Generalized Inverses of Linear Transformations (Classics in Applied Mathematics)

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9780898716719: Generalized Inverses of Linear Transformations (Classics in Applied Mathematics)
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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.

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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Book Description:

This reference book provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications. It will be useful as a reference text for applied scientists and engineers.

About the Author:

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.

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Other Popular Editions of the Same Title

9780486666938: Generalized Inverses of Linear Transformations

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ISBN 10:  048666693X ISBN 13:  9780486666938
Publisher: Dover Publications, 1991
Softcover

9780273084228: Generalized Inverses of Linear Transformations (Surveys and reference works in mathematics)

Pitman..., 1979
Hardcover

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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2009. Paperback. Condition: New. Language: English. Brand new Book. 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, and 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. Seller Inventory # AAN9780898716719

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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2009. Paperback. Condition: New. Language: English. Brand new Book. 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, and 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. Seller Inventory # AAN9780898716719

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