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dc.contributor.authorTrefethen, Lloyd N.en_US
dc.date.accessioned2007-04-04T16:14:25Z
dc.date.available2007-04-04T16:14:25Z
dc.date.issued1995-12en_US
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/95-226en_US
dc.identifier.urihttps://hdl.handle.net/1813/5561
dc.description.abstractThe following contains mathematical formulae and symbols that may become distorted in ASCII text format. 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 behavor as measured by quantities such as ||A**N|| or ||exp(tA)||. More may be learned by examining the sets in the complex plane known as the "pseudospectra" of A, defined by level curves of the norm of the resolvent, ||(zI - A)**-1||. 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.extent418548 bytes
dc.format.extent585802 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjecttheory centeren_US
dc.titlePseudospectra of Linear Operatorsen_US
dc.typetechnical reporten_US


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