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Linearization may refer to:
A method of approximating a function near a point by a linear (first-order) function using a tangent line or Jacobian.
An approach in solving nonlinear equations—transforming them into linear problems via iterative linearization (e.g., Newton’s method).
The process of approximating a nonlinear dynamical system by a linear state-space model around an operating point.
The induced linear map used to study how a smooth map behaves infinitesimally (e.g., the differential/derivative between tangent spaces).