Construction of real symmetric and per-antisymmetric matrices with prescribed spectrum data

Existence and construction of nonnegativ

Existence and construction of nonnegative matrices with prescribed spectrum

✍ Ricardo L. Soto 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 139 KB

We consider the following inverse spectrum problem for nonnegative matrices: given a set of real numbers σ = {λ 1 , λ 2 , . . . , λ n }, find necessary and sufficient conditions for the existence of an n × n nonnegative matrix A with spectrum σ . In particular, by the use of a relevant theorem of Br