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Normal degree
Author(s) -
Gustafson Karl
Publication year - 2004
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.369
Subject(s) - degree (music) , mathematics , combinatorics , interval (graph theory) , polynomial , degree of a polynomial , matrix (chemical analysis) , discrete mathematics , mathematical analysis , physics , acoustics , materials science , composite material
The H ‐normal degree n ( A , H ) associated with GCG‐LS algorithms is shown to be independent of H , thereby correcting an incompleteness in the literature. The normal degree n ( A ) for any normalizable matrix A when n ( A )>1 is shown to sometimes occur sharply in the interval $\sqrt{m}$ ≦ n ( A )≦ m −1, where m is the degree of A 's minimum polynomial, thereby clarifying previous estimates in the literature. Copyright © 2004 John Wiley & Sons, Ltd.
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