New algorithm for polynomial spectral factorization with quadratic convergence. I
New algorithm for polynomial spectral factorization with quadratic convergence. II
New modification of Maheshwari’s method with optimal eighth order convergence for solving nonlinear equations
In this paper, we present a family of three-point with eight-order convergence methods for finding the simple roots of nonlinear equations by suitable approximations and weight function based on Maheshwari’s method. Per iteration this method requires three evaluations of the function and one evaluation of its first derivative. These class of methods have the efficiency index equal to [...] 814≈1.682. We describe the analysis of the proposed methods along with numerical experiments including comparison...
Newton-like algorithms for kth root calculation
Newton's method for solutions of quasi-Bessel differential equations.
Note sur la méthode Bernoulli.
Numerical condition of polynomials in different forms.
Numerické řešení algebraických rovnic Bernoulli-Whittakerovou metodou
Numerische Lösung algebraischer Gleichungen mittels Anwendung eines Wurzelortverfahrens