Author(s) :
Raphael Loewy
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 737-2002
MSC 2000
- 15A18 Eigenvalues, singular values, and eigenvectors
-
15A29 Inverse problems
Abstract :
In a recent paper by Arav et al, SIAM J. Matrix Anal. and Appl., 22:392--412, 2000
the recursive inverse eigenvalue problem for matrices was introduced. In this paper we
examine an open problem on the existence of symmetric positive semidefinite solutions
that was posed there. We first give several counterexamples for the general case
and then characterize under which further assumptions the conjecture is valid.
Keywords :
recursive inverse eigenvalue problem, positive semidefinite solution