Improving the efficiency index of one-point iterative processes

✍ Scribed by J.A. Ezquerro; M.A. Hernández; N. Romero

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 932 KB
• Volume: 223
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.03.004

✦ Synopsis

A priori error estimates R-order of convergence Multipoint iterations Boundary value problem a b s t r a c t From the ideas of improving the speed of convergence and reducing the computational cost of one-point iterations, a new uniparametric family of multipoint iterations is constructed in Banach spaces to solve nonlinear equations. The semilocal convergence and the R-order of convergence of the new iterations are analyzed and numerical tests are also given.