In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new ...

Since the first years of structural biology, Ramachandran map has provided a simple definition curvilinear geometry protein backbone. Its is mainly based on values dihedral angles $$\phi $$ and $$\psi measured between heavy atoms Discontinuities in angle are observed, particularly region $$\beta -strand secondary structure. We introduce new pseudo-dihedral involving hydrogen positions instead s...