Journal article
Cone Inclusion Numbers
SIAM journal on matrix analysis and applications, v 19(3), pp 613-639
01 Jul 1998
Abstract
The introduction of cone inclusion numbers allows one to view seemingly different problems from one general perspective. Using this perspective several new results are obtained, such as: (a) the distance constant for $\TT_n \otimes \TT_n$, where $\TT_n $ denotes the algebra of n x n strictly upper triangular matrices, is bounded above by [log2n] + 1$; (b) for every natural number n there exists an n x n partial correlation matrix for which the largest possible minimal eigenvalue of a completion is $1 - \sqrt{\lfloor \frac{n}{2} \rfloor}$; and (c) the lowest possible entry-wise supremum norm among all $n \times n$ matrices that induce a norm one Schur map is $\frac{1}{\sqrt{n}}$.
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2 citations in Scopus
Details
- Title
- Cone Inclusion Numbers
- Creators
- Geir NævdalHugo J Woerdeman
- Publication Details
- SIAM journal on matrix analysis and applications, v 19(3), pp 613-639
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000072580600002
- Scopus ID
- 2-s2.0-0032368325
- Other Identifier
- 991021866369904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied