What is he best known for?
The fields of study he is best known for:
- Mathematical optimization
- Statistics
- Mathematical analysis
Luís Nunes Vicente mainly focuses on Mathematical optimization, Derivative-free optimization, Nonlinear programming, Algorithm and Trust region.
Luís Nunes Vicente has included themes like Iterated function and Theory of computation in his Mathematical optimization study.
His Derivative-free optimization research focuses on Stationary point and how it connects with Convergence tests, Modes of convergence, Compact convergence and Particle swarm optimization.
The Nonlinear programming study combines topics in areas such as Numerical analysis, Interior point method, Optimal control and Sequential quadratic programming.
His work on Predictor–corrector method and Computational mathematics as part of general Algorithm study is frequently connected to Linear complementarity problem, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His work carried out in the field of Optimization problem brings together such families of science as Underdetermined system, Theoretical computer science, Field, Linear model and Nelder–Mead method.
His most cited work include:
- Introduction to Derivative-Free Optimization (1012 citations)
- Bilevel and multilevel programming: A bibliography review (497 citations)
- A particle swarm pattern search method for bound constrained global optimization (266 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical optimization, Derivative-free optimization, Algorithm, Nonlinear programming and Trust region are his primary areas of study.
His Mathematical optimization research incorporates themes from Iterated function and Worst-case complexity.
His study with Derivative-free optimization involves better knowledge in Optimization problem.
His study looks at the relationship between Algorithm and fields such as Quadratic equation, as well as how they intersect with chemical problems.
Luís Nunes Vicente has researched Nonlinear programming in several fields, including Optimal control, Modes of convergence, Sequential quadratic programming, Local convergence and Interior point method.
His Trust region research includes themes of Probabilistic logic, Symbolic convergence theory, Applied mathematics and Stationary point.
He most often published in these fields:
- Mathematical optimization (57.38%)
- Derivative-free optimization (22.13%)
- Algorithm (18.85%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical optimization (57.38%)
- Worst-case complexity (9.02%)
- Derivative-free optimization (22.13%)
In recent papers he was focusing on the following fields of study:
Luís Nunes Vicente mainly investigates Mathematical optimization, Worst-case complexity, Derivative-free optimization, Trust region and Convex function.
In the subject of general Mathematical optimization, his work in Feasible region is often linked to Order, thereby combining diverse domains of study.
His Worst-case complexity research is multidisciplinary, incorporating perspectives in Iterated function and Regular polygon.
His Derivative-free optimization study deals with Direct search intersecting with Random optimization and Random search.
His studies in Trust region integrate themes in fields like Function, Symbolic convergence theory, Heuristics and Surrogate model.
As part of the same scientific family, he usually focuses on Convex function, concentrating on Multi-objective optimization and intersecting with Estimator.
Between 2013 and 2021, his most popular works were:
- Convergence of Trust-Region Methods Based on Probabilistic Models (53 citations)
- Direct Search Based on Probabilistic Descent (44 citations)
- Trust-Region Methods Without Using Derivatives: Worst Case Complexity and the NonSmooth Case (27 citations)
In his most recent research, the most cited papers focused on:
- Mathematical optimization
- Statistics
- Mathematical analysis
Luís Nunes Vicente mostly deals with Mathematical optimization, Worst-case complexity, Trust region, Probabilistic logic and Iterated function.
As part of his studies on Mathematical optimization, Luís Nunes Vicente often connects relevant areas like Quadratic equation.
His research integrates issues of Convex function and Regular polygon in his study of Worst-case complexity.
His studies deal with areas such as Stochastic programming, Probabilistic-based design optimization and Descent as well as Trust region.
His Probabilistic logic research is multidisciplinary, relying on both Type, Matching, Algorithm, Polling and Bounded function.
His work deals with themes such as Discrete mathematics and Sequence, which intersect with Iterated function.
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