Title :
On a Steffensen Type Method
Author :
Ion Pavaloiu;Emil Catinas
Abstract :
We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show how the auxiliary functions may be constructed and we analyze some conditions on them which lead to monotone approximations. We obtain some local convergence results, which are illustrated by some numerical examples.
Keywords :
"Interpolation","Lagrangian functions","Polynomials","Equations","Scientific computing","Numerical analysis","Convergence of numerical methods"
Conference_Titel :
Symbolic and Numeric Algorithms for Scientific Computing, 2007. SYNASC. International Symposium on
Print_ISBN :
978-0-7695-3078-8
DOI :
10.1109/SYNASC.2007.83
