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Titlebook: Numerical Linear Algebra for Applications in Statistics; James E. Gentle Textbook 1998 Springer Science+Business Media New York 1998 Analy

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发表于 2025-3-21 18:04:12 | 显示全部楼层 |阅读模式
书目名称Numerical Linear Algebra for Applications in Statistics
编辑James E. Gentle
视频video
丛书名称Statistics and Computing
图书封面Titlebook: Numerical Linear Algebra for Applications in Statistics;  James E. Gentle Textbook 1998 Springer Science+Business Media New York 1998 Analy
描述Numerical linear algebra is one of the most important subjects in the field of statistical computing. Statistical methods in many areas of application require computations with vectors and matrices. This book describes accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Although the book is not tied to any particular software system, it describes and gives examples of the use of modern computer software for numerical linear algebra. An understanding of numerical linear algebra requires basic knowledge both of linear algebra and of how numerical data are stored and manipulated in the computer. The book begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, matrix factorizations, matrix and vector norms, and other topics in linear algebra; hence, the book is essentially self- contained. The topics addressed in this bookconstitute the most important material for an introductory course in statistical computing, and should be covered in every such course. The book includes exercises and can be used as a text for a firs
出版日期Textbook 1998
关键词Analysis; Eigenvalue; Eigenvector; Fitting; Matrix; algebra; algorithms; best fit; computer; linear algebra; s
版次1
doihttps://doi.org/10.1007/978-1-4612-0623-1
isbn_softcover978-1-4612-6842-0
isbn_ebook978-1-4612-0623-1Series ISSN 1431-8784 Series E-ISSN 2197-1706
issn_series 1431-8784
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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发表于 2025-3-21 22:55:20 | 显示全部楼层
Solution of Linear Systems,ds. The system is said to be . if there exists such an ., and in that case a solution . may be written as .b, where . is some inverse of . If . is square and of full rank, we can write the solution as .b.
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Computation of Eigenvectors and Eigenvalues and the Singular Value Decomposition, . The matrix . is called the . of the polynomial .. It is easy to see that the characteristic equation of ., equation (2.11) on page 68, is the polynomial .(λ): . Thus, given a general polynomial ., we can form a matrix . whose eigenvalues are the roots of the polynomial. It is a well-known fact in
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Applications in Statistics,data structured this way; the variables on the dataset generally correspond to the columns, and the observations correspond to the rows. If the data are in the matrix . a useful statistic is the sums of squares and cross-products matrix, ., or the “ adjusted” squares and cross-products matrix, where
发表于 2025-3-22 09:04:51 | 显示全部楼层
1431-8784 pplication require computations with vectors and matrices. This book describes accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Although the book is not tied to any particular software system, it desc
发表于 2025-3-22 13:25:17 | 显示全部楼层
Textbook 1998 require computations with vectors and matrices. This book describes accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Although the book is not tied to any particular software system, it describes and
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Solution of Linear Systems,ds. The system is said to be . if there exists such an ., and in that case a solution . may be written as .b, where . is some inverse of . If . is square and of full rank, we can write the solution as .b.
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