

Matrix Theory

Basic Results and Techniques

DOWNLOAD NOW »

Author: Fuzhen Zhang

Publisher: Springer Science & Business Media

ISBN: 1475757972

Category: Mathematics

Page: 279

View: 3573

This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.

Matrix Analysis of Electrical Machines

DOWNLOAD NOW »

Author: A. K. Mukhopadhyay

Publisher: New Age International

ISBN: 9788122414455

Category: Electric apparatus and appliances

Page: 264

View: 7646

Electrical Machines May Be Analysed Utilising One Of The Three Methods Viz. Classical Theory, Unified Theory And The Generalised Theory Of Electrical Machines. Generalised Theory May Also Be Regarded As The Matrix Theory Of Electrical Machines Which Requires Only A Knowledge Of The Circuit Equation, Elementary Matrix Algebra And The Principle That The Power Of The System Must Remain Invariant Irrespective Of The Terms In Which It Is Expressed.This Technique Is The Best Approach To Obtain Electrical Machine Performance For Both The Non-Specialist And The Specialist And That The Latter Will Find In It, A Powerful Tool When He Is Faced With More Complicated Performance Problems. An Attempt Has Been Made In This Volume To Study Most Of The Electrical Machines Normally Covered In Undergraduate And Postgraduate Courses Utilising Matrix Analysis. The Book Also Includes Some More Advanced Problems To Indicate The Power And Limitation Of The Method.After An Introduction To The Theory, The Same Methodology Has Been Applied To Static Circuits As Illustrations. Then The Generalised Machines Of First And Second Kinds Have Been Introduced And Analysed Followed By The Different Case Studies. Both Steady State And Transient Analysis Of Conventional Machines Have Been Presented In Both Static And Rotating Reference Frames. The Beauty Of The Matrix Theory Has Been Projected While Developing The Equivalent Circuits Of Different Machines Using Revolving Field Theory Where Physical Concepts Have Been Derived From The Mathematical Models Developed Through Matrix Analysis.The Latest Development Of The Theory Viz. The Development Of State Model Of Different Electrical Machines Has Been Explained Clearly In The Text. These Models May Readily Be Utilised For Stability Analysis Using Computers.The Book Has Been Presented In Such A Way That, It Will Be A Textbook For Undergraduate And Postgraduate Students And Also A Reference Book For The Research Students In The Relevant Area And Practising Engineers.The Treatment Of The Book May Find Wide Application For The Practising Engineers Who Face Day-To-Day Problems In The Practical Field Since The Theory Is Based On Elementary Knowledge Of Matrix Algebra And Circuit Theory Rather Than Complicated Physical Laws And Hypothesis.

Matrix Theory

DOWNLOAD NOW »

Author: Joel N. Franklin

Publisher: Courier Corporation

ISBN: 0486136388

Category: Mathematics

Page: 304

View: 3737

Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.

Computational Matrix Analysis

DOWNLOAD NOW »

Author: Alan J. Laub

Publisher: SIAM

ISBN: 1611972205

Category: Mathematics

Page: 170

View: 4456

This text provides an introduction to numerical linear algebra together with its application to solving problems arising in state-space control and systems theory. The book provides a number of elements designed to help the reader learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis and an introduction to finite (IEEE) arithmetic, alongside discussion of mathematical software topics. In addition to the fundamental concepts, the text covers statistical condition estimation and gives an overview of certain computational problems in control and systems theory. Engineers and scientists will find this text valuable as a theoretical resource to complement their work in algorithms. For graduate students beginning their study, or advanced undergraduates, this text is ideal as a one-semester course in numerical linear algebra and is a natural follow-on to the author's previous book, Matrix Analysis for Scientists and Engineers.

Matrix Analysis of Structures

DOWNLOAD NOW »

Author: Robert E. Sennett

Publisher: Waveland Press

ISBN: 1478610166

Category: Technology & Engineering

Page: 228

View: 6122

Matrix analysis of structures has become a widely used method in virtually all engineering disciplines. Sennetts outstanding volume, suitable both as a text for students and a reference for professional engineers, clearly presents the displacement method of matrix analysis from its use with a one-dimensional bar element through two-dimensional trusses and frames, finishing with three-dimensional transformations. Special topics, energy methods, and a brief introduction to the finite element method also are included. Computer programming, an essential part of engineering, permeates each chapter to give readers hands-on experience in problem solving.

Matrix Analysis of Structures SI Version

DOWNLOAD NOW »

Author: Aslam Kassimali

Publisher: Cengage Learning

ISBN: 1111426228

Category: Technology & Engineering

Page: 640

View: 1147

This book takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and interesting and modern examples, producing a technically and mathematically accurate presentation of the subject. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Matrix Analysis and Applications

DOWNLOAD NOW »

Author: Xian-Da Zhang

Publisher: Cambridge University Press

ISBN: 1108417418

Category: Mathematics

Page: N.A

View: 3815

The theory, methods and applications of matrix analysis are presented here in a novel theoretical framework.

Applied Linear Algebra and Matrix Analysis

DOWNLOAD NOW »

Author: Thomas S. Shores

Publisher: Springer Science & Business Media

ISBN: 0387489479

Category: Mathematics

Page: 384

View: 9813

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

Fundamentals of Matrix Analysis with Applications

DOWNLOAD NOW »

Author: Edward Barry Saff,Arthur David Snider

Publisher: John Wiley & Sons

ISBN: 111895369X

Category: Mathematics

Page: 408

View: 9671

An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.

Introduction to matrix analysis

DOWNLOAD NOW »

Author: Richard Ernest Bellman

Publisher: Society for Industrial and Applied Mathematics (SIAM)

ISBN: N.A

Category: Mathematics

Page: 328

View: 1673

Matrix Analysis

1925

DOWNLOAD NOW »

Author: Harold Varner McIntosh

Publisher: N.A

ISBN: N.A

Category: Matrices

Page: 430

View: 3430