Definitizable hermitian matrix pencils

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1992 English Publisher:Springer Science and Business Media LLCJournal:Aequationes Mathematicae, volume 46, pages 44-55 (issn: 0001-9054, eissn: 1420-8903,

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Authors: LANCASTER, P.; Ye, Qiang;

doi: 10.1007/bf01833997 , 10.1007/bf01835709

Definitizable hermitian matrix pencils

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Abstract

The paper presents three characterizations of strongly definitizable pencils, which generalize the classical results for definite pencils. They are in particular stably simultaneously diagonable. Also this form of stability is discussed with respect to an open subset of the real line. Implications for some quadratic eigenvalue problems are included.

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Keywords

510.mathematics, definite pencils, matrix pencils, strongly definitizable pencils, Matrix pencils, Article, quadratic eigenvalue problems

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