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Numerical Linear Algebra for Applications in Statistics by James E. Gentle

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Synopsis
Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations and then describes the relevant properties of matrix inverses, factorizations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for the first course in statistical computing or as a supplementary text for various courses that emphasize computations.


Product Identifiers
ISBN-10
0387985425
ISBN-13
9780387985428

Key Details
Author
James E. Gentle
Number Of Pages
221 pages
Series
Statistics and Computing
Format
EBOOK
Publication Date
1998-08-13
Language
English
Publisher
Springer
Publication Year
1998


Additional Details
Number of Volumes
1 vol.
Copyright Date
1998
Illustrated
Yes

Target Audience
Group
Scholarly & Professional


Classification Method
LCCN
98-003959
LC Classification Number
QA150-272QA276-280QA


Contributors
Edited by
J. Chambers, S. Sheather, W. Eddy, Wolfgang Härdle


Table Of Content
Computer Storage and Manipulation of Data.- Basic Vector/Matrix Computations.- Solution of Linear Systems.- Computation of Eigenvectors and Eigenvalues and the Singular Value Decomposition.- Software for Numerical Linear Algebra.- Applications in Statistics.


Reviews
From a review: JOURNAL OF AMERICAN STATISTICAL ASSOCIATION "Gentle brings to this book (as well as his other recent books on further aspects of statistical computing) his vast knowledge and experience in the mathematics of scientific computing, the practical aspects of software development, and teaching. The presentation is exceptionally clear and well-sign-boarded. ...The writing style, though very precise, conveys a warmth and enthusiasm that will appeal to students."
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