New third order nonlinear solvers for multiple roots

ct 7 Two third order methods for finding multiple zeros of nonlinear functions are developed. One method is based on 8 Chebyshev's third order scheme (for simple roots) and the other is a family based on a variant of Chebyshev's which does 9 not require the second derivative. Two other more efficient methods of lower order are also given. These last two methods 10 are variants of Chebyshev's and Osada's schemes. The informational efficiency of the methods is discussed. All these meth11 ods require the knowledge of the multiplicity. 12 Published by Elsevier Inc.

• Type: Journal
• Year: 2008
• Where: AMC
• Authors: B. Neta
• Keywords: AMC 2008, Multiple Zeros, Nonlinear Functions, Order Methods