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On the singularity of matrices

โœ Scribed by Don Coppersmith; Alan J. Hoffman


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
76 KB
Volume
411
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


If B is a singular complex matrix, there is a singular C whose entries are the same magnitude as those of B, and all but two of Cs entries are real.


๐Ÿ“œ SIMILAR VOLUMES


On the sum of k largest singular values
โœ Vladimir Nikiforov ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

In the recent years, the trace norm of graphs has been extensively studied under the name of graph energy. The trace norm is just one of the Ky Fan k-norms, given by the sum of the k largest singular values, which are studied more generally in the present paper. Several relations to chromatic number