Corrigendum to “Basins of attraction for optimal eighth-order methods to find simple roots of nonlinear equations”
نویسندگان
چکیده
منابع مشابه
Corrigendum to "Basins of attraction for optimal eighth-order methods to find simple roots of nonlinear equations"
Several optimal eighth order methods to obtain simple roots are analyzed. The methods are based on two step, fourth order optimal methods and a third step of modified Newton. The modification is performed by taking an interpolating polynomial to replace either f ðznÞ or f ðznÞ. In six of the eight methods we have used a Hermite interpolating polynomial. The other two schemes use inverse interpo...
متن کاملBasins of attraction for several methods to find simple roots of nonlinear equations
There are many methods for solving a nonlinear algebraic equation. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss several third and fourth order methods to find simple zeros. The relationship between the basins of attraction and the c...
متن کاملBasins of attraction for several third order methods to find multiple roots of nonlinear equations
There are several third order methods for solving a nonlinear algebraic equation having roots of a givenmultiplicitym. Here we compare a recent family of methods of order three to Euler– Cauchy’s method which is found to be the best in the previous work. There are fewer fourth order methods for multiple roots but we will not include them here. Published by Elsevier Inc.
متن کاملCorrigendum to "On a family of Laguerre methods to find multiple roots of nonlinear equations"
There are several methods for solving a nonlinear algebraic equation having roots of a given multiplicity m. Here we compare a family of Laguerre methods of order three as well as two others of the same order and show that Euler–Cauchy’s method is best. We discuss the conjugacy maps and the effect of the extraneous roots on the basins of attraction. Published by Elsevier Inc.
متن کاملBasins of attraction for several optimal fourth order methods for multiple roots
There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity m. Here we compare five such methods, two of which require the evaluation of the (m − 1)st root. The methods are usually compared by evaluating the computational efficiency and the efficiency index. In this paper all the methods have the same efficiency, since they are of the s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2016
ISSN: 0096-3003
DOI: 10.1016/j.amc.2015.12.014