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Revisiting the stability of computing the roots of a quadratic polynomial

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Publication:2341381
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zbMath1312.65074arXiv1409.8072MaRDI QIDQ2341381

Nicola Mastronardi, Paul Van Dooren

Publication date: 24 April 2015

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8072

zbMATH Keywords

rootsquadratic polynomialnumerical stabilitynumerical experimentbackward stability


Mathematics Subject Classification ID

Roundoff error (65G50) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Polynomials and rational functions of one complex variable (30C10) Numerical computation of roots of polynomial equations (65H04)


Related Items

An Algorithm for the Complete Solution of the Quartic Eigenvalue Problem, Backward error measures for roots of polynomials, Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder, Backward error and conditioning of Fiedler companion linearizations


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  • mctoolbox


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