Concepedia

Resultant Computation

Resultant Computation is a symbolic algebraic method in computational number theory that calculates the resultant of two polynomials, a scalar value defined as the determinant of the Sylvester matrix, to determine their greatest common divisor and common root structure.

213

Publications

7.6K

Citations

279

Authors

166

Institutions

Publications per year

2017–2026

11

Parents

Publications

213

Subresultants and Reduced Polynomial Remainder Sequences

George E. Collins · Journal of the ACM · 1967 · 330 citations

, , +9

Some Formulae in Elimination

F. S. Macaulay · Proceedings of the London Mathematical Society · 1902 · 271 citations

, , +7

Elimination of harmonics in a multilevel converter using the theory of symmetric polynomials and resultants

J. Chiasson, Leon M. Tolbert, K.J. McKenzie et al. · IEEE Transactions on Control Systems Technology · 2005 · 243 citations

, , +17

The Calculation of Multivariate Polynomial Resultants

George E. Collins · Journal of the ACM · 1971 · 241 citations · Full text

, , +6

On the Newton Polytope of the Resultant

Bernd Sturmfels · Journal of Algebraic Combinatorics · 1994 · 241 citations · Full text

, , +8

1–5 of 213

Authors

279

  1. IZ
    Ioannis Z. Emiris

    National and Kapodistrian University of Athens, Greece

    12 publications · 599 citations

    11

    h-index

  2. RG
    Ron Goldman

    Rice University, United States

    7 publications · 171 citations

    7

    h-index

  3. DK
    Deepak Kapur

    University of New Mexico, United States

    7 publications · 297 citations

    7

    h-index

  4. EC
    Eng-Wee Chionh

    National University of Singapore, Singapore

    7 publications · 197 citations

    7

    h-index

  5. JC
    John Canny

    University of California, Berkeley, United States

    6 publications · 442 citations

    6

    h-index

1–5 of 279

Institutions

166

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

    Le Chesnay-Rocquencourt, France

    14 h-index

    30 publications

    1.2K citations

  2. Rice University

    Houston, United States

    11 h-index

    14 publications

    397 citations

  3. University of California, Berkeley

    Berkeley, United States

    11 h-index

    17 publications

    945 citations

  4. National University of Singapore

    Singapore, Singapore

    9 h-index

    10 publications

    290 citations

  5. Chinese Academy of Sciences

    Beijing, China

    8 h-index

    17 publications

    384 citations

  6. National and Kapodistrian University of Athens

    Athens, Greece

    7 h-index

    9 publications

    229 citations

  7. University of Sheffield

    Sheffield, United Kingdom

    6 h-index

    8 publications

    147 citations

  8. Universidad de Buenos Aires

    Buenos Aires, Argentina

    6 h-index

    8 publications

    401 citations

1–8 of 166

Venues

  1. Journal of Symbolic Computation

    28 publications · 879 citations

    18

    h-index

  2. Linear Algebra and its Applications

    10 publications · 203 citations

    10

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 6 publications · 191 citations

    6

    h-index

  4. Journal of Pure and Applied Algebra

    5 publications · 165 citations

    5

    h-index

  5. ACM Transactions on Graphics

    TOG · 4 publications · 147 citations

    4

    h-index

1–5