The local convergence analysis of a seventh order algorithm for solving nonlinear equations is presented inthe current discussion by assuming that the ?rst-order Fréchet derivative belongs to Lipschitz class. Thisapproach yields radii ball, error bound and uniqueness solution. Further, generalizationof study extended considering Hölder continuity condition. At last, we estimated theconvergence ...

This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ideals are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amena...

In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...