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https://github.com/JuliaManifolds/ManifoldsBase.jl

Basic interface for manifolds in Julia
https://github.com/JuliaManifolds/ManifoldsBase.jl

julia manifolds

Last synced: 14 days ago
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Basic interface for manifolds in Julia

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ManifoldsBase.jl logo with text on the side

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[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.5964340.svg)](https://doi.org/10.5281/zenodo.5964340)
## Installation

In Julia you can install this package by typing

```julia
using Pkg; Pkg.add("ManifoldsBase")
```

in the Julia REPL.

Since this package provides an interface, you probably either want to add it as a dependency to your project/package to work on manifold generically or implement a new manifold.
A package that (only) depends on `ManifoldsBase.jl`, see [Manopt.jl](https://manoptjl.org/stable/), which implements optimization algorithms on manifolds using this interface, i.e. they can be used with any manifold based on `ManifoldsBase.jl`. A library of manifolds implemented using this interface is provided see [Manifolds.jl](https://juliamanifolds.github.io/Manifolds.jl/stable/).

Your package is using `ManifoldsBase`?
We would be very interested to hear where you are using the interface or manifolds in general! Give us a note and we add you here.

## Citation

If you use `ManifoldsBase.jl` in your work, please cite the following open access article

```biblatex
@article{AxenBaranBergmannRzecki:2023,
author = {Axen, Seth D. and Baran, Mateusz and Bergmann, Ronny and Rzecki, Krzysztof},
articleno = {33},
doi = {10.1145/3618296},
journal = {ACM Transactions on Mathematical Software},
month = {dec},
number = {4},
title = {Manifolds.Jl: An Extensible Julia Framework for Data Analysis on Manifolds},
volume = {49},
year = {2023},
}
```

To refer to a certain version we recommend to also cite for example

```biblatex
@software{manifoldsbasejl-zenodo-mostrecent,
AUTHOR = {Seth D. Axen and Mateusz Baran and Ronny Bergmann},
TITLE = {ManifoldsBase.jl},
DOI = {10.5281/ZENODO.5964340},
URL = {https://zenodo.org/record/5964340},
PUBLISHER = {Zenodo},
YEAR = {2022},
COPYRIGHT = {MIT License}
}
```

Note that both citations are in [BibLaTeX](https://ctan.org/pkg/biblatex) format.