Vector Bundle Newton Paper examples (#38)

Two examples about elastic geodesics and one about an inextensible rod to illustrate the
new [vector bundle newton](https://manoptjl.org/stable/solvers/vectorbundle_newton/) method in [Manopt.jl](https://manoptjl.org/stable/). (#38)

---------

Co-authored-by: Anton Schiela <anton.schiela@uni-bayreuth.de>
Co-authored-by: Laura Weigl <Laura.Weigl@uni-bayreuth.de>

Author: 3 people

Changelog.md

@@ -5,6 +5,13 @@ All notable changes to this Julia package will be documented in this file.
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
+## [0.1.18] – 23/10/2025
+
+### Added
+Two examples about elastic geodesics and one about an inextensible rod to illustrate the
+new [vector bundle newton](https://manoptjl.org/stable/solvers/vectorbundle_newton/) method in [Manopt.jl](https://manoptjl.org/stable/). (#38)
+
+
 ## [0.1.17] – 16/10/2025
 
 ### Added

Project.toml

@@ -1,14 +1,16 @@
 name = "ManoptExamples"
 uuid = "5b8d5e80-5788-45cb-83d6-5e8f1484217d"
 authors = ["Ronny Bergmann <manopt@ronnybergmann.net>"]
-version = "0.1.17"
+version = "0.1.18"
 
 [deps]
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 ManifoldDiff = "af67fdf4-a580-4b9f-bbec-742ef357defd"
 Manifolds = "1cead3c2-87b3-11e9-0ccd-23c62b72b94e"
 ManifoldsBase = "3362f125-f0bb-47a3-aa74-596ffd7ef2fb"
 Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a"
+OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [weakdeps]
 Manopt = "0fc0a36d-df90-57f3-8f93-d78a9fc72bb5"
@@ -24,17 +26,20 @@ Manifolds = "0.11"
 ManifoldsBase = "2"
 Manopt = "0.5"
 Markdown = "1.10"
+OffsetArrays = "1.14.1"
 Random = "1.10"
+RecursiveArrayTools = "2, 3"
+SparseArrays = "1.10"
 Test = "1.10"
 julia = "1.10"
-RecursiveArrayTools = "2, 3"
 
 [extras]
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
 Manopt = "0fc0a36d-df90-57f3-8f93-d78a9fc72bb5"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
 RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Test", "Random", "Manopt", "Distributions", "RecursiveArrayTools"]
+test = ["Distributions", "OffsetArrays", "Manopt", "Random", "RecursiveArrayTools", "Test"]

docs/CondaPkg.toml

@@ -1,4 +1,3 @@
 [deps]
-jupyter = ""
-python = "3.11"
+python = "3.11.*"
 optuna = ""

docs/Project.toml

@@ -10,4 +10,4 @@ DocumenterCitations = "1.3.2"
 DocumenterInterLinks = "1"
 
 [sources]
-ManoptExamples = {path = ".."}
+ManoptExamples = {path = ".."}

docs/make.jl

@@ -7,7 +7,7 @@ if "--help" ∈ ARGS
         """
             docs/make.jl
 
-        Render the `ManoptExamples.jl` documenation with optional arguments
+        Render the `ManoptExamples.jl` documenation.
 
         Arguments
         * `--exclude-examples` - exclude the examples from the menu of Documenter,
@@ -68,7 +68,7 @@ using DocumenterCitations
 
 # (d) add contributing.md and Changelog.md to docs
 
-function add_links(line::String, url::String = "https://github.com/JuliaManifolds/Manifolds.jl")
+function add_links(line::String, url::String = "https://github.com/JuliaManifolds/ManoptExamples.jl")
     # replace issues (#XXXX) -> ([#XXXX](url/issue/XXXX))
     while (m = match(r"\(\#([0-9]+)\)", line)) !== nothing
         id = m.captures[1]
@@ -140,6 +140,12 @@ examples_menu =
     "Robust PCA" => "examples/Robust-PCA.md",
     "Rosenbrock" => "examples/Rosenbrock.md",
     "Total Variation" => "examples/Total-Variation.md",
+    "Vector bundle Newton" => [
+        "Elastic Geodesic under force field" => "examples/Elastic-Geodesic-under-forcefield.md",
+        "Elastic Geodesic Obstacle" => "examples/Elastic-Geodesic-Obstacle.md",
+        "Inextensible Rod" => "examples/Inextensible-Rod.md",
+
+    ],
 ]
 bib = CitationBibliography(joinpath(@__DIR__, "src", "references.bib"); style = :alpha)
 links = InterLinks(