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On the submultiplicativeness of some matrix norms

โœ Scribed by J.K. Merkoski


Publisher
Elsevier Science
Year
1981
Weight
197 KB
Volume
21
Category
Article
ISSN
0041-5553

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We show that a certain matrix norm ratio studied by Parlett has a supremum that is O(&) when the chosen norm is the Frobenius norm, while it is O(1og n) for the 2-norm. This ratio arises in Parlett's analysis of the Cholesky decomposition of an n by n matrix.