Add nonlinear equation system solver

- Add solver for determined and underdetermined nonlinear equation systems
- Add tests
- Add documentation
- Add package dependencies

Author: GerhardHippmann

Project.toml

@@ -6,9 +6,12 @@ version = "0.11.0"
 [deps]
 DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
 DiffRules = "b552c78f-8df3-52c6-915a-8e097449b14b"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
 MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
 OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 

docs/make.jl

@@ -6,11 +6,12 @@ makedocs(
   authors  = "Hilding Elmqvist (Mogram) and Martin Otter (DLR-SR)",
   format = Documenter.HTML(prettyurls = false),
   pages    = [
-     "Home"   => "index.md",
-	 "Tutorial" => "Tutorial.md",
-     "Data Structures"        => "DataStructures.md",
-     "Equation Sorting"       => "EquationSorting.md",
-     "Equation Reduction"     => "EquationReduction.md",
+     "Home"                         => "index.md",
+     "Tutorial"                     => "Tutorial.md",
+     "Data Structures"              => "DataStructures.md",
+     "Equation Sorting"             => "EquationSorting.md",
+     "Equation Reduction"           => "EquationReduction.md",
      "Transformation to ODE System" => "TransformationToODEs.md",
+     "Nonlinear Equations"          => "NonlinearEquations.md",
   ]
 )

docs/src/NonlinearEquations.md

@@ -0,0 +1,14 @@
+# Nonlinear Equations
+
+This section provides functions to **solve nonlinear equations systems**.
+
+
+## Main Functions
+
+```@meta
+CurrentModule = ModiaBase.NonlinearEquations
+```
+
+```@docs
+solveNonlinearEquations!
+```

src/ModiaBase.jl

@@ -1,7 +1,7 @@
 """
 Main module of ModiaBase.
 
-* Developers: Hilding Elmqvist, Mogram AB, Martin Otter, DLR  
+* Developers: Hilding Elmqvist, Mogram AB, Martin Otter, DLR
 * First version: December 2020
 * License: MIT (expat)
 
@@ -36,4 +36,7 @@ using .Simplify
 include("Symbolic.jl")
 using .Symbolic
 
+include("NonlinearEquations.jl")
+using .NonlinearEquations
+
 end