Linearization: Difference between revisions

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{{for|the linearization of a partial order|Linear extension}}

{{for|the linearization in concurrent computing|Linearizability}}

In [[mathematics]], '''linearization''' refers tois finding the [[linear approximation]] to a [[function (mathematics)|function]] at a given point. In the study of [[dynamical system]]s, linearization is a method for assessing the local [[stability theory|stability]] of an [[equilibrium point]] of a [[system]] of [[nonlinear]] [[differential equation]]s or discrete [[dynamical system]]s.<ref>[http://www.scholarpedia.org/article/Siegel_disks/Linearization The linearization problem in complex dimension one dynamical systems at Scholarpedia]</ref> This method is used in fields such as [[engineering]], [[physics]], [[economics]], and [[ecology]].

==Linearization of a function==