TY  - BOOK
AU  - Lioyd N. Trefeten
AU  - Mark Embree
TI  - Spectra and pseudospectra: : the behavior of nonnormal matrices and operators  
SN  - 9780691119465
AV  - QA320 
PY  - 2005///]
CY  - New Jersey
PB  - Princeton University Press
KW  - Mathematics
N1  - Chapter 1. Introduction 
Chapter 2. Toeolitz Matrics
Chapter 3. Differential Operators
Chapter 4. Transient Effects and Nonnormal Dynamics 
Chapter 5. Fluid Mechanics
Chapter 6. Matrix Iterations 
Chapter 7. Numerical Solution of Differential Equations 
Chapter 8. Random Matrics 
Chapter 9. Computation of Psedospectra
Chapter 10. Further Mathematical issues 
Chapter 11. Further Examples and Applications
N2  - 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.---Summary provided by publisher
ER  -