Degenerate critical point (source code)

= Degenerate critical point
{title2=$\nabla f(x_*)=0,\quad\det H_f(x_*)=0$}

A <critical point> whose <Hessian matrix> is a <singular matrix>. The <second-derivative test> does not completely classify such a point. Higher-order terms can produce a <local minimum>, a <local maximum>, or a <saddle point of a scalar function>.