Projection Matrices Generalized Inverse Matrices and Singular Value Decomposition is popular PDF and ePub book, written by Haruo Yanai in 2011-04-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Projection Matrices Generalized Inverse Matrices and Singular Value Decomposition can be Read Online from any device for your convenience.
Projection Matrices Generalized Inverse Matrices and Singular Value Decomposition Book PDF Summary
Aside from distribution theory, projections and the singular value decomposition (SVD) are the two most important concepts for understanding the basic mechanism of multivariate analysis. The former underlies the least squares estimation in regression analysis, which is essentially a projection of one subspace onto another, and the latter underlies principal component analysis, which seeks to find a subspace that captures the largest variability in the original space. This book is about projections and SVD. A thorough discussion of generalized inverse (g-inverse) matrices is also given because it is closely related to the former. The book provides systematic and in-depth accounts of these concepts from a unified viewpoint of linear transformations finite dimensional vector spaces. More specially, it shows that projection matrices (projectors) and g-inverse matrices can be defined in various ways so that a vector space is decomposed into a direct-sum of (disjoint) subspaces. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition will be useful for researchers, practitioners, and students in applied mathematics, statistics, engineering, behaviormetrics, and other fields.
Detail Book of Projection Matrices Generalized Inverse Matrices and Singular Value Decomposition PDF
- Author : Haruo Yanai
- Release : 06 April 2011
- Publisher : Springer Science & Business Media
- ISBN : 9781441998873
- Genre : Mathematics
- Total Page : 244 pages
- Language : English
- PDF File Size : 17,5 Mb
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