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Cholesky decomposition of the Hilbert matrix

✍ Scribed by Hitotumatu, Sin

Book ID
113001391
Publisher
Springer-Verlag
Year
1988
Weight
734 KB
Volume
5
Category
Article
ISSN
0910-2043

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πŸ“œ SIMILAR VOLUMES

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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.

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It is shown that, for a one-centre universal even-tempered basis set containing N functions, only N of the N(N + 1)/2 eigenvalues of the two-electron integral matrix are larger than some small ΓΆ as N becomes large and thus only N of the rows or columns of the matrix are linearly independent in this