## tangent linear equation

An equation of the form

**x**_{1}=*L***x**_{0}, in which*L*is a linearization about the time-varying forecast trajectory of a nonlinear model (), and**x**_{0}and**x**_{1}are first-order perturbations of nonlinear vector .From Glossary of Meteorology

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An equation of the form **x**_{1} = *L***x**_{0}, in which *L* is a linearization about the time-varying forecast trajectory of a nonlinear model (), and **x**_{0} and **x**_{1} are first-order perturbations of nonlinear vector .