Monotone operator
= Monotone operator
{wiki}
An operator $F$ on an <inner-product space> is monotone when
$$
\langle F(v)-F(w),v-w\rangle\geq0
$$
for every $v,w$. The <gradient> of every differentiable <convex function> is monotone.
= Monotone operator
{wiki}
An operator $F$ on an <inner-product space> is monotone when
$$
\langle F(v)-F(w),v-w\rangle\geq0
$$
for every $v,w$. The <gradient> of every differentiable <convex function> is monotone.