@@ -24,7 +24,7 @@ $(_doc_IPN_subsystem)
2424
2525see [`CondensedKKTVectorFieldJacobian`](@ref) and [`CondensedKKTVectorField`](@ref), respectively,
2626for the reduced form, this is usually solved in.
27- From the resulting `X` and `Z` in the reeuced form, the other two, ``Y``, ``W``, are then computed.
27+ From the resulting `X` and `Z` in the reduced form, the other two, ``Y``, ``W``, are then computed.
2828
2929From the gradient ``(X,Y,Z,W)`` at the current iterate ``(p, μ, λ, s)``,
3030a line search is performed using the [`KKTVectorFieldNormSq`](@ref) norm of the KKT vector field (squared)
@@ -89,11 +89,11 @@ $(_var(:Keyword, :sub_problem; default = "[`DefaultManoptProblem`](@ref)`(M, sub
8989$(_var (:Keyword , :sub_state ; default = " [`ConjugateResidualState`](@ref)" ))
9090* `vector_space=`[`Rn`](@ref Manopt.Rn) a function that, given an integer, returns the manifold to be used for the vector space components ``ℝ^m,ℝ^n``
9191* `X=`[`zero_vector`](@extref `ManifoldsBase.zero_vector-Tuple{AbstractManifold, Any}`)`(M,p)`:
92- th initial gradient with respect to `p`.
93- * `Y=zero(μ)`: the initial gradient with respect to `μ`
94- * `Z=zero(λ)`: the initial gradient with respect to `λ`
95- * `W=zero(s)`: the initial gradient with respect to `s`
96- * `is_feasible_error=:error`: specify how to handle infeasible starting points, see [`is_feasible`](@ref) for options.
92+ the initial gradient with respect to `p`.
93+ * `Y=zero(μ)`: the initial gradient with respect to `μ`
94+ * `Z=zero(λ)`: the initial gradient with respect to `λ`
95+ * `W=zero(s)`: the initial gradient with respect to `s`
96+ * `is_feasible_error=:error`: specify how to handle infeasible starting points, see [`is_feasible`](@ref) for options.
9797
9898As well as internal keywords used to set up these given keywords like `_step_M`, `_step_p`, `_sub_M`, `_sub_p`, and `_sub_X`,
9999that should not be changed.
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