On the Construction of Positive Definite Doubly Arrow Matrix from Two Eigenpairs
Kanmin Wang, Zhibing Liu, Chengfeng Xu · 2011
A class of inverse eigenvalue problem is proposed for real symmetric positive definite Arrow matrices. Necessary and sufficient conditions for the existence of a unique solution of this problem, as well as the analytic formula of this solution are derived, Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.