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Linearization

For the linearization of a partial order, see Linear extension. For the linearization in concurrent computing, see Linearizability.

In mathematics, linearization is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems.[1] This method is used in fields such as engineering, physics, economics, and ecology.

  1. ^ The linearization problem in complex dimension one dynamical systems at Scholarpedia

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