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On the Second-order Directional Derivatives of Singular Values of Matrices and Symmetric Matrix-valued Functions

✍ Scribed by Liwei Zhang, Ning Zhang, Xiantao Xiao


Book ID
120780532
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
504 KB
Volume
21
Category
Article
ISSN
1877-0533

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On the sum of k largest singular values
✍ Vladimir Nikiforov πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 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