## 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.

### MSC:

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

 [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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