Matrix Methods in Stability Theory
Author: Stephen Barnett
Publisher:
Published: 1970
Total Pages: 168
ISBN-13:
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Topics in Matrix Analysis
Author: Roger A. Horn
Publisher: Cambridge University Press
Published: 1994-06-24
Total Pages: 620
ISBN-13: 9780521467131
DOWNLOAD EBOOKThis book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.
Stability by Liapunov's Matrix Function Method with Applications
Author: A.A. Martynyuk
Publisher: CRC Press
Published: 1998-08-03
Total Pages: 298
ISBN-13: 9780824701918
DOWNLOAD EBOOK"Provides a systematic study of matrix Liapunov functions, incorporating new techniques for the qualitative analysis of nonlinear systems encountered in a wide variety of real-world situations."
Lyapunov Matrix Equation in System Stability and Control
Author: Zoran Gajic
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 274
ISBN-13: 048646668X
DOWNLOAD EBOOKThis comprehensive treatment provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation, with self-contained chapters for easy reference. The authors offer a wide variety of techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. 1995 edition.
MATRIX AND LINEAR ALGEBRA AIDED WITH MATLAB, Third Edition
Author: Kanti Bhushan Datta
Publisher: PHI Learning Pvt. Ltd.
Published: 2016-12-01
Total Pages: 717
ISBN-13: 8120352866
DOWNLOAD EBOOKWith the inclusion of applications of singular value decomposition (SVD) and principal component analysis (PCA) to image compression and data analysis, this edition provides a strong foundation of linear algebra needed for a higher study in signal processing. The use of MATLAB in the study of linear algebra for a variety of computational purposes and the programmes provided in this text are the most attractive features of this book which strikingly distinguishes it from the existing linear algebra books needed as pre-requisites for the study of engineering subjects. This book is highly suitable for undergraduate as well as postgraduate students of mathematics, statistics, and all engineering disciplines. The book will also be useful to Ph.D. students for relevant mathematical resources. NEW TO THIS EDITION The Third Edition of this book includes: • Simultaneous diagonalization of two diagonalizable matrices • Comprehensive exposition of SVD with applications in shear analysis in engineering • Polar Decomposition of a matrix • Numerical experimentation with a colour and a black-and-white image compression using MATLAB • PCA methods of data analysis and image compression with a list of MATLAB codes
Perturbation Theory for Matrix Equations
Author: M. Konstantinov
Publisher: Gulf Professional Publishing
Published: 2003-05-20
Total Pages: 443
ISBN-13: 0080538673
DOWNLOAD EBOOKThe book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis.In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.Key features:• The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field
The Theory of Matrices
Author: Peter Lancaster
Publisher: Academic Press
Published: 1985-05-28
Total Pages: 590
ISBN-13: 9780124355606
DOWNLOAD EBOOKMatrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.
Matrix Analysis
Author: Roger A. Horn
Publisher: Cambridge University Press
Published: 1990-02-23
Total Pages: 580
ISBN-13: 9780521386326
DOWNLOAD EBOOKMatrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.
Matrix Mathematics
Author: Dennis S. Bernstein
Publisher: Princeton University Press
Published: 2009-07-06
Total Pages: 1182
ISBN-13: 1400833345
DOWNLOAD EBOOKWhen first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing
Optimization and Stability Theory for Economic Analysis
Author: Brian Beavis
Publisher: Cambridge University Press
Published: 1990
Total Pages: 440
ISBN-13: 9780521336055
DOWNLOAD EBOOKThis book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
