JuliaManifolds · kellertuer · Mar 15, 2024 · Mar 14, 2024 · Mar 14, 2024 · Mar 15, 2024
diff --git a/Changelog.md b/Changelog.md
@@ -5,6 +5,12 @@ All notable Changes to the Julia package `Manopt.jl` will be documented in this
 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).
 
+## [unreleased] March 15, 2024
+
+### Changed
+
+* `ManifoldsBase.jl` now is running on Documenter 1.3, `Manopt.jl` documentation now uses [DocumenterInterLinks]() to refer to sections and functions from `ManifoldsBasel.jl`
+
 ## [0.4.56] March 4, 2024
 
 ### Added

diff --git a/docs/Project.toml b/docs/Project.toml
@@ -6,6 +6,7 @@ CondaPkg = "992eb4ea-22a4-4c89-a5bb-47a3300528ab"
 DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
 DocumenterCitations = "daee34ce-89f3-4625-b898-19384cb65244"
+DocumenterInterLinks = "d12716ef-a0f6-4df4-a9f1-a5a34e75c656"
 FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
 Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
 JLD2 = "033835bb-8acc-5ee8-8aae-3f567f8a3819"

diff --git a/docs/make.jl b/docs/make.jl
@@ -71,7 +71,7 @@ end
 
 # (c) load necessary packages for the docs
 using Documenter
-using DocumenterCitations
+using DocumenterCitations, DocumenterInterLinks
 using JuMP, LineSearches, LRUCache, Manopt, Manifolds, Plots
 using RipQP, QuadraticModels
 
@@ -115,6 +115,9 @@ tutorials_menu =
     ]
 # (e) finally make docs
 bib = CitationBibliography(joinpath(@__DIR__, "src", "references.bib"); style=:alpha)
+links = InterLinks(
+    "ManifoldsBase" => ("https://juliamanifolds.github.io/ManifoldsBase.jl/stable/")
+)
 makedocs(;
     format=Documenter.HTML(;
         prettyurls=(get(ENV, "CI", nothing) == "true") || ("--prettyurls" ∈ ARGS),
@@ -203,7 +206,7 @@ makedocs(;
         "Changelog" => "changelog.md",
         "References" => "references.md",
     ],
-    plugins=[bib],
+    plugins=[bib, links],
 )
 deploydocs(; repo="github.com/JuliaManifolds/Manopt.jl", push_preview=true)
 #back to main env

diff --git a/docs/src/index.md b/docs/src/index.md
@@ -87,7 +87,7 @@ Together they form a [plan](plans/index.md).
 
 ## Manifolds
 
-This project is build upon [ManifoldsBase.jl](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/), a generic interface to implement manifolds. Certain functions are extended for specific manifolds from [Manifolds.jl](https://juliamanifolds.github.io/Manifolds.jl/stable/), but all other manifolds from that package can be used here, too.
+This project is build upon [ManifoldsBase.jl](@extref ManifoldsBase :doc:`index`), a generic interface to implement manifolds. Certain functions are extended for specific manifolds from [Manifolds.jl](https://juliamanifolds.github.io/Manifolds.jl/stable/), but all other manifolds from that package can be used here, too.
 
 The notation in the documentation aims to follow the same [notation](https://juliamanifolds.github.io/Manifolds.jl/stable/misc/notation.html) from these packages.
 

