Concepedia

Monotone Convergence

Monotone Convergence is a theorem in mathematical analysis stating that a monotonic sequence of real numbers converges if and only if it is bounded, characterizing the convergence of sequences that either consistently increase or decrease without oscillation.

264

Publications

62.6K

Citations

436

Authors

277

Institutions

Publications per year

2017–2026

28

Variants

Monotone Convergence Theorem

Parents

Publications

264

Maximum Likelihood from Incomplete Data Via the <i>EM</i> Algorithm

A. P. Dempster, N. M. Laird, Donald B. Rubin · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1977 · 49.7K citations

, , +16

Maximum Likelihood from Incomplete Data via the EM Algorithm

Digital Access to Scholarship at Harvard (DASH) (Harvard University) · 1977 · 4.5K citations · Full text

, , +16

Space-alternating generalized expectation-maximization algorithm

Jeffrey A. Fessler, Alfred O. Hero · IEEE Transactions on Signal Processing · 1994 · 1.1K citations · Full text

, , +15

The EM Algorithm—an Old Folk-song Sung to a Fast New Tune

Xiao‐Li Meng, David A. van Dyk · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1997 · 807 citations · Full text

, , +15

Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings

Wataru Takahashi, Masashi Toyoda · Journal of Optimization Theory and Applications · 2003 · 620 citations

, , +13

1–5 of 264

Authors

436

  1. WT
    Wataru Takahashi

    Tokyo Institute of Technology, Japan

    8 publications · 1.3K citations

    8

    h-index

  2. ZB
    Zhong‐Zhi Bai

    Chinese Academy of Sciences, China

    6 publications · 218 citations

    6

    h-index

  3. VL
    V. Lakshmikantham

    Florida Institute of Technology, United States

    6 publications · 214 citations

    6

    h-index

  4. XR
    Xiaoe Ruan

    Xi'an Jiaotong University, China

    6 publications · 204 citations

    6

    h-index

  5. CV
    C. V. Pao

    North Carolina State University, United States

    5 publications · 181 citations

    5

    h-index

1–5 of 436

Institutions

277

  1. Tokyo Institute of Technology

    Tokyo, Japan

    8 h-index

    15 publications

    2.5K citations

  2. Xi'an Jiaotong University

    Xi'an, China

    7 h-index

    11 publications

    366 citations

  3. Chinese Academy of Sciences

    Beijing, China

    6 h-index

    8 publications

    314 citations

  4. North Carolina State University

    Raleigh, United States

    6 h-index

    6 publications

    150 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    5 publications

    160 citations

  6. Universidade de Santiago de Compostela

    Santiago de Compostela, Spain

    5 h-index

    9 publications

    570 citations

  7. The University of Texas at Arlington

    Arlington, United States

    4 h-index

    6 publications

    220 citations

  8. Northeast Normal University

    Changchun, China

    4 h-index

    7 publications

    312 citations

1–8 of 277

Venues

  1. 12

    h-index

  2. Nonlinear Analysis

    10 publications · 622 citations

    10

    h-index

  3. Applied Mathematics and Computation

    9 publications · 247 citations

    9

    h-index

  4. Computers & Mathematics with Applications

    8 publications · 220 citations

    8

    h-index

  5. Mathematics of Computation

    MCOM · 6 publications · 211 citations

    6

    h-index

1–5