Doubly stochastic matrices with prescribed positive spectrum
If \(\Lambda\) is a set of real numbers \(\{\lambda_ 1,\lambda_ 2,...,\lambda_ n\}\) such that \(1=\lambda_ 1\geq \lambda_ 2\geq...\geq \lambda_ n>0\), there exists a symmetric doubly stochastic matrix A whose spectrum is \(\Lambda\).
scientific article; zbMATH DE number 3877362