diff --git a/docs/src/plans/problem.md b/docs/src/plans/problem.md
@@ -26,5 +26,5 @@ TwoManifoldProblem
 ```
 
 From the two ingredients here, you can find more information about
-* the [`AbstractManifold`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/types.html) in [ManifoldsBase.jl](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/)
+* the [`ManifoldsBase.AbstractManifold`](@extref) in [ManifoldsBase.jl](@extref ManifoldsBase :doc:`index`)
 * the [`AbstractManifoldObjective`](@ref) on the [page about the objective](objective.md).
diff --git a/docs/src/solvers/ChambollePock.md b/docs/src/solvers/ChambollePock.md
@@ -113,10 +113,10 @@ Manopt.update_prox_parameters!
 
 The [`ChambollePock`](@ref) solver requires the following functions of a manifold to be available for both the manifold ``\mathcal M``and ``\mathcal N``
 
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` or `retraction_method_dual=` (for ``\mathcal N``) does not have to be specified.
-* An [`inverse_retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `inverse_retraction_method=` or `inverse_retraction_method_dual=` (for ``\mathcal N``) does not have to be specified.
-* A [`vector_transport_to!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/vector_transports/)`M, Y, p, X, q)`; it is recommended to set the [`default_vector_transport_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/vector_transports/#ManifoldsBase.default_vector_transport_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `vector_transport_method=` or `vector_transport_method_dual=` (for ``\mathcal N``) does not have to be specified.
-* A [`copyto!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copyto!-Tuple{AbstractManifold,%20Any,%20Any})`(M, q, p)` and [`copy`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copy-Tuple{AbstractManifold,%20Any})`(M,p)` for points.
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` or `retraction_method_dual=` (for ``\mathcal N``) does not have to be specified.
+* An [`inverse_retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](@extref `ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `inverse_retraction_method=` or `inverse_retraction_method_dual=` (for ``\mathcal N``) does not have to be specified.
+* A [`vector_transport_to!`](@extref ManifoldsBase :doc:`vector_transports`)`M, Y, p, X, q)`; it is recommended to set the [`default_vector_transport_method`](@extref `ManifoldsBase.default_vector_transport_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `vector_transport_method=` or `vector_transport_method_dual=` (for ``\mathcal N``) does not have to be specified.
+* A [`copyto!](@extref `Base.copyto!-Tuple{AbstractManifold, Any, Any}`)`(M, q, p)` and [`copy`](@extref `Base.copy-Tuple{AbstractManifold, Any}`)`(M,p)` for points.
 
 ## Literature
 

diff --git a/docs/src/solvers/DouglasRachford.md b/docs/src/solvers/DouglasRachford.md
@@ -72,14 +72,14 @@ reflect
 
 The [`DouglasRachford`](@ref) solver requires the following functions of a manifold to be available
 
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
-* An [`inverse_retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `inverse_retraction_method=` does not have to be specified.
-* A [`copyto!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copyto!-Tuple{AbstractManifold,%20Any,%20Any})`(M, q, p)` and [`copy`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copy-Tuple{AbstractManifold,%20Any})`(M,p)` for points.
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
+* An [`inverse_retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](@extref `ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `inverse_retraction_method=` does not have to be specified.
+* A [`copyto!](@extref `Base.copyto!-Tuple{AbstractManifold, Any, Any}`)`(M, q, p)` and [`copy`](@extref `Base.copy-Tuple{AbstractManifold, Any}`)`(M,p)` for points.
 
 By default, one of the stopping criteria is [`StopWhenChangeLess`](@ref),
 which requires
 
-* An [`inverse_retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `inverse_retraction_method=` or `inverse_retraction_method_dual=` (for ``\mathcal N``) does not have to be specified or the [`distance`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.distance-Tuple{AbstractManifold,%20Any,%20Any})`(M, p, q)` for said default inverse retraction.
+* An [`inverse_retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](@extref `ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `inverse_retraction_method=` or `inverse_retraction_method_dual=` (for ``\mathcal N``) does not have to be specified or the [`distance`](@extref `ManifoldsBase.distance-Tuple{AbstractManifold, Any, Any}`)`(M, p, q)` for said default inverse retraction.
 
 ## Literature
 

diff --git a/docs/src/solvers/LevenbergMarquardt.md b/docs/src/solvers/LevenbergMarquardt.md
@@ -19,9 +19,9 @@ LevenbergMarquardtState
 
 The [`LevenbergMarquardt`](@ref) solver requires the following functions of a manifold to be available
 
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
-* the [`norm`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#LinearAlgebra.norm-Tuple{AbstractManifold,%20Any,%20Any}) as well, to stop when the norm of the gradient is small, but if you implemented `inner`, the norm is provided already.
-* A [`copyto!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copyto!-Tuple{AbstractManifold,%20Any,%20Any})`(M, q, p)` and [`copy`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copy-Tuple{AbstractManifold,%20Any})`(M,p)` for points.
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
+* the [`norm`](@extref `LinearAlgebra.norm-Tuple{AbstractManifold, Any, Any}`) as well, to stop when the norm of the gradient is small, but if you implemented `inner`, the norm is provided already.
+* A [`copyto!](@extref `Base.copyto!-Tuple{AbstractManifold, Any, Any}`)`(M, q, p)` and [`copy`](@extref `Base.copy-Tuple{AbstractManifold, Any}`)`(M,p)` for points.
 
 
 ## Literature

diff --git a/docs/src/solvers/NelderMead.md b/docs/src/solvers/NelderMead.md
@@ -31,8 +31,8 @@ StopWhenPopulationConcentrated
 
 The [`NelderMead`](@ref) solver requires the following functions of a manifold to be available
 
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
-* An [`inverse_retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `inverse_retraction_method=` does not have to be specified.
