Browsing Faculty of Natural and Agricultural Sciences by Subject "rank one perturbation"
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Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations
(Springer Verlag, 2014)We study the perturbation theory of structured matrices under structured rank one perturbations, with emphasis on matrices that are unitary, orthogonal, or symplectic with respect to an indefinite inner product. The rank ... -
Jordan forms of real and complex matrices under rank one perturbations
(Element, Zagreb, 2013)New perturbation results for the behavior of eigenvalues and Jordan forms of real and complex matrices under generic rank one perturbations are discussed. Several results that are available in the complex case are proved ... -
A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable?
(Elsevier, 2014)The positive stability and D-stability of singular M-matrices, perturbed by (non-trivial) nonnegative rank one perturbations, is investigated. In special cases positive stability or D-stability can be established. In full ...