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Generalized Inverses of Linear Transformations provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications that includes topics in electrical and computer engineering, control and optimization, computing and numerical analysis, statistical estimation, and stochastic processes.
Audience: This book is intended for use as a reference by applied scientists and engineers.
Contents: 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
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