A sparsity result on nonnegative real matrices with given spectrum
Volume 38 / 1997
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.
