On optimal iterative methods

Abstract Let \(\left( X,\rho \right)\) be a complete matrix space, the nonlinear mapping \(\varphi:I\subset X\rightarrow X\) and the equation \(x=\varphi…

Solving equations by interpolation

Abstract Let \(X,Y\) be normed spaces, \(G:X\rightarrow Y\) a nonlinear operator, and the nonlinar equation \(G\left( x\right) =0\). We define…

A variant of the Newton method

Abstract Let \(X\) be a Banach space, \(Y\) a normed space, \(P:X\rightarrow Y\) a nonlinear operator and the equation \(P\left(…

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