
Generalized Inverses of Linear Transformations
Society for Industrial & Applied Mathematics,U.S. (Publisher)
Published on 30. December 2008
Book
Paperback/Softback
292 pages
978-0-89871-671-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 247 mm
Width: 170 mm
Thickness: 15 mm
Weight
399 gr
ISBN-13
978-0-89871-671-9 (9780898716719)
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Schweitzer Classification
Persons
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.
Content
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
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