Approximations of Antieigenvalue and Antieigenvalue-Type Quantities | Zendy

Morteza Seddighin | Zendy

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Approximations of Antieigenvalue and Antieigenvalue-Type Quantities

Author(s) -

Morteza Seddighin

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/318214

Subject(s) - mathematics , type (biology) , section (typography) , operator (biology) , sequence (biology) , limit (mathematics) , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , genetics , repressor , advertising , transcription factor , gene , business , biology

We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type inequalities are analogous to those of antieigenvalue and Kantorovich inequality. In the second section, we approximate several antieigenvalue-type quantities for arbitrary accretive operators. Each antieigenvalue-type quantity is approximated in terms of the same quantity for normal matrices. In particular, we show that for an arbitrary accretive operator, each antieigenvalue-type quantity is the limit of the same quantity for a sequence of finite-dimensional normal matrices

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