Root clustering for rational convex regions

DOI10.1016/0016-0032(84)90041-3zbMath0572.15007OpenAlexW2055332377WikidataQ127389672 ScholiaQ127389672MaRDI QIDQ1062112

Shaul Gutman, Fabian Chojnowski

Publication date: 1984

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(84)90041-3

zbMATH Keywords

spectrumroot clusteringroot exclusion

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Distribution of the roots of the characteristic polynomial of an autonomous system
• Regions of polynomial root clustering
• Root clustering of a complex matrix in an algebraic region
• Matrix root clustering in algebraic regions
• Root clustering of a real matrix in an algebraic region
• Complete root distribution with respect to parabolas and some results with respect to hyperbolas and sectors
• Root distribution for the ellipse
• A general theory for matrix root-clustering in subregions of the complex plane

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