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An interlacing result for Hermitian matrices in Minkowski space
D. B. Janse van Rensburg, A. C. M. Ran, M. van Straaten
In this paper we will look at the well known interlacing problem, but here we consider the result for Hermitian matrices in the Minkowski space, an indefinite inner product space w…
A note on the structure of expansive matrices in indefinite inner product spaces
A. C. M. Ran
A result on the structure of expansive matrices in an indefinite inner product space is derived, which exhibits the largest unitary compression of the matrix.
Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices II
Andre Ran, Michal Wojtylak
We present in this note a correction to Theorem 17 in our earlier paper "Global properties of eigenvalues of parametric rank one perturbations for structured and unstructured matri…
Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization
G. J. Groenewald, M. A. Kaashoek, A. C. M. Ran
As in the paper [G. Groenewald, M.A. Kaashoek, A.C.M. Ran, Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz oper…