Spectra and Pseudospectra

The Behavior of Nonnormal Matrices and Operators

Lloyd N. Trefethen, Mark Embree - Collection Mathematics / Complexity

606 pages, parution le 14/09/2005

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Résumé

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.

L'auteur - Lloyd N. Trefethen

Lloyd N. Trefethen is Professor of Numerical Analysis and Head of the Numerical Analysis Group at the University of Oxford.

L'auteur - Mark Embree

Mark Embree is Assistant Professor of Computational and Applied Mathematics at Rice University.

Sommaire

Preface
Acknowledgments
Introduction
Toeplitz Matrices
Differential Operators
Transient Effects and Nonnormal Dynamics
Fluid Mechanics
Matrix Iterations
Numerical Solution of Differential Equations
Random Matrices
Computation of Pseudospectra
Further Mathematical Issues
Further Examples and Applications
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Lloyd N. Trefethen, Mark Embree
Collection	Mathematics / Complexity
Parution	14/09/2005
Nb. de pages	606
Format	16 x 24
Couverture	Relié
Poids	1013g
Intérieur	Noir et Blanc
EAN13	9780691119465
ISBN13	978-0-691-11946-5