Nonnegative Matrices in the Mathematical Sciences
eBook - PDF

Nonnegative Matrices in the Mathematical Sciences

  1. 334 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Nonnegative Matrices in the Mathematical Sciences

Book details
Table of contents
Citations

About This Book

Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483260860
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonnegative Matrices in the Mathematical Sciences
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. Acknowledgments
  8. Symbols
  9. Chapter 1. Matrices Which Leave a Cone Invariant
  10. Chapter 2. Nonnegative Matrices
  11. Chapter 3. Semigroups of Nonnegative Matrices
  12. Chapter 4. Symmetric Nonnegative Matrices
  13. Chapter 5. Generalized Inverse-Positivity
  14. Chapter 6. M-Matrices
  15. Chapter 7. Iterative Methods for Linear Systems
  16. Chapter 8. Finite Markov Chains
  17. Chapter 9. Input–Output Analysis in Economics
  18. Chapter 10. The Linear Complementarity Problem
  19. References
  20. Index