TITLE:
On Open Problems of Nonnegative Inverse Eigenvalues Problem
AUTHORS:
Jun-Liang Wu
KEYWORDS:
Inverse Eigenvalues Problem, Nonnegative Inverse Eigenvalues Problem, Solvability, Nonnegative Matrix, Spectrum of Matrix
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
28,
2011
ABSTRACT: In this paper, we give solvability conditions for three open problems of nonnegative inverse eigenvalues problem (NIEP) which were left hanging in the air up to seventy years. It will offer effective ways to judge an NIEP whether is solvable.