Matrix Vector Analysis

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tens

This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexit

In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online.

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for be

This book is concerned with the static and dynamic analysis of structures. Specifi- cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental proble

This high-level text explains the mathematics behind basic circuit theory. It covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the auth

This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative

The tourism industry, like any other, needs to be able to be measured - Tourism Satellite Accounts (TSA) is the methodology that is used to do just that. In this book, Hara explains that the key for

Written in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to constru

?This is an unusual book because it contains a great deal of formulas. Hence it is a blend of monograph, textbook, and handbook.It is intended for students and researchers who need quick access to use

Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calcu

Matrix-analytic and related methods have become recognized as an important and fundamental approach for the mathematical analysis of general classes of complex stochastic models. Research in the area

This book gives a detailed mathematical and statistical analysis of the cointegrated vector autoregressive model. This model has gained popularity because it can at the same time capture the short-ru

This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.

This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.

This comprehensive text covers both applied and theoretical branches of matrix algebra in the statistical sciences. It begins by dealing with the basic structure of vectors and vector spaces and then

This book explores contemporary Anglophone Cameroon poetry’s engagement with the environment through an eco-textual analysis of a cross section of poems from different poets. In this regard, the work

The contributors to this book introduce new ways to study shell-matrix sites, ranging from the geochemical analysis of shellfish to the interpretation of human remains buried within. Drawing upon exa

This book presents matrix analysis in the context of numerical computation. The material is presented at a basic level, emphasizing ideas and intuition, and each chapter offers simple exercises for us

The purpose of this book is to bring a broad spectrum of readers’ knowledge of matrix algebra that is useful in the statistical analysis of data and in statistics generally. The material is presented

Provides sample problems dealing with force analysis, plane trusses, friction, centroids of plane areas, distribution of forces, and moments and products of inertia

The present workshop is aiming at the higher achievement of the studies of current topics ranging over differential geometry, Complex analysis and mathematical physics their future developments and th

Entire book and illustrative examples have been edited extensively, and several chapters repositioned.* Imperial units are used instead of SI units in many of the examples and problems, particularly t

Presenting an introduction to elementary structural analysis methods and principles, this book will help readers develop a thorough understanding of both the behavior of structural systems under load

Elden (numerical analysis, Linkoping U.) uses as examples handwritten digits, text summarization, pagerank computations made famous by a certain very popular search engine (the name of which is now us

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for a