Chapter 3
Three-point non-optimal methods
In Chapter 2 we have presented several two-point methods with order of convergence three and four. None of these methods has order higher than four, which supports the Kung-Traub conjecture that the upper bound of the order of convergence of 
-point methods requiring 
function evaluations is 
. In this chapter we will study three-point methods whose order also cannot reach the Kung-Traub bound . Recall that the ...
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