Fix 2 typos and add a spellchecker CI.

Author: kellertuer

.github/workflows/spell_check.yml

@@ -0,0 +1,13 @@
+name: Spell Check
+
+on: [pull_request, workflow_dispatch]
+
+jobs:
+  typos-check:
+    name: Spell Check with Typos
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Actions Repository
+        uses: actions/checkout@v6
+      - name: Check spelling
+        uses: crate-ci/typos@v1.45.0

Readme.md

@@ -31,7 +31,7 @@ Finally, a common interface also allows to easily combine existing algorithms, h
 
 # Main features
 
-See the [intial discussion](https://github.com/JuliaManifolds/AlgorithmsInterface.jl/discussions/1)
+See the [initial discussion](https://github.com/JuliaManifolds/AlgorithmsInterface.jl/discussions/1)
 as well as the [overview on existing things](https://github.com/JuliaManifolds/AlgorithmsInterface.jl/discussions/2)
 
 ## Further ideas

docs/src/stopping_criterion.md

@@ -68,7 +68,7 @@ function AlgorithmsInterface.initialize_state!(problem::SqrtProblem, algorithm::
     # reset the state for the algorithm
     state.iterate = rand()
     state.iteration = 0
-    
+
     # reset the state for the stopping criterion
     state = AlgorithmsInterface.initialize_state!(
         problem, algorithm, algorithm.stopping_criterion, state.stopping_criterion_state
@@ -244,7 +244,7 @@ criterion = StopWhenStable(1e-8)
 heron_sqrt(16.0; stopping_criterion = criterion)
 ```
 
-Note that our work payed off, as we can still compose this stopping criterion with other criteria as well:
+Note that our work payd off, as we can still compose this stopping criterion with other criteria as well:
 
 ```@example Heron
 criterion = StopWhenStable(1e-8) | StopAfterIteration(5)