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      A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout identities

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          Abstract

          The paper explains the method to determine a short unit cell attached to any hyperplane given by its integer vector \(\mathbf{p}\). Equivalently, it gives all the solutions of the \(N\)-dimensional Bezout identity associated with the coordinates of \(\mathbf{p}\).

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          Author and article information

          Journal
          16 January 2021
          Article
          2101.06456
          bb4880b4-ec64-4b25-b24a-434bb5b47c7b

          http://creativecommons.org/licenses/by/4.0/

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          9 pages, 1 figure
          cond-mat.mtrl-sci

          Condensed matter
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