A local convergence analysis of Chebyshev-Halley method having third order of convergence for approximating zero of non-linear operator f(v)=0 by using convex majorant function and their condition in B-space(Banach sp...A local convergence analysis of Chebyshev-Halley method having third order of convergence for approximating zero of non-linear operator f(v)=0 by using convex majorant function and their condition in B-space(Banach space),is presented in this article.We give the error estimate to show the efficiency of our study.Besides,we established the relation between majorant function and Kantorovich or Smale-type result as special cases of our general theory.展开更多
文摘A local convergence analysis of Chebyshev-Halley method having third order of convergence for approximating zero of non-linear operator f(v)=0 by using convex majorant function and their condition in B-space(Banach space),is presented in this article.We give the error estimate to show the efficiency of our study.Besides,we established the relation between majorant function and Kantorovich or Smale-type result as special cases of our general theory.
