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Matrix theory and finite mathematics
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ISBN: 0070490279 9780070490277 Year: 1973 Publisher: New York McGraw-Hill

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Matrix methods
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ISBN: 0128184191 9780128184202 0128184205 9780128184196 Year: 2020 Publisher: London San Diego, CA

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Vectors, matrices and geometry
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ISBN: 1282707302 9786612707308 9882203035 9789882203037 9789622093607 9622093604 Year: 1994 Publisher: Hong Kong Hong Kong University Press

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This book introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained.

Completely positive matrices
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ISBN: 1281935638 9786611935634 9812795219 9789812795212 9812383689 9789812383686 9812383689 9781281935632 6611935630 Year: 2003 Publisher: River Edge, N.J. World Scienfic

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A real matrix is positive semidefinite if it can be decomposed as A=BB[symbol]. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB[symbol] is known as the cp-rank of A. This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined.

Nonhomogeneous matrix products
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ISBN: 1281951595 9786611951597 9812810056 9789812810052 9781281951595 9789810246280 9810246285 6611951598 Year: 2002 Publisher: River Edge, N.J. World Scientific

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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.


Book
Multivariate Statistics : Theory and Applications : proceedings of IX Tartu Conference on Multivariate Statistics and XX International Workshop on Matrices and Statistics, Tartu, Estonia, 26 June-1 July, 2011
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ISBN: 9814449407 9789814449403 9814449393 9789814449397 9789814449397 Year: 2013 Publisher: New Jersey : World Scientific,

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The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.


Book
Matrix analysis for statistics
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ISBN: 9781119092483 9781119092469 9781119092476 1119092485 Year: 2016 Publisher: New York : Wiley

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An up-to-date version of the complete, self-contained introduction to matrix analysis theory and practice Providing accessible and in-depth coverage of the most common matrix methods now used in statistical applications, Matrix Analysis for Statistics, Third Edition features an easy-to-follow theorem/proof format. Featuring smooth transitions between topical coverage, the author carefully justifies the step-by-step process of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix differentiation; and the distribution of quadratic forms. An ideal introduction to matrix analysis theory and practice, Matrix Analysis for Statistics, Third Edition features: • New chapter or section coverage on inequalities, oblique projections, and antieigenvalues and antieigenvectors • Additional problems and chapter-end practice exercises at the end of each chapter • Extensive examples that are familiar and easy to understand • Self-contained chapters for flexibility in topic choice • Applications of matrix methods in least squares regression and the analyses of mean vectors and covariance matrices Matrix Analysis for Statistics, Third Edition is an ideal textbook for upper-undergraduate and graduate-level courses on matrix methods, multivariate analysis, and linear models. The book is also an excellent reference for research professionals in applied statistics. James R. Schott, PhD, is Professor in the Department of Statistics at the University of Central Florida. He has published numerous journal articles in the area of multivariate analysis. Dr. Schott's research interests include multivariate analysis, analysis of covariance and correlation matrices, and dimensionality reduction techniques.

Modern matrix algebra
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ISBN: 9780139488528 0139488529 Year: 2001 Publisher: Upper Saddle River Prentice Hall

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Book
Introduction to matrix methods in optics
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ISBN: 0471296856 Year: 1975 Publisher: London Wiley

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Book
Methods of matrix algebra
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ISBN: 1282289810 9786612289811 0080955223 0125488505 9780080955223 9781282289819 9780125488501 Year: 1965 Publisher: New York Academic Press

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Methods of matrix algebra

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