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Transformations of matrices into banded form

✍ Scribed by Laurette S Tuckerman


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
731 KB
Volume
84
Category
Article
ISSN
0021-9991

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Sets of possible Jordan forms of nilpotent matrices with a given upper triangular part are studied. It is proved that, for generic matrices within a set of triangular band matrices, the set of Jordan forms contains a unique minimal (in the sense of majorization) Jordan form. Moreover, in the generic