Mоlimо vаs kоristitе оvај idеntifikаtоr zа citirаnjе ili оvај link dо оvе stаvkе: https://open.uns.ac.rs/handle/123456789/1125
Nаziv: On the Geršgorin-type localizations for nonlinear eigenvalue problems
Аutоri: Kostić, Vladimir 
Gardašević D.
Dаtum izdаvаnjа: 15-нов-2018
Čаsоpis: Applied Mathematics and Computation
Sažetak: © 2018 Elsevier Inc. Since nonlinear eigenvalue problems appear in many applications, the research on their proper treatment has drawn a lot of attention lately. Therefore, there is a need to develop computationally inexpensive ways to localize eigenvalues of nonlinear matrix-valued functions in the complex plane, especially eigenvalues of quadratic matrix polynomials. Recently, few variants of the Geršgorin localization set for more general eigenvalue problems, matrix pencils and nonlinear ones, were developed and investigated. Here, we introduce a more general approach to Geršgorin-type sets for nonlinear case using diagonal dominance, prove some properties of such sets and show how they perform on several problems in engineering.
URI: https://open.uns.ac.rs/handle/123456789/1125
ISSN: 00963003
DOI: 10.1016/j.amc.2018.05.018
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