Optimization and Variational Analysis
Optimization and Variational Analysis is a research topic within Computational Theory and Mathematics. Science Explorer counts 25k research works in it since 1950. 14.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on iterative algorithms for solving nonlinear operators, optimization problems, fixed-point problems, variational inequalities, and equilibrium problems. It covers convergence theorems, bilevel programming, Hamilton-Jacobi formulations, and the application of nonexpansive mappings in various iterative methods.
- Iterative Algorithms
- Nonlinear Operators
- Optimization
- Fixed-Point Problems
- Variational Inequalities
- Equilibrium Problems
- Convergence Theorems
- Bilevel Programming
- Hamilton-Jacobi Formulation
- Nonexpansive Mappings
- Research works
- 25k fractional, since 1950
- In the world top 10%
- 3.6k per year above
- Top-10% rate
- 14.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +3% the tick is no change
Which countries lead Optimization and Variational Analysis research?
By volume, China and India publish the most (561 and 310 works in 2022–2025).
By volume, 2022–2025
- 1 China 561 works
- 2 India 310 works
- 3 United States 248 works
- 4 Russia 143 works
- 5 Vietnam 137 works
- 6 Germany 103 works
- 7 France 94 works
- 8 Saudi Arabia 92 works
- 9 Iran 91 works
- 10 Romania 89 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Optimization and Variational Analysis research?
By volume in 2022–2025, Technion – Israel Institute of Technology publishes the most Optimization and Variational Analysis research, followed by University of KwaZulu-Natal and Universitatea Națională de Știință și Tehnologie Politehnica București.
By volume, 2022–2025
- 1 Technion – Israel Institute of TechnologyIsrael 42 works
- 2 University of KwaZulu-NatalSouth Africa 21 works
- 3 Universitatea Națională de Știință și Tehnologie Politehnica BucureștiRomania 20 works
- 4 Aligarh Muslim UniversityIndia 20 works
- 5 China Medical UniversityTaiwan 19 works
- 6 University of PhayaoThailand 18 works
- 7 University of DelhiIndia 18 works
- 8 V. A. Trapeznikov Institute of Control SciencesRussia 16 works
- 9 Zhejiang Normal UniversityChina 16 works
- 10 Banaras Hindu UniversityIndia 16 works
Who are the leading researchers in Optimization and Variational Analysis?
The most-cited researchers publishing on Optimization and Variational Analysis include Kalyanmoy Deb, A. Charnes and Frank L. Lewis.
- 1 Kalyanmoy Deb United States 6.7k citations
- 2 A. Charnes United States 4.5k citations
- 3 Frank L. Lewis United States 3.8k citations
- 4 Brian D. O. Anderson Australia 3.6k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Optimization and Variational Analysis research done?
The largest centres of Optimization and Variational Analysis research in 2022–2025 are Moscow (Russia), Hanoi (Vietnam), Chongqing (China) and Bucharest (Romania). Among places with at least 20 works in it, it is an unusually large share of all research in Haifa.
Largest cities, 2022–2025
Where it is the local speciality
- HaifaIL · 45.9 works21×
Location quotient: how much more of its research is in Optimization and Variational Analysis than the world average.
Where is the best place to study Optimization and Variational Analysis?
Among universities, judged by research, China Medical University, University of KwaZulu-Natal and Hanoi University of Science and Technology score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | China Medical UniversityTaiwan | 81.2 | 17.7% | 43.6× | 19 | +1019.8% |
| 2 | University of KwaZulu-NatalSouth Africa | 73.9 | 20.4% | 18.7× | 21 | — |
| 3 | Hanoi University of Science and TechnologyVietnam | 67.2 | 22.5% | 18.8× | 11 | — |
| 4 | Universitatea Națională de Știință și Tehnologie Politehnica BucureștiRomania | 67.1 | 16.6% | 27.5× | 20 | +59.5% |
| 5 | Zhejiang Normal UniversityChina | 65.7 | 22.6% | 17.5× | 16 | -62.2% |
| 6 | Technion – Israel Institute of TechnologyIsrael | 62.5 | 7.9% | 40.8× | 42 | -7.4% |
| 7 | University of PhayaoThailand | 61.0 | 11.5% | 118.5× | 18 | +98.3% |
| 8 | Banaras Hindu UniversityIndia | 59.6 | 17.7% | 10.7× | 16 | -18.0% |
| 9 | Wayne State UniversityUnited States | 56.6 | 19.4% | 11.9× | 11 | -49.8% |
| 10 | Qassim UniversitySaudi Arabia | 55.9 | 11.8% | 11.6× | 9 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Optimization and Variational Analysis research growing?
Output in 2018–2022 was 3% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Optimization and Variational Analysis.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.