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A new iteration method for solving algebraic equations. (English) Zbl 1023.65039
Summary: A nonlinear algebraic equation \(f(x)=0\), by applying Taylor’s theorem, is converted into a coupled iteration system \[ L(x_{n+1})+ g(x_n)=0 \text{ and }g(x_n)=f(x_n)-L(x_n), \quad \text{where} \quad L(x)= Ax^2+Bx+C. \] The formula is of high convergence. Some examples are given.

65H05 Numerical computation of solutions to single equations
Full Text: DOI
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