Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate

DOI10.1016/j.apnum.2010.04.006zbMath1203.65081OpenAlexW2057749171MaRDI QIDQ608489

Hassane Allouche, Annie A. M. Cuyt

Publication date: 25 November 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.04.006

zbMATH Keywords

numerical examplesdeflationmeromorphic functionqd-algorithmformally orthogonal Hadamard polynomialsmethod of Bernoullipole detection

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Meromorphic functions of one complex variable (general theory) (30D30) Numerical computation of roots of polynomial equations (65H04)

Related Items (4)

A new algorithm for sparse interpolation of multivariate polynomials ⋮ Accurate quotient-difference algorithm: error analysis, improvements and applications ⋮ Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm ⋮ On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm

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