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Regression and the Moore-Penrose Pseudoinverse

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Author(s): Arthur Albert (Eds.)
Series: Mathematics in Science and Engineering 94
Edition: 1st
Publisher: Elsevier, Academic Press
Year: 1972

Language: English
Pages: iii-xiii, 1-180

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Page xi

Acknowledgments
Page xiii

Part I: The General Theory and Computational Methods
Page 1

Chapter I: Introduction Original Research Article
Pages 3-4

Chapter II General Background Material Original Research Article
Pages 5-13

Chapter III Geometric and Analytic Properties of the Moore-Penrose Pseudoinverse Original Research Article
Pages 15-42

Chapter IV Pseudoinverses of Partitioned Matrices and Sums and Products of Matrices Original Research Article
Pages 43-56

Chapter V Computational Methods Original Research Article
Pages 57-81

Part II: Statistical Applications Original Research Article
Page 83

Chapter VI: The General Linear Hypothesis Original Research Article
Pages 85-118

Chapter VII Constrained Least Squares, Penalty Functions, and Blue's Original Research Article
Pages 119-123

Chapter VIII Recursive Computation of Least Squares Estimators Original Research Article
Pages 125-155

Chapter IX Nonnegative Definite Matrices, Conditional Expectation, and Kalman Filtering Original Research Article
Pages 157-172

References
Pages 173-176

Index
Pages 177-180