Apply suggestions from code review

Co-authored-by: Mateusz Baran <mateuszbaran89@gmail.com>

src/plans/interior_point_Newton_plan.jl

@@ -649,7 +649,7 @@ end
 @doc raw"""
     KKTVectorFieldNormSqGradient <: AbstractConstrainedSlackFunctor
 
-Compute the gradient of the [`KKTVectorFieldNormSq`](@ref) ``φ(p,μ,λ,s) = \lVert F(p,μ,λ,s)\rvert^2``,
+Compute the gradient of the [`KKTVectorFieldNormSq`](@ref) ``φ(p,μ,λ,s) = \lVert F(p,μ,λ,s)\rVert^2``,
 that is of the norm squared of the [`KKTVectorField`](@ref) ``F``.
 
 This is given in [LaiYoshise:2024](@cite) as the gradient of their merit function,
@@ -727,7 +727,7 @@ function interior_point_initial_guess(
 end
 
 """
-InteriorPointCentralityCondition{CO}
+    InteriorPointCentralityCondition{CO}
 
 A functor to check the centrality condition.
 
@@ -760,7 +760,7 @@ function set_manopt_parameter!(ipcc::InteriorPointCentralityCondition, ::Val{:γ
 end
 
 @doc raw"""
-StopWhenKKTResidualLess <: StoppingCriterion
+    StopWhenKKTResidualLess <: StoppingCriterion
 
 Stop when the KKT residual
 

src/solvers/interior_point_Newton.jl

@@ -53,15 +53,15 @@ the constraints are further fulfilled.
 * `Hess_h=nothing`: the Hessian of the equality constraints
 * `inequality_constraints=nothing`: the number ``m`` of inequality constraints.
 * `λ=ones(size(h(M,x),1))`: the Lagrange multiplier with respect to the equality constraints ``h``
-* `μ=ones(size(h(M,x),1))`: the Lagrange multiplier with respect to the inequality constraints ``g``
+* `μ=ones(length(g(M,x)))`: the Lagrange multiplier with respect to the inequality constraints ``g``
 * `s=μ`: initial value for the slack variables
 * `σ=μ's/length(μ)`: ? (TODO find details about barrier parameter)
 * `stopping_criterion::StoppingCriterion=`[`StopAfterIteration`](@ref)`(200)`[` | `](@ref StopWhenAny)[`StopWhenChangeLess`](@ref)`(1e-5)`: a stopping criterion
-* `retraction_method=[`default_retraction_method`](@extref)`(M, typeof(p))`: the retraction to use, defaults to the default set `M` with respect to the representation for `p` chosen.
+* `retraction_method=`[`default_retraction_method`](@extref)`(M, typeof(p))`: the retraction to use, defaults to the default set `M` with respect to the representation for `p` chosen.
 * `stepsize=` TODO
 * `sub_kwargs=(;)`: keyword arguments to decorate the sub options, for example debug, that automatically respects the main solvers debug options (like sub-sampling) as well
 * `sub_stopping_criterion=TODO`: specify a stopping criterion for the subsolver.
-* `sub_problem=TODO`: provide a problem for the subsolver, which is assumed to work on the tangent space of `\mathcal M \times ℝ^n`
+* `sub_problem=TODO`: provide a problem for the subsolver, which is assumed to work on the tangent space of ``\mathcal M \times ℝ^n``
 * `sub_state=TODO`: a state specifying the subsolver
 
 # Output