# ManifoldBase.jl
#
# Literature used within the Documentation of ManifoldsBase.jl
# ========================================================
#
# citekeys should be of the form AllAuthors:Year, unless there is really many authors.
#
# ----------------------------------------------------------------------------------------
@book{AbsilMahonySepulchre:2008,
    AUTHOR    = {Absil, P.-A. and Mahony, R. and Sepulchre, R.},
    DOI       = {10.1515/9781400830244},
    NOTE      = {available online at \href{http://press.princeton.edu/chapters/absil/}{press.princeton.edu/chapters/absil/}},
    PUBLISHER = {Princeton University Press},
    TITLE     = {Optimization Algorithms on Matrix Manifolds},
    YEAR      = {2008},
}
@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}
}
@book{Boumal:2023,
    TITLE     = {An Introduction to Optimization on Smooth Manifolds},
    AUTHOR    = {Boumal, Nicolas},
    YEAR      = {2023},
    MONTH     = mar,
    EDITION   = {First},
    PUBLISHER = {Cambridge University Press},
    DOI       = {10.1017/9781009166164},
    URL       = {https://www.nicolasboumal.net/book/index.html},
    ABSTRACT  = {Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dynamical systems and scientific computing. This text introduces the differential geometry and Riemannian geometry concepts that will help students and researchers in applied mathematics, computer science and engineering gain a firm mathematical grounding to use these tools confidently in their research. Its charts-last approach will prove more intuitive from an optimizer's viewpoint, and all definitions and theorems are motivated to build time-tested optimization algorithms. Starting from first principles, the text goes on to cover current research on topics including worst-case complexity and geodesic convexity. Readers will appreciate the tricks of the trade for conducting research and for numerical implementations sprinkled throughout the book.},
    ISBN      = {978-1-00-916616-4}
}
@article{EhlersPiraniSchild:1972,
    DOI       = {10.1007/s10714-012-1353-4},
    YEAR      = {1972},
    PUBLISHER = {Springer Science and Business Media {LLC}},
    VOLUME    = {44},
    NUMBER    = {6},
    PAGES     = {1587--1609},
    AUTHOR    = {J\"{u}rgen Ehlers and Felix A. E. Pirani and Alfred Schild},
    TITLE     = {Republication of: The geometry of free fall and light propagation},
    JOURNAL   = {General Relativity and Gravitation}
}

@article{LorenziPennec:2013,
    DOI        = {10.1007/s10851-013-0470-3},
    EPRINT     = {00870489},
    EPRINTTYPE = {HAL},
    YEAR       = {2013},
    VOLUME     = {50},
    NUMBER     = {1-2},
    PAGES      = {5--17},
    AUTHOR     = {Marco Lorenzi and Xavier Pennec},
    TITLE      = {Efficient Parallel Transport of Deformations in Time Series of Images: From Schild's to Pole Ladder},
    JOURNAL    = {Journal of Mathematical Imaging and Vision}
}
@book{Lee:2019,
    AUTHOR = {John M. Lee},
    DOI    = {10.1007/978-3-319-91755-9},
    ISBN = {978-3-319-91755-9},
    PUBLISHER = {Springer Cham},
    TITLE  = {Introduction to Riemannian Manifolds},
    YEAR   = {2019}
}
@inproceedings{MuralidharanFletcher:2012,
    DOI       = {10.1109/cvpr.2012.6247780},
    YEAR      = 2012,
    AUTHOR    = {P. Muralidharan and P. T. Fletcher},
    TITLE     = {Sasaki metrics for analysis of longitudinal data on manifolds},
    BOOKTITLE = {2012 {IEEE} Conference on Computer Vision and Pattern Recognition}
}
@article{Pennec:2018,
    AUTHOR ={Xavier Pennec},
    EPRINT = {1805.11436},
    EPRINTTYPE = {arXiv},
    Journal = {arXiv Preprint},
    TITLE = {Parallel Transport with Pole Ladder: a Third Order Scheme in Affine Connection Spaces which is Exact in Affine Symmetric Spaces.},
    YEAR = {2018},
    URL = {https://arxiv.org/abs/1805.11436},
}
@article{Sasaki:1958,
    DOI     = {10.2748/tmj/1178244668},
    YEAR    = {1958},
    VOLUME  = {10},
    NUMBER  = {3},
    AUTHOR  = {Shigeo Sasaki},
    TITLE   = {On the differential geometry of tangent bundles of Riemannian manifolds},
    JOURNAL = {Tohoku Math. J.}
}
@article{SatoIwai:2013,
    AUTHOR        = {Hiroyuki Sato and Toshihiro Iwai},
    ARCHIVEPREFIX = {arXiv},
    DOI           = {10.1080/02331934.2013.836650},
    EPRINT        = {1302.0125},
    JOURNAL       = {Optimization},
    NUMBER        = {4},
    PAGES         = {1011--1031},
    PUBLISHER     = {Informa {UK} Limited},
    TITLE         = {A new,  globally convergent Riemannian conjugate gradient method},
    VOLUME        = {64},
    YEAR          = {2013}
}