Structured backward error and condition of generalized eigenvalue problems
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Higham, D.J. and Higham, N.J. (1998) Structured backward error and condition of generalized eigenvalue problems. SIAM Journal on Matrix Analysis and Applications, 20 (2). pp. 493-512. ISSN 0895-4798 (http://dx.doi.org/10.1137/S0895479896313188)
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Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of generalized eigenvalue problems. Both normwise and componentwise measures are used. Unstructured problems are considered first, and then the basic definitions are extended so that linear structure in the coefficient matrices (for example, Hermitian, Toeplitz, Hamiltonian, or band structure) is preserved by the perturbations.
ORCID iDs
Higham, D.J. ORCID: https://orcid.org/0000-0002-6635-3461 and Higham, N.J.;-
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Item type: Article ID code: 184 Dates: DateEvent1998PublishedSubjects: Science > Mathematics > Electronic computers. Computer science
Science > MathematicsDepartment: Faculty of Science > Mathematics and Statistics Depositing user: Ms Sarah Scott Date deposited: 02 Mar 2006 Last modified: 11 Nov 2024 08:13 URI: https://strathprints.strath.ac.uk/id/eprint/184
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