# How to split the eigenvalues of a one-parameter family of matrices

Still, G.J. (1998) How to split the eigenvalues of a one-parameter family of matrices. [Report]

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 Abstract: We are concerned with families of -matrices depending smoothly on the parameter . We survey results on the behaviour of eigenvalues of for certain classes of matrices. We are especially interested in the question whether multiple eigenvalues can be avoided generically. In the set of families of symmetric matrices , for example, generically all eigenvalues of are simple for all . We consider a class of natural perturbations of a given matrix family such that lies in the generic class, i.e. avoids double eigenvalues `as far as possible'. Item Type: Report Additional information: Imported from MEMORANDA Faculty: Electrical Engineering, Mathematics and Computer Science (EEMCS) Research Group: Link to this item: http://purl.utwente.nl/publications/65651 Export this item as: BibTeXEndNoteHTML CitationReference Manager

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