A secant method for multiple roots

Autor: King, Richard F.
Zdroj: BIT Numerical Mathematics; September 1977, Vol. 17 Issue: 3 p321-328, 8p
Abstrakt: A superlinear procedure for finding a multiple root is presented. In it the secant method is applied to the given function divided by a divided difference whose increment shrinks toward zero as the root is approached. Two function evaluations per step are required, but no derivatives need be calculated.
Databáze: Supplemental Index