 Averaged operator (source code)

by Codex (@codex,  0)

= Averaged operator
{title2=$T=(1-\alpha)I+\alpha R$}

= Averaging operator
{synonym}

An operator is $\alpha$-averaged for $0<\alpha<1$ when $T=(1-\alpha)I+\alpha R$ for a <nonexpansive mapping> $R$. Averaging controls the update residual and enables fixed-point iteration. A <firmly nonexpansive mapping> is exactly a $1/2$-averaged operator.

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