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Viser: Generalized Inverses of Linear Transformations
Generalized Inverses of Linear Transformations
Stephen L. Campbell og Carl D. Meyer
(2008)
Sprog: Engelsk
Society for Industrial and Applied Mathematics
1.299,00 kr.
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Detaljer om varen
- Paperback: 292 sider
- Udgiver: Society for Industrial and Applied Mathematics (December 2008)
- Forfattere: Stephen L. Campbell og Carl D. Meyer
- ISBN: 9780898716719
Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. This book is an excellent reference for researchers and students who need or want more than just the most basic elements. First published in 1979, the book remains up-to-date and readable; it includes chapters on Markov Chains and the Drazin inverse methods that have become significant to many problems in applied mathematics.
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.
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.
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
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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