Geodesic
Multidimensional inhomogeneous approximations
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 7, Tome 538 (2024), pp. 45-84

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The simplex-karyon algorithm is applied to multidimensional inhomogeneous approximations in combination with one more algorithm, which finds an approximation parallelepiped into which the approximate point falls when splitting the polyhedral karyon tiling. 
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     author = {V. G. Zhuravlev},
     title = {Multidimensional inhomogeneous approximations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--84},
     publisher = {mathdoc},
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     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_538_a1/}
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V. G. Zhuravlev. Multidimensional inhomogeneous approximations. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 7, Tome 538 (2024), pp. 45-84. http://geodesic.mathdoc.fr/item/ZNSL_2024_538_a1/