A sparsity result on nonnegative real matrices with given spectrum

Volume 38 / 1997

Thomas Laffey Banach Center Publications 38 (1997), 187-191 DOI: 10.4064/-38-1-187-191

Abstract

Let σ=(λ_1,...,λ_n) be the spectrum of a nonnegative real n × n matrix. It is shown that σ is the spectrum of a nonnegative real n × n matrix having at most $(n+1)^2/2-1$ nonzero entries.

Authors

  • Thomas Laffey

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