What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Topology
His scientific interests lie mostly in Convex optimization, Mathematical optimization, Variational inequality, Applied mathematics and Convex analysis.
Alfredo N. Iusem interconnects Sequence, Bounded function and Combinatorics in the investigation of issues within Convex optimization.
His Mathematical optimization research includes themes of Algorithm, Lipschitz continuity and Proximal Gradient Methods.
Alfredo N. Iusem has researched Variational inequality in several fields, including Mathematical economics, Nash equilibrium, Monotone polygon and Algebra.
The Applied mathematics study which covers Mathematical analysis that intersects with Bregman divergence, Interior point method and Weak convergence.
His research in Convex analysis intersects with topics in Discrete mathematics, Subderivative and Convex set.
His most cited work include:
- Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (208 citations)
- A variant of korpelevich’s method for variational inequalities with a new search strategy (179 citations)
- Set-valued mappings and enlargements of monotone operators (172 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical optimization, Applied mathematics, Variational inequality, Convex optimization and Convex analysis.
His work deals with themes such as Proximal Gradient Methods, Algorithm and Regular polygon, which intersect with Mathematical optimization.
His Applied mathematics research includes elements of Weak convergence, Regularization, Solution set, Rate of convergence and Sequence.
His research on Variational inequality also deals with topics like
- Monotone polygon, which have a strong connection to Convex function,
- Feasible region which connect with Lipschitz continuity.
His Convex optimization research incorporates elements of Linear matrix inequality and Method of steepest descent.
Alfredo N. Iusem focuses mostly in the field of Convex analysis, narrowing it down to matters related to Subderivative and, in some cases, Convex set.
He most often published in these fields:
- Mathematical optimization (35.17%)
- Applied mathematics (35.17%)
- Variational inequality (20.69%)
What were the highlights of his more recent work (between 2012-2021)?
- Applied mathematics (35.17%)
- Variational inequality (20.69%)
- Mathematical optimization (35.17%)
In recent papers he was focusing on the following fields of study:
Applied mathematics, Variational inequality, Mathematical optimization, Solution set and Banach space are his primary areas of study.
The various areas that Alfredo N. Iusem examines in his Applied mathematics study include Nonlinear programming, Rate of convergence, Sequence, Eigenvalues and eigenvectors and Intersection.
His Variational inequality research is multidisciplinary, incorporating elements of Upper and lower bounds and Stochastic approximation.
His work carried out in the field of Banach space brings together such families of science as Optimization problem, Convex function, Equilibrium problem and Hilbert space.
His biological study spans a wide range of topics, including Fixed point and Convex analysis.
His Monotone polygon study incorporates themes from Proper convex function, Algebra and Convex optimization.
Between 2012 and 2021, his most popular works were:
- Extragradient Method with Variance Reduction for Stochastic Variational Inequalities (64 citations)
- Concepts and techniques of optimization on the sphere (27 citations)
- Projections onto convex sets on the sphere (23 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Topology
Alfredo N. Iusem mainly focuses on Variational inequality, Mathematical optimization, Applied mathematics, Stochastic approximation and Solution set.
While working on this project, Alfredo N. Iusem studies both Variational inequality and Projection method.
His study on Mathematical optimization is mostly dedicated to connecting different topics, such as Nonlinear programming.
Alfredo N. Iusem combines subjects such as Quadratic equation, Eigenvalues and eigenvectors and Stationary point with his study of Applied mathematics.
His study looks at the relationship between Truncation and topics such as Convex function, which overlap with Convex optimization.
His research integrates issues of Convex hull and Pure mathematics in his study of Convex analysis.
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