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Pseudospectra of Linear Operators
dc.contributor.author | Trefethen, Lloyd N. | en_US |
dc.date.accessioned | 2007-04-04T16:14:25Z | |
dc.date.available | 2007-04-04T16:14:25Z | |
dc.date.issued | 1995-12 | en_US |
dc.identifier.citation | http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/95-226 | en_US |
dc.identifier.uri | https://hdl.handle.net/1813/5561 | |
dc.description.abstract | The 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.extent | 418548 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 | theory center | en_US |
dc.title | Pseudospectra of Linear Operators | en_US |
dc.type | technical report | en_US |