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Quasilinearization
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<p>In mathematics, quasilinearization is a technique which replaces a <a href="/facts/Nonlinear_differential_equation/4aYItALC">nonlinear differential equation</a> or operator equation (or system of such equations) with a sequence of linear problems, which are presumed to be easier, and whose solutions approximate the solution of the original nonlinear problem with increasing accuracy. It is a generalization of <a href="/facts/Newton%2527s_method/VlRhI2FL">Newton's method</a>; the word "quasilinearization" is commonly used when the differential equation is a <a href="/facts/Boundary_value_problem/QEfmUqmP">boundary value problem</a>. </p>