Book Description

In the last ten years, there has been increasing interest and activity in the general area of partially linear regression smoothing in statistics. Many methods and techniques have been proposed and studied. This monograph hopes to bring an up-to-date presentation of the state of the art of partially linear regression techniques. The emphasis is on methodologies rather than on the theory, with a particular focus on applications of partially linear regression techniques to various statistical problems. These problems include least squares regression, asymptotically efficient estimation, bootstrap resampling, censored data analysis, linear measurement error models, nonlinear measurement models, nonlinear and nonparametric time series models. ... Read more

Book Description

Matrix diagonal stability and the related diagonal type Liapunov functions possess properties that make them attractive and very useful for applications. This new book addresses the matrix-stability concept and its applications to the analysis and design of several types of dynamical systems, both discrete-time and continuous-time.

The comprehensive presentation begins with an introductory chapter surveying applied examples from diverse fields, i.e., robust stability analysis, asynchronous iterative computation, neural networks and variable structure dynamical systems. The next few chapters develop the theory and includes a unified presentation of results in the area of matrix-diagonal stability and D-stability. The remaining chapters examine the various applications in greater detail. Both classical and new results are discussed, and the overall treatment is self-contained, only requiring linear algebra, difference equations and differential equations.

Topics and Features:

Diverse applications presented with minimum of technical prerequisites
Unified presentation of results on discrete-time and continuous-time diagonal and D-stability
Extensive guide to current literature and discussion of open problems
Asynchronous iterative methods
Stability and stabilization
Neural networks, circuits and systems

"Matrix Diagonal Stability in Systems and Computation" provides an essential reference for new methods and analysis related to dynamical systems described by linear and nonlinear ordinary differential equations and difference equations. Researchers, professionals and graduates in applied math, control engineering, stability of dynamical systems, scientific computation and computer science will find the book a successful guide to current results and developments. ... Read more

Book Description

Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces.

This book puts together much of the basic work on infinite products of matrices, providing a primary source for such work. This will eliminate the rediscovery of known results in the area, and thus save considerable time for researchers who work with infinite products of matrices. In addition, two chapters are included to show how infinite products of matrices are used in graphics and in systems work. ... Read more

Book Description

Although the behavior and ecology of primates has been more thoroughly studied than that of any other group of mammals, there have been very few attempts to compare the communities of living primates found in different parts of the world. In Primate Communities, an international group of experts compares the composition, behavior, and ecology of primate communities in Africa, Asia, Madagascar, and South America. They examine the factors underlying the similarities and differences among these communities, including their phylogenetic history, climate, rainfall, soil type, forest composition, competition with other vertebrates, and human activities. As it brings together information about primate communities from around the world for the very first time, it will quickly become an important source book for researchers in anthropology, ecology, and conservation, and a readable and informative text for undergraduate and graduate students studying primate ecology, primate conservation, or primate behavior. ... Read more

Book Description

This multimedia book presents an in-depth coverage of fundamentals of eigenvalue analysis and orthogonal systems. Starting from the basics, it covers various topics such as QR-decomposition, the relationship between the dominant poles and the leading eigenvalues of a given system etc. It also briefly reviews the Padé approximation and why it is ill conditioned. The topics covered in this book provide a solid foundation for understanding the iterative techniques for computation of dominant eigenvalues, such as Krylov-subspace techniques.

The material presented is accompanied with illustrative animations, reinforced with the audio. The book also provides literature reviews, numerous examples, illustrations, and necessary relations/derivations. The book has been developed in an easy-to-understand style and with in-depth coverage.

The material presented is useful for designers, application engineers, CAD tool developers as well as to those interested in understanding the mathematical principles of electrical systems. The book is also useful to the math community where the complex issue of orthogonal systems is presented in the simple-to-understand form, with the help of intense multimedia presentations. This CD based multimedia book contains approximately two hours of intense multimedia presentations. ... Read more

Book Description

In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work. ... Read more

Reviews (2)

better books out there
I would rather recomment Horn and Johnson's Matrix Analysis,
since their book is much better.

Lancaster and Tismenetsky
As a graduate student, I had this book for a graduate course in Matrix Theory, taught by Dr. Hans Schneider at the University of Wisconsin-Madison. I've always liked it. Now that I'm planning my own course in Matrix Theory, I've been searching for just the right book for the type of course I want, which is an intro graduate level course for working engineers. I have tried, but cannot find, and don't really need, anything other than this book. ... Read more

Book Description

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices.He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering.The book mixes together algebra, analysis, complexity theory and numerical analysis.As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference.It is intended for advanced undergraduate and graduate students with either applied or theoretical goals.This book is based on a course given by the author at the Ecole Normale Supérieure de Lyon.

Denis Serre is Professor of Mathematics at Ecole Normale Supérieure de Lyon and a former member of the Institut Universaire de France.He is a member of numerous editorial boards and the author of Systems of Conservation Laws (Cambridge University Press 2000).The present book is a translation of the original French edition, Les Matrices: Théorie et Pratique, published by Dunod (2001). ... Read more

Book Description

This volume deals both with the finite-dimensional and the compact theorems about triangularization. It is designed to appeal to two different audiences. The first four chapters should be of interest to linear-algebraists and other algebraists (e.g. people interested in finite-dimensional representations) who use algebras or semigroups of matrices. These chapters include new appraoches to some results that are widely used, as well as recent developments and extensions. The remaining chapters concerned with the structures of linear operators on Banach spaces will attract operator theorists. The most satisfactory results are obtained for algebras and semigroups of compact operators. These theorems, based on the funamental work of Lomonsov and Ringrose of twenty-five years ago, are all quite recent. A number of important questions remain open; the authors hope that their presentation will stimulate further research. ... Read more

Book Description

Hardbound. Prominent statisticians discuss in this volume, the general methodological aspects of nonparametric methods, and applications, in a logically integrated and systematic form. The topics covered include biological assays, cancer research, categorical data analysis, clinical trials, empirical distributions, estimation procedures, life testing and reliability, linear models, meteorological applications, order statistics, robustness, sequential methods, statistical tables, and time series. ... Read more

Book Description

Book Description

Exceptionally useful text focuses on the establishment of the well-known canonical forms. Rank, nonsingularity and inverses are introduced in connection with the development of canonical matrices under the relation of equivalence, and without the intervention of determinants. Congruence and Hermitian congruence also treated in detail. Carefully chosen proofs and examples illustrate definitions and theorems. Exercises. 1952 edition. References.
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Reviews (1)

A treasure
This is a self-contained and extremely well-written and clear exposition of matrix theory primarily from the viewpoint of matrix polynomials. The proofs are all clear and easy to follow without sacrificing completeness. I would recommend reading this book before reading Theory of Matrices by Lancaster and Tismenetsky. ... Read more

Book Description

First published in 1985, Lanczos Algorithms for Large Symmetric Eigenvalue Computations; Vol. I: Theory presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with "symmetric" problems. However, in this book, "symmetric" also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices.

Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.

This book continues to be useful to the mathematical, scientific, and engineering communities as a reservoir of information detailing the nonclassical side of Lanczos algorithms and as a presentation of what continues to be the most efficient methods for certain types of large-scale eigenvalue computations.

An online version of Vol. II: Programs, which contains the FORTRAN code and documentation for each of the Lanczos procedures discussed in Vol. I, can be found at the numerical analysis community repository, under the term "lanczos." ... Read more

Reviews (1)

Good reference for deciding which method fits your problem
The book gives good insights about choosing particular methods. The author shows many tables comparing different strategies and matrices. The reader doesn't need to have background on sparse matrices. It is really a 'cookbook' on sparse matrix solutions. ... Read more