-* The [`distance`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.distance-Tuple{AbstractManifold,%20Any,%20Any})`(M, p, q)` when using the default stopping criterion, which includes [`StopWhenPopulationConcentrated`](@ref).
-* Within the default initialization [`rand`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.rand-Tuple{AbstractManifold})`(M)` is used to generate the initial population
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
+* An [`inverse_retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, X, p, q)`; it is recommended to set the [`default_inverse_retraction_method`](@extref `ManifoldsBase.default_inverse_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `inverse_retraction_method=` does not have to be specified.
+* The [`distance`](@extref `ManifoldsBase.distance-Tuple{AbstractManifold, Any, Any}`)`(M, p, q)` when using the default stopping criterion, which includes [`StopWhenPopulationConcentrated`](@ref).
+* Within the default initialization [`rand`](@extref Base.rand-Tuple{AbstractManifold})`(M)` is used to generate the initial population
 * A [`mean`](https://juliamanifolds.github.io/Manifolds.jl/stable/features/statistics.html#Statistics.mean-Tuple{AbstractManifold,%20AbstractVector,%20AbstractVector,%20ExtrinsicEstimation})`(M, population)` has to be available, for example by loading [`Manifolds.jl`](https://juliamanifolds.github.io/Manifolds.jl/stable/) and its [statistics](https://juliamanifolds.github.io/Manifolds.jl/stable/features/statistics.html) tools
diff --git a/docs/src/solvers/adaptive-regularization-with-cubics.md b/docs/src/solvers/adaptive-regularization-with-cubics.md
@@ -59,12 +59,12 @@ StopWhenFirstOrderProgress
 The [`adaptive_regularization_with_cubics`](@ref) requires the following functions
 of a manifolds to be available
 
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
-* if you do not provide an initial regularization parameter `σ`, a [`manifold_dimension`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.manifold_dimension-Tuple{AbstractManifold}) is required.
-* By default the tangent vector storing the gradient is initialized calling [`zero_vector`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.zero_vector-Tuple{AbstractManifold,%20Any})`(M,p)`.
-* [`inner`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.inner-Tuple{AbstractManifold,%20Any,%20Any,%20Any})`(M, p, X, Y)` is used within the algorithm step
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
+* if you do not provide an initial regularization parameter `σ`, a [`manifold_dimension`](@extref `ManifoldsBase.manifold_dimension-Tuple{AbstractManifold}`) is required.
+* By default the tangent vector storing the gradient is initialized calling [`zero_vector`](@extref `ManifoldsBase.zero_vector-Tuple{AbstractManifold, Any}`)`(M,p)`.
+* [`inner`](@extref `ManifoldsBase.inner-Tuple{AbstractManifold, Any, Any, Any}`)`(M, p, X, Y)` is used within the algorithm step
 
-Furthermore, within the Lanczos subsolver, generating a random vector (at `p`) using [`rand!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.rand-Tuple{AbstractManifold})`(M, X; vector_at=p)` in place of `X` is required
+Furthermore, within the Lanczos subsolver, generating a random vector (at `p`) using [`rand!`](@extref Base.rand-Tuple{AbstractManifold})(M, X; vector_at=p)` in place of `X` is required
 
 ## Literature
 

diff --git a/docs/src/solvers/alternating_gradient_descent.md b/docs/src/solvers/alternating_gradient_descent.md
@@ -28,8 +28,8 @@ AlternatingGradient
 
 The [`alternating_gradient_descent`](@ref) solver requires the following functions of a manifold to be available
 
-* The problem has to be phrased on a [`ProductManifold`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/metamanifolds/#ProductManifold), to be able to
+* The problem has to be phrased on a [`ProductManifold`](@extref ManifoldsBase ProductManifold), to be able to
 alternate between parts of the input.
-* A [`retract!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/retractions/#ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
-* By default alternating gradient descent uses [`ArmijoLinesearch`](@ref) which requires [`max_stepsize`](@ref)`(M)` to be set and an implementation of [`inner`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.inner-Tuple%7BAbstractManifold,%20Any,%20Any,%20Any%7D)`(M, p, X)`.
-* By default the tangent vector storing the gradient is initialized calling [`zero_vector`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.zero_vector-Tuple{AbstractManifold,%20Any})`(M,p)`.
+* A [`retract!`](@extref ManifoldsBase :doc:`retractions`)`(M, q, p, X)`; it is recommended to set the [`default_retraction_method`](@extref `ManifoldsBase.default_retraction_method-Tuple{AbstractManifold}`) to a favourite retraction. If this default is set, a `retraction_method=` does not have to be specified.
+* By default alternating gradient descent uses [`ArmijoLinesearch`](@ref) which requires [`max_stepsize`](@ref)`(M)` to be set and an implementation of [`inner`](@extref `ManifoldsBase.inner-Tuple{AbstractManifold, Any, Any, Any}`)`(M, p, X)`.
+* By default the tangent vector storing the gradient is initialized calling [`zero_vector`](@extref `ManifoldsBase.zero_vector-Tuple{AbstractManifold, Any}`)`(M,p)`.
diff --git a/docs/src/solvers/augmented_Lagrangian_method.md b/docs/src/solvers/augmented_Lagrangian_method.md
@@ -26,9 +26,9 @@ AugmentedLagrangianGrad
 
 The [`augmented_Lagrangian_method`](@ref) solver requires the following functions of a manifold to be available
 
-* A [`copyto!`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copyto!-Tuple{AbstractManifold,%20Any,%20Any})`(M, q, p)` and [`copy`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#Base.copy-Tuple{AbstractManifold,%20Any})`(M,p)` for points.
+* A [`copyto!](@extref `Base.copyto!-Tuple{AbstractManifold, Any, Any}`)`(M, q, p)` and [`copy`](@extref `Base.copy-Tuple{AbstractManifold, Any}`)`(M,p)` for points.
 * Everything the subsolver requires, which by default is the [`quasi_Newton`](@ref) method
-* A [`zero_vector`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/functions/#ManifoldsBase.zero_vector-Tuple{AbstractManifold,%20Any})`(M,p)`.
+* A [`zero_vector`](@extref `ManifoldsBase.zero_vector-Tuple{AbstractManifold, Any}`)`(M,p)`.
 
 
 ## Literature