dc.contributor.author Trefethen, Lloyd N. en_US dc.date.accessioned 2007-04-23T18:05:03Z dc.date.available 2007-04-23T18:05:03Z dc.date.issued 1995-11 en_US dc.identifier.citation http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR95-1556 en_US dc.identifier.uri https://hdl.handle.net/1813/7213 dc.description.abstract The advent of ever more powerful computers has brought with it a new way of conceiving some of the fundamental eigenvalue problems of applied mathematics. 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 $\EtA$.\ \ More may be learned by examining the sets in the complex plane known as the {\it pseudospectra} of $A$, defined by level curves of the norm of the resolvent, $\Resz$. Five years ago, the author published a paper that presented computed pseudospectra of thirteen highly non-normal matrices arising in various applications. Since that time, analogous computations have been carried out for differential and integral operators. This paper, a companion to the earlier one, presents ten examples, each chosen to illustrate one or more mathematical or physical principles. en_US dc.format.extent 418550 bytes dc.format.extent 585802 bytes dc.format.mimetype application/pdf dc.format.mimetype application/postscript dc.language.iso en_US en_US dc.publisher Cornell University en_US dc.subject computer science en_US dc.subject technical report en_US dc.title Pseudospectra of linear operators en_US dc.type technical report en_US
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