TY  - BOOK
AU  - Yanai, Haruo
TI  - Projection matrices, generalized inverse matrices, and singular value decomposition
SN  - 9781441998866
U1  - 519.535 
PY  - 2011///
CY  - New York
PB  - Springer
KW  - Life sciences
KW  - Mathematical statistics
KW  - Matrices (Mathematics)
KW  - Multivariate analysis
KW  - Singular value decomposition
N2  - 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. (http://www.springer.com/statistics/book/978-1-4419-9886-6)
ER  -