Lines Matching refs:methods

16 The `SNES` class includes methods for solving systems of nonlinear
23 where $\mathbf{F}: \, \Re^n \to \Re^n$. Newton-like methods provide the
25 techniques. A suite of nonlinear Krylov methods and methods based upon
94 available methods are presented in {any}`sec_nlsolvers`. The
174 formats (including “matrix-free” methods) can be used.
176 available matrix formats and options, while {any}`sec_nlmatrixfree` focuses on matrix-free methods …
260 and trust region methods. Also provided are several nonlinear Krylov
261 methods, as well as nonlinear methods involving decompositions of the
627 A number of nonlinear Krylov methods are provided, including Nonlinear
629 methods are described individually below. They are all instrumental to
654 Anderson Mixing (`SNESANDERSON`) methods combine the last $m$ iterates, plus a new
657 All of the above methods have support for using a nonlinear preconditioner to compute the prelimina…
663 Quasi-Newton methods store iterative rank-one updates to the Jacobian
665 methods are provided, L-BFGS, which are described in
669 This iteration is similar to the line search Newton methods.
671 The quasi-Newton methods support the use of a nonlinear preconditioner that can be obtained with `S…
778 Nonlinear Additive Schwarz methods (NASM) take a number of local
952 iterative scheme. In comparison with using direct methods for solving
953 the Newton systems, iterative methods have the virtue of requiring
955 computational work. Within the class of inexact Newton methods, of
956 particular interest are Newton-Krylov methods, where the subsidiary
958 class of Krylov subspace projection methods. Note that at runtime the
962 methods.
997 the subsidiary linear systems within the Newton-like methods of
1009 The `SNES` class fully supports matrix-free methods. The matrices
1017 is, obviously matrix-free methods cannot be used with a direct solver,
1030 methods {cite}`brownsaad:90`.
1120 We include an explicit example of using matrix-free methods in {any}`ex3.c <snes_ex3>`.
1174 analytically, and matrix-free methods do not work well without a