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- W2912046967 abstract "Let [Formula: see text] and [Formula: see text] be entire matrix-valued functions of a complex argument [Formula: see text] (entire matrix pencils) and [Formula: see text]. Let [Formula: see text] and [Formula: see text] denote the numbers of the characteristic values of [Formula: see text] taken with their multiplicities located inside and outside [Formula: see text], respectively. Besides [Formula: see text] can be infinite. We consider the following problem: how “close” should be [Formula: see text] and [Formula: see text] in order to provide the equalities [Formula: see text] and [Formula: see text]? We restrict ourselves by the entire pencils of order not more than two. Our results are new even for polynomial pencils." @default.
- W2912046967 created "2019-02-21" @default.
- W2912046967 creator A5004428697 @default.
- W2912046967 date "2019-04-04" @default.
- W2912046967 modified "2023-09-26" @default.
- W2912046967 title "Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations" @default.
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- W2912046967 doi "https://doi.org/10.1142/s1793557120500977" @default.
- W2912046967 hasPublicationYear "2019" @default.
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