On Perturbation Theorems for the Generalized Eigenvalues of Regular Matrix Pairs†
نویسنده
چکیده
In this paper, we study the Bauer-Fike type theorems for regular matrix pairs and its general form. Besides these, we also obtain some bounds for measuring approximate generalized eigenvalues and for the perturbation of generalized eigenvalues concerning an approximate generalized invariant subspace. To estimate all these bounds, p-Hölder norm and an ad hoc pseudo-metric called p-Chordal matric which isn’t a metric on the Riemann sphere when p 6= 2 are used. §
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