Journal Article10.1017/S0962492917000113
Numerical methods for nonlinear equations
TL;DR: This article is about numerical methods for the solution of nonlinear equations and includes the classical methods to make the presentation complete and discusses less familiar topics such as Anderson acceleration, semi-smooth Newton’s method, and pseudo-arclength and Pseudo-transient continuation methods.
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Abstract: This article is about numerical methods for the solution of nonlinear equations. We consider both the fixed-point form and the equations form and explain why both versions are necessary to understand the solvers. We include the classical methods to make the presentation complete and discuss less familiar topics such as Anderson acceleration, semi-smooth Newton’s method, and pseudo-arclength and pseudo-transient continuation methods.
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