论文信息 - Stabilization by a diagonal matrix

Stabilization by a diagonal matrix

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

C. Ballantine | C. S. Ballantine

[1] K. Fan. Topological proofs for certain theorems on matrices with non-negative elements , 1958 .

[2] A. T. Fuller,et al. On the stabilization of matrices and the convergence of linear iterative processes , 1958, Mathematical Proceedings of the Cambridge Philosophical Society.