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Titlebook: Matrix Algebra; Theory, Computations James E. Gentle Textbook 20172nd edition Springer International Publishing AG 2017 matrix.linear algeb

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发表于 2025-3-21 17:16:14 | 显示全部楼层 |阅读模式
书目名称Matrix Algebra
副标题Theory, Computations
编辑James E. Gentle
视频video
概述Comprehensive coverage of matrix algebra for data science and statistical theory.Over 100 pages of additional material and 30 extra exercises in the new edition.Even clearer text and more comprehensiv
丛书名称Springer Texts in Statistics
图书封面Titlebook: Matrix Algebra; Theory, Computations James E. Gentle Textbook 20172nd edition Springer International Publishing AG 2017 matrix.linear algeb
描述.This textbook for graduate and advanced undergraduate students presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra. Matrix algebra is one of the most important areas of mathematics in data science and in statistical theory, and the second edition of this very popular textbook provides essential updates and comprehensive coverage on critical topics in mathematics in data science and in statistical theory. .Part I offers a self-contained description of relevant aspects of the theory of matrix algebra for applications in statistics. It begins with fundamental concepts of vectors and vector spaces; covers basic algebraic properties of matrices and analytic properties of vectors and matrices in multivariate calculus; and concludes with a discussion on operations on matrices in solutions of linear systems and in eigenanalysis. Part II considers various types of matricesencountered in statistics, such as projection matrices and positive definite matrices, and describes special properties of those matrices; and describes various applications of matrix theory in statistics, inc
出版日期Textbook 20172nd edition
关键词matrix; linear algebra; numerical analysis; optimization; linear model; vector; linear transformation; sing
版次2
doihttps://doi.org/10.1007/978-3-319-64867-5
isbn_softcover978-3-319-64866-8
isbn_ebook978-3-319-64867-5Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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发表于 2025-3-21 23:18:32 | 显示全部楼层
Vectors and Vector Spaceselds, such as complex numbers, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” vectors or “real” vector spaces, but unless it is stated otherwise, we are assuming the vectors and vector spaces are real. The topics and the properties of vectors and vector sp
发表于 2025-3-22 00:28:13 | 显示全部楼层
Basic Properties of Matricesf the properties carry over to matrices with complex elements, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” matrices, but unless it is stated otherwise, we are assuming the matrices are real.
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Solution of Linear Systemslds. The system is said to be . if there exists such an ., and in that case a solution . may be written as ..., where .. is some inverse of .. If . is square and of full rank, we can write the solution as ....
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Numerical Linear Algebrailities for working with the individual elements but not directly with the arrays. Modern Fortran and higher-level languages such as Octave or Matlab and R allow direct manipulation of objects that represent vectors and matrices. The vectors and matrices are arrays of floating-point numbers.
发表于 2025-3-23 03:46:34 | 显示全部楼层
Software for Numerical Linear Algebran distinguish software based on various dimensions, including the kinds of applications that the software emphasizes, the level of the objects it works with directly, and whether or not it is interactive. We can also distinguish software based on who “owns” the software and its availability to other
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writing such a book, one is faced with numerous decisions, e. g. : Which topics should be included? What should be assumed about the readers’ prior knowledge? How should balance be achieved between numerical theory and physical application? This book is not elementary. The reader should have a backg
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