Editing Saddle point (section)

== Other uses ==
In [[dynamical systems]], if the dynamic is given by a [[differentiable map]] ''f'' then a point is hyperbolic if and only if the differential of ''&fnof;'' <sup>''n''</sup> (where ''n'' is the period of the point) has no eigenvalue on the (complex) [[unit circle]] when computed at the point. Then
a ''saddle point'' is a hyperbolic [[periodic point]] whose [[stable manifold|stable]] and [[unstable manifold]]s have a [[dimension]] that is not zero.

A saddle point of a matrix is an element which is both the largest element in its column and the smallest element in its row.