Stabilization by a diagonal matrix
Charles S. Ballantine · Proceedings of the American Mathematical Society · 1970
In this paper it is shown that, given a complex square matrix A A all of whose leading principal minors are nonzero, there is a diagonal matrix D D such that the product D A DA of the two matrices has all its characteristic roots positive and simple. This result is already known for real A A , but two new proofs for this case are given here.