Matrix Algebra: Theory, Computations and Applications in Statistics

Matrix Algebra: Theory, Computations and Applications in Statistics
ISBN-10
3319648675
ISBN-13
9783319648675
Category
Mathematics
Pages
648
Language
English
Published
2017-10-12
Publisher
Springer
Author
James E. Gentle

Description

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.

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