Concepedia

Rounding Error Propagation

Rounding Error Propagation is a phenomenon in numerical computation wherein small inaccuracies introduced by finite-precision arithmetic accumulate and amplify through successive algorithmic operations, thereby degrading the overall accuracy of the computed result.

61

Publications

4K

Citations

86

Authors

70

Institutions

Publications per year

2017–2026

6

Parents

Publications

61

Rounding errors in algebraic processes

Journal of the Franklin Institute · 1964 · 1.3K citations

, , +12

Rounding Errors in Algebraic Processes

Nature · 1964 · 459 citations

, , +12

Rounding Errors in Algebraic Processes

A. S. H., J. H. Wilkinson · Mathematics of Computation · 1964 · 428 citations

, , +12

Rounding error analysis of the classical Gram-Schmidt orthogonalization process

Luc Giraud, Julien Langou, Miroslav Rozložńık et al. · Numerische Mathematik · 2005 · 144 citations

, , +9

Computational Graphs and Rounding Error

Friedrich L. Bauer · SIAM Journal on Numerical Analysis · 1974 · 103 citations

, , +11

1–5 of 61

Authors

86

  1. FJ
    Fabienne Jézéquel

    Sorbonne Université, France

    3 publications · 57 citations

    3

    h-index

  2. GM
    Guillaume Melquiond

    Institut national de recherche en sciences et technologies du numérique, France

    2 publications · 113 citations

    2

    h-index

  3. SB
    Sylvie Boldo

    Centre National de la Recherche Scientifique, France

    2 publications · 46 citations

    2

    h-index

  4. GU
    George U. Ramos

    2 publications · 63 citations

    2

    h-index

  5. DA
    D. A. Barry

    École Polytechnique Fédérale de Lausanne, Switzerland

    2 publications · 70 citations

    2

    h-index

1–5 of 86

Institutions

70

  1. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    7 publications

    162 citations

  2. Sorbonne Université

    Paris, France

    3 h-index

    9 publications

    171 citations

  3. LIP6

    Paris, France

    3 h-index

    9 publications

    171 citations

  4. Université Paris Cité

    Paris, France

    2 h-index

    6 publications

    126 citations

  5. Laboratoire de l'Informatique du Parallélisme

    Lyon, France

    2 h-index

    3 publications

    139 citations

  6. École Normale Supérieure de Lyon

    Lyon, France

    2 h-index

    3 publications

    139 citations

  7. University of Michigan

    Ann Arbor, United States

    2 h-index

    2 publications

    28 citations

  8. Sorbonne Paris Cité

    Paris, France

    1 h-index

    1 publications

    21 citations

1–8 of 70

Venues

  1. Mathematics of Computation

    MCOM · 4 publications · 506 citations

    4

    h-index

  2. ACM Transactions on Mathematical Software

    TOMS · 3 publications · 107 citations

    3

    h-index

  3. Journal of Computational Physics

    2 publications · 87 citations

    2

    h-index

  4. 2

    h-index

  5. SIAM Journal on Numerical Analysis

    2 publications · 179 citations

    2

    h-index

1–5