Regions of polynomial root clustering

DOI10.1016/0016-0032(77)90009-6zbMath0374.30002OpenAlexW2014759796MaRDI QIDQ1245331

Eliahu I. Jury, Theodore A. Bickart

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0016-0032(77)90009-6

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Polynomial root clustering ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ Application of an elimination method to the study of the geometry of zeros of real polynomials ⋮ Root clustering for rational convex regions ⋮ Complete root distribution with respect to parabolas and some results with respect to hyperbolas and sectors

Cites Work

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• On the stability of the<tex>A</tex>matrix inside the unit circle
• Arithmetic tests forA-stability,A[α-stability, and stiff-stability]
• A simple test for zeros of a complex polynomial in a sector
• A Generalization of a Theorem of Bôcher
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS

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