We provided in[14]and[15]a semilocal convergence analysis for Newton’s method on a Banach space setting,by splitting the given operator.In this study,we improve the error bounds,order of convergence,and simplify the ...We provided in[14]and[15]a semilocal convergence analysis for Newton’s method on a Banach space setting,by splitting the given operator.In this study,we improve the error bounds,order of convergence,and simplify the sufficient convergence conditions.Our results compare favorably with the Newton-Kantorovich theorem for solving equations.展开更多
文摘We provided in[14]and[15]a semilocal convergence analysis for Newton’s method on a Banach space setting,by splitting the given operator.In this study,we improve the error bounds,order of convergence,and simplify the sufficient convergence conditions.Our results compare favorably with the Newton-Kantorovich theorem for solving equations.