Nonnegative Matrices, Positive Operators, and Applications
eBook - PDF

Nonnegative Matrices, Positive Operators, and Applications

  1. 364 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonnegative Matrices, Positive Operators, and Applications

About this book

Nonnegative matrices and positive operators are widely applied in science, engineering, and technology. This book provides the basic theory and several typical modern science and engineering applications of nonnegative matrices and positive operators, including the fundamental theory, methods, numerical analysis, and applications in the Google search engine, computational molecular dynamics, and wireless communications.

Unique features of this book include the combination of the theories of nonnegative matrices and positive operators as well as the emphasis on applications of nonnegative matrices in the numerical analysis of positive operators, such as Markov operators and Frobenius–Perron operators both of which play key roles in the statistical and stochastic studies of dynamical systems.

It can be used as a textbook for an upper level undergraduate or beginning graduate course in advanced matrix theory and/or positive operators as well as for an advanced topics course in operator theory or ergodic theory. In addition, it serves as a good reference for researchers in mathematical sciences, physical sciences, and engineering.

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Yes, you can access Nonnegative Matrices, Positive Operators, and Applications by Jiu Ding, Aihui Zhou;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Contents
  2. Preface
  3. 1. Elementary Properties of Nonnegative Matrices
  4. 2. The Perron-Frobenius Theory for Nonnegative Matrices
  5. 3. Stochastic Matrices
  6. 4. Applications of Nonnegative Matrices
  7. 5. Fundamental Theory of Positive Operators
  8. 6. The Spectral Theory of Positive Operators
  9. 7. Markov Operators
  10. 8. Frobenius-Perron Operators
  11. 9. Composition Operators
  12. 10. Approximations of Markov Operators
  13. 11. Applications of Positive Operators
  14. Appendix A Foundations of Matrix Theory
  15. Appendix B Basic Operator Theory
  16. Bibliography
  17. Index