Concepedia

Jacobi-perron Algorithm

The Jacobi-Perron Algorithm is a multidimensional continued fraction algorithm that generalizes the Euclidean algorithm to simultaneously approximate a tuple of real numbers by recursively applying integer translations and inversions to generate a sequence of convergents.

32

Publications

5.9K

Citations

51

Authors

39

Institutions

Publications per year

2017–2026

2

Variants

Jpa

Parents

Publications

32

Numerical recipes in Fortran (The art of scientific computing)

Winslow Ames, Claude Brezinski · Mathematics and Computers in Simulation · 1993 · 4.3K citations

, , +14

Perron’s method for Hamilton-Jacobi equations

Hitoshi Ishii · Duke Mathematical Journal · 1987 · 409 citations

, , +8

Handbook of mathematics and computational science

Choice Reviews Online · 1999 · 361 citations

, , +12

Handbook of mathematics and computational science

Computers & Mathematics with Applications · 1999 · 81 citations

, , +12

Modified Jacobi-Perron Algorithm and Generating Markov Partitions for Special Hyperbolic Toral Automorphisms

Shunji Ito, Makoto OHTSUKI · Tokyo Journal of Mathematics · 1993 · 65 citations · Full text

, , +8

1–5 of 32

Authors

51

  1. SI
    Shunji Ito

    Tohoku University, Japan

    5 publications · 201 citations

    5

    h-index

  2. VB
    Valérie Berthé

    Centre National de la Recherche Scientifique, France

    3 publications · 83 citations

    3

    h-index

  3. MK
    Michaël Keane

    Delft University of Technology, Netherlands

    2 publications · 46 citations

    2

    h-index

  4. MO
    M. Ohtsuki

    Tsuda University, Japan

    2 publications · 46 citations

    2

    h-index

  5. LB
    Leon Bernstein

    U.S. Salinity Laboratory, United States

    2 publications · 49 citations

    2

    h-index

1–5 of 51

Institutions

39

  1. Tsuda University

    Tokyo, Japan

    3 h-index

    5 publications

    147 citations

  2. Université Paris Cité

    Paris, France

    2 h-index

    4 publications

    56 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    4 publications

    56 citations

  4. Institut Polytechnique de Bordeaux

    Bordeaux, France

    1 h-index

    1 publications

    10 citations

  5. Institut de Mathématiques de Marseille

    Marseille, France

    1 h-index

    2 publications

    20 citations

  6. Isaac Newton Institute for Mathematical Sciences

    Cambridge, United Kingdom

    1 h-index

    1 publications

    21 citations

  7. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    1 h-index

    1 publications

    14 citations

  8. Landau Institute for Theoretical Physics

    Chernogolovka, Russia

    1 h-index

    1 publications

    21 citations

1–8 of 39

Venues

  1. Pacific Journal of Mathematics

    6 publications · 165 citations

    6

    h-index

  2. Ergodic Theory and Dynamical Systems

    6 publications · 114 citations

    6

    h-index

  3. Tokyo Journal of Mathematics

    2 publications · 100 citations

    2

    h-index

  4. Monatshefte für Mathematik

    2 publications · 77 citations

    2

    h-index

  5. Journal of Mathematics and Physics

    1 publications · 18 citations

    1

    h-index

1–5