A further analysis of backward error in polynomial deflation

DOI10.1007/s10543-018-0724-yzbMath1412.26030OpenAlexW2894988208WikidataQ129163178 ScholiaQ129163178MaRDI QIDQ1731614

Xianqiang Yang

Publication date: 13 March 2019

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-018-0724-y

zbMATH Keywords

backward error analysistropical polynomialpolynomial deflation

Mathematics Subject Classification ID

Roundoff error (65G50) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Uses Software

• mctoolbox
• na20

Cites Work

• Unnamed Item
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• A 2002 update of the supplementary bibliography on roots of polynomials
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• A NEW Method of Polynomial Deflation
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• Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
• Asymptotics of the Perron eigenvalue and eigenvector using max-algebra
• Error Propagation in Numerical Processes
• Accuracy and Stability of Numerical Algorithms
• Practical Problems Arising in the Solution of Polynomial Equations

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