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Projection Matrices, Generalized Inverse Matrices, and Singular Value Decompo...
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Item specifics
- Condition
- Book Title
- Projection Matrices, Generalized Inverse Matrices, and Singular V
- ISBN
- 9781441998866
- Publication Year
- 2011
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
- Item Height
- 235mm
- Publisher
- Springer-Verlag New York Inc.
- Item Width
- 155mm
- Subject
- Mathematics, Healthcare System
- Item Weight
- 529g
- Number of Pages
- 236 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781441998866
eBay Product ID (ePID)
108344926
Product Key Features
Publication Name
Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
Format
Hardcover
Language
English
Subject
Mathematics, Healthcare System
Publication Year
2011
Type
Textbook
Number of Pages
236 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
529g
Additional Product Features
Series Title
Statistics for Social and Behavioral Sciences
Country/Region of Manufacture
United States
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Far Corner Europe Limited
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eBay item number:386964902881
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