کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602617 1631171 2008 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations
چکیده انگلیسی

In this paper we study Jordan-structure-preserving perturbations of matrices selfadjoint in the indefinite inner product. The main result of the paper is Lipschitz stability of the corresponding affiliation matrices. The result can be reformulated as Lipschitz stability, under small perturbations, of canonical Jordan bases (i.e., eigenvectors and generalized eigenvectors enjoying a certain flipped orthonormality relation) of matrices selfadjoint in the indefinite inner product. The proof relies upon the analysis of small perturbations of invariant subspaces, where the size of a permutation of an invariant subspace is measured using the concepts of a gap and of a semigap.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 8–9, 15 April 2008, Pages 2130-2176