Projection Matrices Generalized Inverse Matrices and Singular Value Decomposition
Projection matrices, generalized inverse matrices, and singular value decomposition by Haruo Yanai, Kei Takeuchi, Yoshio Takane 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 un.... Published date on: 2011-04-06 with total page: 236 pages. Publisher of Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition is Springer
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.
Are you want to read online this ebook projection matrices generalized inverse matrices and singular value decomposition? If you have read an ebook before don't be hasitate to leave review about the book projection matrices generalized inverse matrices and singular value decomposition. But otherwise, you can registar/sign up before downloding this pdf book. We have huge database of ebooks in our library. If you bought an ebook than you want another ebook we suggest you to become our library member.
What do you get from becoming member in our library? 1.You can read free a lot of books from our database. 2.You can use any kind of ebook reader available on market, because our book available in various format. 3.You able to find your ebook fastly through our library because we put ebooks based on categories such as adventure, art, law, social, health, medical, science, romance, fiction, non-fiction and etc.