Concepedia

Sylvester's Theorem

Sylvester's Theorem is a fundamental result in the theory of integer partitions that asserts the number of partitions of a positive integer \( n \) into distinct parts is equal to the number of partitions of \( n \) into odd parts, thereby establishing a combinatorial bijection between these two distinct classes of partition.

176

Publications

5.9K

Citations

284

Authors

187

Institutions

Publications per year

2017–2026

22

Variants

Sylvester's Partition Theorem

Parents

Publications

176

The Sylvester equation and approximate balanced reduction

D. C. Sorensen, A.C. Antoulas · Linear Algebra and its Applications · 2002 · 206 citations

, , +10

Pole assignment via Sylvester's equation

S.P. Bhattacharyya, Eurice de Souza · Systems & Control Letters · 1982 · 204 citations

, , +4

On the ADI method for Sylvester equations

Peter Benner, Ren‐Cang Li, Ninoslav Truhar · Journal of Computational and Applied Mathematics · 2009 · 189 citations

, , +5

A new solution to the generalized Sylvester matrix equation

Bin Zhou, Guang‐Ren Duan · Systems & Control Letters · 2005 · 173 citations

, , +8

Positive Definite Matrices and Sylvester's Criterion

George T. Gilbert · American Mathematical Monthly · 1991 · 161 citations

, , +6

1–5 of 176

Authors

284

  1. ÁS
    Ágnes Szántó

    North Carolina State University, United States

    4 publications · 59 citations

    4

    h-index

  2. CD
    Carlos D’Andrea

    Universitat de Barcelona, Spain

    4 publications · 62 citations

    4

    h-index

  3. TK
    Takao Komatsu

    Hirosaki University, Japan

    4 publications · 77 citations

    4

    h-index

  4. IZ
    Ioannis Z. Emiris

    National and Kapodistrian University of Athens, Greece

    4 publications · 55 citations

    4

    h-index

  5. TK
    Térésa Krick

    Universidad de Buenos Aires, Argentina

    4 publications · 59 citations

    4

    h-index

1–5 of 284

Institutions

187

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

    Le Chesnay-Rocquencourt, France

    5 h-index

    7 publications

    100 citations

  2. Harbin Institute of Technology

    Harbin, China

    5 h-index

    11 publications

    697 citations

  3. Universidad de Buenos Aires

    Buenos Aires, Argentina

    4 h-index

    5 publications

    70 citations

  4. North Carolina State University

    Raleigh, United States

    4 h-index

    6 publications

    95 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    131 citations

  6. Fundación Ciencias Exactas y Naturales

    Buenos Aires, Argentina

    4 h-index

    5 publications

    70 citations

  7. Universitat de Barcelona

    Barcelona, Spain

    3 h-index

    3 publications

    48 citations

  8. National and Kapodistrian University of Athens

    Athens, Greece

    3 h-index

    4 publications

    65 citations

1–8 of 187

Venues

  1. Linear Algebra and its Applications

    9 publications · 556 citations

    9

    h-index

  2. American Mathematical Monthly

    9 publications · 398 citations

    9

    h-index

  3. Journal of Symbolic Computation

    8 publications · 222 citations

    8

    h-index

  4. Mathematics Magazine

    6 publications · 152 citations

    6

    h-index

  5. Systems & Control Letters

    5 publications · 562 citations

    5

    h-index

1–5