Concepedia

Convex Variational Optimization

Convex Variational Optimization is a variational optimization framework distinguished by the requirement that both the objective functional and the constraint set exhibit convexity, ensuring the existence of globally optimal solutions and enabling the application of convex analysis to derive necessary and sufficient optimality conditions.

87

Publications

6K

Citations

200

Authors

119

Institutions

Publications per year

2017–2026

26

Parents

Publications

87

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space

Yair Censor, Aviv Gibali, Simeon Reich · Journal of Optimization Theory and Applications · 2010 · 867 citations

, , +13

The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

Caihua Chen, Bingsheng He, Yinyu Ye et al. · Mathematical Programming · 2014 · 754 citations

, , +11

An Efficient Method for Computing Traffic Equilibria in Networks with Asymmetric Transportation Costs

Sang Quang Nguyen, Clermont Dupuis · Transportation Science · 1984 · 431 citations

, , +16

An algorithm for minimizing the Mumford-Shah functional

Thomas Pock, Daniel Cremers, Horst Bischof et al. · 2009 · 363 citations

, , +17

Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces

Rapeepan Kraikaew, Satit Saejung · Journal of Optimization Theory and Applications · 2013 · 286 citations

, , +14

1–5 of 87

Authors

200

  1. AG
    Aviv Gibali

    Braude College of Engineering Karmiel, Israel

    4 publications · 947 citations

    4

    h-index

  2. DC
    Daniel Cremers

    Technical University of Munich, Germany

    3 publications · 434 citations

    3

    h-index

  3. AY
    Aleksandr Y. Aravkin

    University of Washington, United States

    3 publications · 137 citations

    3

    h-index

  4. SO
    Stanley Osher

    University of California, Los Angeles, United States

    4 publications · 361 citations

    3

    h-index

  5. SR
    Simeon Reich

    Technion – Israel Institute of Technology, Israel

    2 publications · 910 citations

    2

    h-index

1–5 of 200

Institutions

119

  1. Centre de Recherche en Mathématiques de la Décision

    Paris, France

    4 h-index

    7 publications

    448 citations

  2. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    6 publications

    390 citations

  3. University of Haifa

    Haifa, Israel

    3 h-index

    3 publications

    904 citations

  4. Ton Duc Thang University

    Ho Chi Minh City, Vietnam

    2 h-index

    2 publications

    72 citations

  5. Sorbonne Université

    Paris, France

    2 h-index

    3 publications

    256 citations

  6. Northeastern University

    Shenyang, China

    2 h-index

    5 publications

    71 citations

  7. Hong Kong Baptist University

    Hong Kong, Hong Kong

    2 h-index

    3 publications

    816 citations

  8. Chongqing University

    Chongqing, China

    2 h-index

    5 publications

    195 citations

1–8 of 119

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 125 citations

    5

    h-index

  2. Applied Mathematics and Computation

    4 publications · 76 citations

    4

    h-index

  3. Communications in Mathematical Sciences

    4 publications · 316 citations

    4

    h-index

  4. SIAM Journal on Optimization

    3 publications · 287 citations

    3

    h-index

  5. 2

    h-index

1–5