Improved Newton Iteration for Integral Roots

DOI10.2307/2004924zbMath0215.55502OpenAlexW4239580734MaRDI QIDQ5618881

R. F. King

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2004924

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Approximating the \(p\)th root by composite rational functions ⋮ Rational minimax iterations for computing the matrix \(p\)th root

Cites Work

• Optimal starting approximations for Newton's method
• Optimal starting values for Newton-Raphson calculation of √x ^½
• Optimal Starting Values for the Newton-Raphson Calculation of Inverses of Certain Functions
• The logarithmic error and Newton's method for the square root
• Generalized Rational Chebyshev Approximation
• Best Rational Starting Approximations and Improved Newton Iteration for the Square Root
• Generalized Logarithmic Error and Newton's Method for the mth Root

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