...q-superlinearly
$\bold{x}_n \rightarrow \bold{x}^*\mbox{ q-superlinearly if}$

\begin{displaymath} lim_{n \rightarrow \infty}\frac{\parallel \bold{x}_{n+1}-\bo... ...* \parallel} {\parallel \bold{x}_n-\bold{x}^* \parallel}=0. \end{displaymath}

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...R-linearly
$\bold{x}_n \rightarrow \bold{x}^*\mbox{ R-linearly if there is a constant } 0 \leq r <1 \mbox{ such that }$

\begin{displaymath} f(\bold{x}_k)-f(\bold{x}^*)\leq r^k[f(\bold{x}_0)-f(\bold{x}^*)]. \end{displaymath}

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Stanford Exploration Project
4/27/2000