Generalized Inverses of Linear Transformations

Stephen L. Campbell is Professor of Mathematics and Director of Graduate Programs at North Carolina State University. His research interests include linear algebra, control theory, differential equations (especially differential algebraic equations), numerical methods, and applications. He is the author or co-author of eight books. Carl D. Meyer is Professor of Mathematics at North Carolina State University. His research interests include numerical and applied linear algebra; Markov chains and applied probability; and information retrieval, data mining, and web search. He is the author or co-author of six books.

Preface to the Classics Edition Preface Chapter 0: Introduction and other preliminaries Chapter 1: The Moore-Penrose or generalized inverse Chapter 2: Least squares solutions Chapter 3: Sums, partitioned matrices and the constrained generalized inverse Chapter 4: Partial isometries and EP matrices Chapter 5: The generalized inverse in electrical engineering Chapter 6: (i, j, k)-Generalized inverses and linear estimation Chapter 7: The Drazin inverse Chapter 8: Applications of the Drazin inverse to the theory of finite Markov chains Chapter 9: Applications of the Drazin inverse Chapter 10: Continuity of the generalized inverse Chapter 11: Linear programming Chapter 12: Computational concerns Bibliography Index