A new continuation Newton-like method and its deformation. (English) Zbl 1023.65043

Summary: This paper presents a family of new continuation Newton-like methods and its deformations for computing approximate solutions of the nonlinear algebraic equation \(f(x)=0\). From a practical point of view, the new methods are vast superior.


65H05 Numerical computation of solutions to single equations
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations
Full Text: DOI


[1] X.Y. Wu, On A Class of Quadratic Convergence Iteration Formulae without Derivatives, Appl. Math. Comput. 107 (2000) 77-80 · Zbl 1023.65042
[2] J.K. Hale, Ordinary Differential Equations, Roert E. Krieer, New York, 1980 · Zbl 0433.34003
[3] M.W. Hirsch, S. Smale, Differential Equations, Dynamic Systems and Linear Algebra, Academic Press, New York, 1974 · Zbl 0309.34001
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