The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional
analysis and operator theory to some concrete asymptotic problems of linear algebra. The …

Toeplitz matrices emerge in plenty of applications and have been extensively studied for
about a century. The literature on them is immense and ranges from thousands of articles in …

If a matrix or linear operator A is far from normal, its eigenvalues or, more generally, its
spectrum may have little to do with its behavior as measured by quantities such as|| A n|| or …

This text has two goals. It describes a topic: band and band-dominated operators and their
Fredholm theory, and it introduces a method to study this topic: limit operators. Band …

No part of the material protected by this copyright notice may be reproduced or utilized in
any form or by any means, electronic or mechanical, including photocopying, recording or by …

There is more to the computation of pseudospectra than the obvious algorithm of computing
singular value decompositions on a grid and sending the results to a contour plotter. Other …

Computing the spectra of operators is a fundamental problem in the sciences, with wide-
ranging applications in condensed-matter physics, quantum mechanics and chemistry …

Pseudoâ•fispectra, the harmonic oscillator and complex resonances Page 1 Pseudo-spectra,
the harmonic oscillator and complex resonances By EB Davies Department of Mathematics …

We show that it is possible to compute spectra and pseudospectra of linear operators on
separable Hilbert spaces given their matrix elements. The core in the theory is …