A new localization set for generalized eigenvalues

DOI10.1186/s13660-017-1388-xzbMath1381.15006OpenAlexW2616735665WikidataQ33689959 ScholiaQ33689959MaRDI QIDQ1689674

Jing Gao, Chaoqian Li

Publication date: 17 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1388-x

zbMATH Keywords

numerical examplesmatrix pencilgeneralized eigenvalueinclusion set

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Matrix pencils (15A22)

Related Items (1)

Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations

Cites Work

• Unnamed Item
• Fields of values and inclusion regions for matrix pencils
• Geršgorin-type localizations of generalized eigenvalues
• Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric
• An alternative to the Brauer set
• The stability robustness of generalized eigenvalues
• Gershgorin Theory for the Generalized Eigenvalue Problem Ax = λBx

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