On the Change of the Weyr Characteristics of Matrix Pencils After Rank-One Perturbations

The change of the Kronecker structure a matrix pencil perturbed by another rank one has been characterized in terms homogeneous invariant factors and chains column row minimal indices initial pencils. We obtain here new characterization conjugate partitions corresponding both also define generalized Weyr characteristic an arbitrary bounds for it when is one. results improve known on problem hold perturbation pencils any algebraically closed field.