Concepedia

Elimination Theory

Elimination Theory is a branch of computational algebra that systematically studies the conditions under which systems of polynomial equations can be transformed into equivalent systems with certain variables removed, thereby enabling the analysis of solutions in fewer variables.

105

Publications

6.7K

Citations

169

Authors

101

Institutions

Publications per year

2017–2026

3

Parents

Publications

105

Handbook of mathematical logic, edited by Jon Barwise with the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis, and A. S. Troelstra, Studies in logic and the foundations of mathematics, vol. 90, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978 (© 1977), xi + 1165 pp. - C. Smoryński. D.1. The incompleteness theorems. Pp. 821–865. - Helmut Schwichtenberg. D.2. Proof theory: some applications of cut-elimination. Pp. 867–895. - Richard Statman. D.3. Herbrand's theorem and Gentzen's notion of a direct proof. Pp. 897–912. - Solomon Feferman. D.4. Theories of finite type related to mathematical practice. Pp. 913–971. - A. S. Troelstra. D.5. Aspects of constructive mathematics. Pp. 973–1052. - Michael P. Fourman. D.6. The logic of topoi. Pp. 1053–1090. - Henk P. Barendregt. D.1. The type free lambda calculus. Pp. 1091–1132. - Jeff Paris and Leo Harrington. D.8. A mathematical incompleteness in Peano arithmetic. Pp. 1133–1142.

William A. Howard · Journal of Symbolic Logic · 1984 · 840 citations

, , +11

The fundamental theorem of algebra and complexity theory

Steve Smale · Bulletin of the American Mathematical Society · 1981 · 366 citations · Full text

, , +16

Sylvester’s identity and multistep integer-preserving Gaussian elimination

E.H. Bareiss · Mathematics of Computation · 1968 · 288 citations · Full text

, , +11

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

1–5 of 105

Authors

169

  1. LM
    Leon M. Tolbert

    University of Tennessee at Knoxville, United States

    6 publications · 579 citations

    6

    h-index

  2. JC
    J. Chiasson

    University of Tennessee at Knoxville, United States

    5 publications · 502 citations

    5

    h-index

  3. KM
    K.J. McKenzie

    University of Tennessee at Knoxville, United States

    4 publications · 432 citations

    4

    h-index

  4. ZD
    Zhong Du

    University of Tennessee at Knoxville, United States

    4 publications · 415 citations

    4

    h-index

  5. DW
    Dongming Wang

    Southeast University, China

    3 publications · 184 citations

    3

    h-index

1–5 of 169

Institutions

101

  1. University of California, Berkeley

    Berkeley, United States

    7 h-index

    8 publications

    342 citations

  2. University of Tennessee at Knoxville

    Knoxville, United States

    6 h-index

    22 publications

    2.2K citations

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

    Le Chesnay-Rocquencourt, France

    5 h-index

    11 publications

    545 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    82 citations

  5. Rice University

    Houston, United States

    3 h-index

    5 publications

    129 citations

  6. Universidad de Cantabria

    Santander, Spain

    3 h-index

    6 publications

    730 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    4 publications

    92 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    3 publications

    373 citations

1–8 of 101

Venues

  1. Journal of Symbolic Computation

    5 publications · 328 citations

    5

    h-index

  2. Journal of Symbolic Logic

    3 publications · 987 citations

    3

    h-index

  3. European Journal of Marketing

    EJM · 3 publications · 101 citations

    3

    h-index

  4. ACM SIGSAM Bulletin

    2 publications · 46 citations

    2

    h-index

  5. arXiv (Cornell University)

    Repository · 2 publications · 31 citations

    2

    h-index

1–5