Concepedia

Convex Sets

Convex Sets is a mathematical construct in which a subset of a vector space is characterized by the property that for any two points within the set, the line segment connecting them lies entirely within the set.

3K

Publications

177.9K

Citations

4.4K

Authors

1.5K

Institutions

Publications per year

2017–2026

338

Parents

Publications

3K

The quickhull algorithm for convex hulls

C. Bradford Barber, David Dobkin, Hannu Huhdanpaa · ACM Transactions on Mathematical Software · 1996 · 5.3K citations · Full text

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From few to many: illumination cone models for face recognition under variable lighting and pose

Athinodoros S. Georghiades, Peter N. Belhumeur, David Kriegman · IEEE Transactions on Pattern Analysis and Machine Intelligence · 2001 · 5K citations

, , +15

The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming

L.M. Bregman · USSR Computational Mathematics and Mathematical Physics · 1967 · 2.7K citations

, , +12

Decomposition Principle for Linear Programs

George B. Dantzig, Philip Wolfe · Operations Research · 1960 · 2.3K citations

, , +17

H/sub ∞/ design with pole placement constraints: an LMI approach

M. Chilali, P. Gahinet · IEEE Transactions on Automatic Control · 1996 · 2.1K citations

, , +13

1–5 of 3K

Authors

4.4K

  1. JM
    Jonathan M. Borwein

    Dalhousie University, Canada

    16 publications · 1.1K citations

    15

    h-index

  2. VK
    Victor Klee

    University of Washington, United States

    19 publications · 734 citations

    15

    h-index

  3. SV
    Santosh Vempala

    Georgia Institute of Technology, United States

    12 publications · 796 citations

    12

    h-index

  4. LL
    László Lovász

    Eötvös Loránd University, Hungary

    12 publications · 2.4K citations

    12

    h-index

  5. SP
    Sehie Park

    Seoul National University, South Korea

    12 publications · 351 citations

    12

    h-index

1–5 of 4.4K

Institutions

1.5K

  1. Massachusetts Institute of Technology

    Cambridge, United States

    29 h-index

    64 publications

    10.8K citations

  2. Princeton University

    Princeton, United States

    25 h-index

    41 publications

    11.5K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    25 h-index

    83 publications

    2.9K citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    23 h-index

    57 publications

    9K citations

  5. Carnegie Mellon University

    Pittsburgh, United States

    23 h-index

    51 publications

    3.4K citations

  6. University of Washington

    Seattle, United States

    23 h-index

    54 publications

    3.2K citations

  7. University of California, Berkeley

    Berkeley, United States

    22 h-index

    58 publications

    4.6K citations

  8. Stanford University

    Stanford, United States

    21 h-index

    41 publications

    4K citations

1–8 of 1.5K

Venues

  1. Pacific Journal of Mathematics

    104 publications · 7.2K citations

    39

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 124 publications · 4.6K citations

    35

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 74 publications · 3.9K citations

    32

    h-index

  4. SIAM Journal on Optimization

    52 publications · 5K citations

    30

    h-index

  5. IEEE Transactions on Automatic Control

    38 publications · 7.1K citations

    27

    h-index

1–5