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Symmetric decomposition of positive definite band matrices

✍ Scribed by R. S. Martin; J. H. Wilkinson


Publisher
Springer-Verlag
Year
1965
Tongue
English
Weight
326 KB
Volume
7
Category
Article
ISSN
0029-599X

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Scaling symmetric positive definite matr
✍ Dianne P. O’Leary πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 85 KB

We give a constructive proof of a theorem of Marshall and Olkin that any real symmetric positive definite matrix can be symmetrically scaled by a positive diagonal matrix to have arbitrary positive row sums. We give a slight extension of the result, showing that given a sign pattern, there is a uniq