Ancient Chinese algorithm: The ying buzu shu (method of surplus and deficiency) vs Newton iteration method

DOI10.1007/BF02438379zbMath1023.01002MaRDI QIDQ1400085

Ji-Huan He

Publication date: 13 August 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

nonlinear oscillatorsChinese double-false position method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) History of numerical analysis (65-03) History of Chinese mathematics (01A25)

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Cites Work

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• Ancient Chinese mathematics: the \textit{Jiu Zhang Suan Shu} vs Euclid's \textit{Elements}. Aspects of proof and the linguistic limits of knowledge
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Newton-like iteration method for solving algebraic equations
• Homotopy perturbation technique
• Improvement of Newton Iteration Method
• Α Review on Some New Recently Developed Nonlinear Analytical Techniques

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