EIGENTEST: A Test Matrix Generator for Large-Scale Eigenproblems

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dc.contributor.authorLee, Che Rung
dc.contributor.authorStewart, G. W.
dc.date.accessioned2006-02-13T19:44:17Z
dc.date.available2006-02-13T19:44:17Z
dc.date.issued2006-02-13T19:44:17Z
dc.description.abstractEigentest is a package that produces real test matrices with known eigensystems. A test matrix, called an eigenmat, is generated in a factored form, in which the user can specify the eigenvalues and has some control over the condition of the eigenvalues and eigenvectors. An eigenmat A of order n requires only O(n) storage for its representation. Auxiliary programs permit the computation of (A - sI)*b, (A - sI)'*b, inv(A - sI)*b, and inv(A - sI)*b in O(n) operations. A special routine computes specified eigenvectors of an eigenmat and the condition of its eigenvalue. Thus eigenmats are suitable for testing algorithms based on Krylov sequences, as well as others based on matrix-vector products. This paper introduces the eigenmat and describes implementations in Fortran~77, Fortran~95, C, and Matlab.en
dc.format.extent182794 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/3328
dc.language.isoen_USen
dc.relation.ispartofseriesUM Computer Science Departmenten
dc.relation.ispartofseriesCS-TR-4783en
dc.relation.ispartofseriesUMIACSen
dc.relation.ispartofseriesUMIACS-TR-2006-07en
dc.titleEIGENTEST: A Test Matrix Generator for Large-Scale Eigenproblemsen
dc.typeTechnical Reporten

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