Counting Zeros of Real Polynomials within the Unit Disk

DOI10.1137/0720072zbMath0532.65013OpenAlexW1963682725MaRDI QIDQ3314844

C. W. Schelin

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720072

zbMATH Keywords

Sturm sequencesSchur-Cohn testCauchy indicespolynomial evaluation on the unit circle

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) Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

An algorithm for locating all zeros of a real polynomial ⋮ Sturm sequences and the number of zeros of a real polynomial in the unit disk: Numerical computation ⋮ Numerical computation of the number of zeros of real polynomials in the open unit disk using a Chebyshev polynomials representation ⋮ Tchebyshev triangulations of stable simplicial complexes ⋮ A simplified stability test for 1-D discrete systems

Uses Software

• EISPACK

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