On the Geršgorin-type localizations for nonlinear eigenvalue problems
作者： V. Kostić , D. Gardašević
DOI: 10.1016/J.AMC.2018.05.018
关键词: Eigenvalues and eigenvectors 、 Type (model theory) 、 Applied mathematics 、 Matrix (mathematics) 、 Nonlinear system 、 Set (abstract data type) 、 Diagonally dominant matrix 、 Complex plane 、 Quadratic equation 、 Computer science
摘要: Abstract Since nonlinear eigenvalue problems appear in many applications, the research on their proper treatment has drawn a lot of attention lately. Therefore, there is need to develop computationally inexpensive ways localize eigenvalues matrix-valued functions complex plane, especially quadratic matrix polynomials. Recently, few variants Gersgorin localization set for more general problems, pencils and ones, were developed investigated. Here, we introduce approach Gersgorin-type sets case using diagonal dominance, prove some properties such show how they perform several engineering.
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