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Titlebook: Matrix Algebra; Theory, Computations James E. Gentle Textbook 20071st edition Springer-Verlag New York 2007 Algebra.STATISTICA.algorithm.al

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书目名称Matrix Algebra
副标题Theory, Computations
编辑James E. Gentle
视频video
概述This book‘s emphasis is on the areas of matrix analysis that are important for statisticians.Addresses computational issues, places more emphasis on applications that existing texts and is written in
丛书名称Springer Texts in Statistics
图书封面Titlebook: Matrix Algebra; Theory, Computations James E. Gentle Textbook 20071st edition Springer-Verlag New York 2007 Algebra.STATISTICA.algorithm.al
描述.Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. The first part of this book presents the relevant aspects of the theory of matrix algebra for applications in statistics. This part begins with the fundamental concepts of vectors and vector spaces, next covers the basic algebraic properties of matrices, then describes the analytic properties of vectors and matrices in the multivariate calculus, and finally discusses operations on matrices in solutions of linear systems and in eigenanalysis. This part is essentially self-contained...The second part of the book begins with a consideration of various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. The second part also describes some of the many applications of matrix theory in statistics, including linear models, multivariate analysis, and stochastic processes. The brief coverage in this part illustrates the matrix theory developed in the first part of the book. The first two parts of the book can be used as the text for a course in matrix algebra for statistics
出版日期Textbook 20071st edition
关键词Algebra; STATISTICA; algorithm; algorithms; calculus; data analysis; eigenanalysis; matrix factorization; ma
版次1
doihttps://doi.org/10.1007/978-0-387-70873-7
isbn_ebook978-0-387-70873-7Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer-Verlag New York 2007
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invariants have their interpretation in this context, and this is the reason why their names may seem bizarre in the scope of monoids. In this sense the monograph [5] serves as an extraordinary dictionary between these apparently two different parts of Mathematics.
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re advanced models, although the more and more popular Explicit Algebraic Stress Model (EASM) is close. A surprising result of the analysis is that methods with wall-functions give significantly smaller resistance errors than those with a wall-resolved flow. Grid convergence is discussed and it is s
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d inside a thin sheet specimen obtained from steel S355. Damage.evolution by void initiation, growth and coalescence are visualized in.2D and 3D laminographic images. Two fracture types, i.e., a flat crack.propagation originated from void initiation, growth and coalescence.and a shear coalescence me
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