# Tangent linear equation

From Glossary of Meteorology

Revision as of 18:09, 26 January 2012 by imported>Perlwikibot (Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == tangent linear equation == </div> <div class="definition"><div class="short_definition">An ...")

## 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 .

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact [email protected]. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.