Concepedia

Gaussian Elimination

Gaussian Elimination is an algorithmic method in numerical linear algebra that systematically transforms a system of linear equations into an equivalent upper triangular form through successive row operations, enabling solution by back substitution.

613

Publications

53.4K

Citations

1.1K

Authors

464

Institutions

Publications per year

2017–2026

49

Variants

Row Reduction

Parents

Publications

613

Methods of conjugate gradients for solving linear systems

Magnus R. Hestenes, Eduard Stiefel · Journal of research of the National Bureau of Standards · 1952 · 8K citations · Full text

, , +14

Gaussian elimination is not optimal

Volker Strassen · Numerische Mathematik · 1969 · 2.5K citations

, , +3

Accuracy and stability of numerical algorithms

Choice Reviews Online · 1996 · 2.1K citations

, , +17

Improved simulation of stabilizer circuits

Scott Aaronson, Daniel Gottesman · Physical Review A · 2004 · 1.6K citations · Full text

, , +17

Orthogonal least squares methods and their application to non-linear system identification

Sheng Chen, S.A. Billings, Wan Luo · International Journal of Control · 1989 · 1.5K citations

, , +12

1–5 of 613

Authors

1.1K

  1. JD
    James Demmel

    University of California, Berkeley, United States

    11 publications · 705 citations

    11

    h-index

  2. AD
    Alan D. George

    University of Florida, United States

    9 publications · 436 citations

    9

    h-index

  3. NJ
    Nicholas J. Higham

    University of Manchester, United Kingdom

    8 publications · 431 citations

    8

    h-index

  4. DJ
    Donald J. Rose

    Duke University, United States

    7 publications · 2.1K citations

    7

    h-index

  5. YR
    Yves Robert

    École Normale Supérieure de Lyon, France

    7 publications · 264 citations

    7

    h-index

1–5 of 1.1K

Institutions

464

  1. University of Illinois Urbana-Champaign

    Urbana, United States

    15 h-index

    45 publications

    3.5K citations

  2. University of California, Berkeley

    Berkeley, United States

    11 h-index

    26 publications

    4.2K citations

  3. The University of Texas at Austin

    Austin, United States

    11 h-index

    19 publications

    1.1K citations

  4. University of Manchester

    Manchester, United Kingdom

    11 h-index

    17 publications

    1.2K citations

  5. Stanford University

    Stanford, United States

    11 h-index

    17 publications

    740 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    10 h-index

    17 publications

    1.1K citations

  7. Oak Ridge National Laboratory

    Oak Ridge, United States

    10 h-index

    13 publications

    637 citations

  8. University of Waterloo

    Waterloo, Canada

    9 h-index

    12 publications

    304 citations

1–8 of 464

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    26 publications · 1.8K citations

    22

    h-index

  2. SIAM Journal on Scientific Computing

    22 publications · 1.9K citations

    18

    h-index

  3. Mathematics of Computation

    MCOM · 19 publications · 2.3K citations

    15

    h-index

  4. 14

    h-index

  5. Numerical Linear Algebra with Applications

    12 publications · 421 citations

    11

    h-index

1–5