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add PT to docs #253

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1 change: 1 addition & 0 deletions docs/src/api/nonlinearsolve.md
Original file line number Diff line number Diff line change
Expand Up @@ -7,6 +7,7 @@ These are the native solvers of NonlinearSolve.jl.
```@docs
NewtonRaphson
TrustRegion
PseudoTransient
```

## Polyalgorithms
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5 changes: 4 additions & 1 deletion docs/src/solvers/NonlinearSystemSolvers.md
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Expand Up @@ -55,11 +55,14 @@ features, but have a bit of overhead on very small problems.
improvements suggested in the [paper](https://arxiv.org/abs/1201.5885) "Improvements to
the Levenberg-Marquardt algorithm for nonlinear least-squares minimization". Designed for
large-scale and numerically-difficult nonlinear systems.
- `PseudoTransient()`: A pseudo-transient method which mixes the stability of Euler-type
stepping with the convergence speed of a Newton method. Good for highly unstable
systems.
- `RobustMultiNewton()`: A polyalgorithm that mixes highly robust methods (line searches and
trust regions) in order to be as robust as possible for difficult problems. If this method
fails to converge, then one can be pretty certain that most (all?) other choices would
likely fail.
- `FastShortcutNonlinearPolyalg`: The default method. A polyalgorithm that mixes fast methods
- `FastShortcutNonlinearPolyalg()`: The default method. A polyalgorithm that mixes fast methods
with fallbacks to robust methods to allow for solving easy problems quickly without sacrificing
robustnes on the hard problems.

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