Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators - Hardcover

Trefethen, Lloyd N.; Embree, Mark

Hardcover

ISBN 10: 0691119465 ISBN 13: 9780691119465

Publisher: Princeton University Press, 2005

Synopsis

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.

About this title

About the Author

Lloyd N. Trefethen is Professor of Numerical Analysis and Head of the Numerical Analysis Group at the University of Oxford. Mark Embree is Assistant Professor of Computational and Applied Mathematics at Rice University.

Edition details

• Publisher: Princeton University Press
• Publication date: 2005
• Language: English
• ISBN 10: 0691119465
• ISBN 13: 9780691119465
• Binding: Hardcover
• Number of pages: 624