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Generalized Inverses of Linear Transformations

Generalized Inverses of Linear Transformations

£56.00

Part of Classics in Applied Mathematics

  • Date Published: March 2009
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716719

£ 56.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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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, 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.

    • An excellent reference for researchers and students who need or want more than just the most basic elements
    • A classic which was first published in 1979, yet still remains up-to-date
    • Includes chapters on Markov chains and the Drazin inverse methods that have become significant to many problems in applied mathematics
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    Product details

    • Date Published: March 2009
    • format: Paperback
    • isbn: 9780898716719
    • length: 184 pages
    • dimensions: 228 x 152 x 15 mm
    • weight: 0.4kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

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

  • Authors

    Stephen L. Campbell, North Carolina State University
    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, North Carolina State University
    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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