Local minimum
= Local minimum
= Local minima
{synonym}
A local minimum is a local form of an <extremum of a real-valued function>.
A function has a local minimum at $x_0$ when $f(x)\geq f(x_0)$ throughout some neighbourhood of $x_0$. For a twice differentiable function, its <Hessian matrix> at an interior local minimum is <positive semidefinite matrix>[positive semidefinite].