Spectra and Pseudospectra
eBook - PDF

Spectra and Pseudospectra

The Behavior of Nonnormal Matrices and Operators

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

Spectra and Pseudospectra

The Behavior of Nonnormal Matrices and Operators

About this book

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in.


This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

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Yes, you can access Spectra and Pseudospectra by Lloyd N. Trefethen,Mark Embree in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-title Page
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Contents
  7. Preface
  8. Acknowledgments
  9. I. Introduction
  10. II. Toeplitz Matrices
  11. III. Differential Operators
  12. IV. Transient Effects and Nonnormal Dynamics
  13. V. Fluid Mechanics
  14. VI. Matrix Iterations
  15. VII. Numerical Solution of Differential Equations
  16. VIII. Random Matrices
  17. IX. Computation of Pseudospectra
  18. X. Further Mathematical Issues
  19. XI. Further Examples and Applications
  20. References
  21. Index