ISSN:
1573-8876
Keywords:
Hermitean matrix
;
unitary matrix
;
band form of a matrix
;
unitary reduction
;
Krylov sequence
;
Lanczos procedure
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract It is proved in the paper that any low rank perturbation of a Hermitian matrix is unitarily reducible to band form. Moreover, if a normal matrix is unitarily reducible to band form, then any of its rank one perturbations is unitarily reducible as well.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02313033
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