论文信息 - On perturbations and the equivalence orbit of a matrix pencil

On perturbations and the equivalence orbit of a matrix pencil

Abstract Two theorems on the canonical Kronecker form of a perturbed matrix pencil and the characterization of the closure of the set of all matrix pencils with a fixed Kronecker canonical form are given.

A. Pokrzywa | Andrzej Pokrzywa

[1] The closure of the similarity orbit of a Hilbert space operator , 1982 .

[2] Tosio Kato,et al. Perturbation theory for nullity, deficiency and other quantities of linear operators , 1958 .

[3] F. R. Gantmakher. The Theory of Matrices , 1984 .

[4] G. Stewart. On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$ , 1972 .

[5] P. Dooren. The Computation of Kronecker's Canonical Form of a Singular Pencil , 1979 .

[6] N. Aronszajn,et al. ALGEBRAIC SPECTRAL PROBLEMS. , 1968 .