Superlinear convergence
= Superlinear convergence
{title2=$\|e_{n+1}\|/\|e_n\|\longrightarrow0$}
An iterative sequence converges superlinearly to its <limit> when its nonzero error norms satisfy the displayed ratio condition, or when it reaches the <limit> in finitely many steps. <Quadratic convergence> is a stronger local rate. In contrast, exact <linear convergence> has a positive asymptotic error ratio below one. A superlinear method need not have <quadratic convergence>.