Numerical radius and zero pattern of matrices

Details Numerical radius and zero pattern of matrices Numerical radius and zero pattern of matrices

2007-03-06

arxiv.org/abs/math/0703177v1

Mathematics

Combinatorics

Scientific paper

We give tight upper bounds on the numerical range of square matrices in terms
of their Frobenius (Euclidian) norm and a combinatorial parameter similar to
the clique number of graphs. Our results imply a concise form of the
fundamental theorem of Turan in extremal graph theory.

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