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- Benar Fux Svaiter

Mathematics

Brazil

2023

Engineering and Technology

Brazil

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
38
Citations
7,647
92
World Ranking
2779
National Ranking
7

Mathematics
D-index
49
Citations
9,725
155
World Ranking
840
National Ranking
4

2023 - Research.com Mathematics in Brazil Leader Award

2022 - Research.com Engineering and Technology in Brazil Leader Award

2022 - Research.com Mathematics in Brazil Leader Award

- Mathematical analysis
- Quantum mechanics
- Geometry

Benar Fux Svaiter focuses on Mathematical optimization, Monotone polygon, Algorithm, Variational inequality and Solution set. His Mathematical optimization research incorporates themes from Proximal Gradient Methods, Convex optimization and Lipschitz continuity. Benar Fux Svaiter works mostly in the field of Monotone polygon, limiting it down to concerns involving Discrete mathematics and, occasionally, Zero.

His Algorithm research includes themes of Rate of convergence and Monotonic function. His studies examine the connections between Variational inequality and genetics, as well as such issues in Feasible region, with regards to Constant, Function and Dykstra's projection algorithm. The Mathematical analysis study which covers Pure mathematics that intersects with Newton's method.

- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods (716 citations)
- A New Projection Method for Variational Inequality Problems (356 citations)
- Steepest descent methods for multicriteria optimization (316 citations)

His main research concerns Monotone polygon, Mathematical optimization, Applied mathematics, Mathematical analysis and Discrete mathematics. His Monotone polygon research incorporates elements of Banach space, Pure mathematics, Combinatorics, Variational inequality and Monotonic function. He has researched Variational inequality in several fields, including Bounded function and Feasible region.

His Mathematical optimization study integrates concerns from other disciplines, such as Convex optimization, Proximal Gradient Methods, Algorithm and Iterated function. In his study, Rate of convergence and Lipschitz continuity is strongly linked to Newton's method, which falls under the umbrella field of Mathematical analysis. The concepts of his Discrete mathematics study are interwoven with issues in Strongly monotone, Pointwise and Subderivative.

- Monotone polygon (29.31%)
- Mathematical optimization (24.71%)
- Applied mathematics (20.69%)

- Applied mathematics (20.69%)
- Monotone polygon (29.31%)
- Discrete mathematics (16.67%)

Benar Fux Svaiter mainly investigates Applied mathematics, Monotone polygon, Discrete mathematics, Convex optimization and Mathematical optimization. His study in Applied mathematics is interdisciplinary in nature, drawing from both Regularization, Mathematical analysis, Lipschitz continuity and Nonlinear system. The Monotone polygon study combines topics in areas such as Weak convergence, Zero, Hilbert space, Ergodic theory and Newton's method.

In his study, Rate of convergence and Pure mathematics is inextricably linked to Subderivative, which falls within the broad field of Weak convergence. His research integrates issues of Pointwise, Monotonic function and Maximal function in his study of Discrete mathematics. His Mathematical optimization research incorporates elements of Algorithm, Iterated function, Quadratic equation and Proximal Gradient Methods.

- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods (716 citations)
- ITERATION-COMPLEXITY OF BLOCK-DECOMPOSITION ALGORITHMS AND THE ALTERNATING DIRECTION METHOD OF MULTIPLIERS ∗ (163 citations)
- An Accelerated Hybrid Proximal Extragradient Method for Convex Optimization and Its Implications to Second-Order Methods (92 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary scientific interests are in Convex optimization, Monotone polygon, Algorithm, Mathematical optimization and Mathematical analysis. His Convex optimization study deals with Conic section intersecting with Differentiable function. His studies in Monotone polygon integrate themes in fields like Ergodic theory, Rate of convergence and Hilbert space.

His work deals with themes such as Approximations of π, Acceleration and Resolvent, which intersect with Algorithm. His Mathematical optimization study frequently draws connections to adjacent fields such as Proximal Gradient Methods. His Mathematical analysis research includes themes of Regularization, Newton's method, Scalar and Applied mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods

Hedy Attouch;Jérôme Bolte;Benar Fux Svaiter.

Mathematical Programming **(2013)**

1056 Citations

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods

Hedy Attouch;Jérôme Bolte;Benar Fux Svaiter.

Mathematical Programming **(2013)**

1056 Citations

A New Projection Method for Variational Inequality Problems

M. V. Solodov;B. F. Svaiter.

Siam Journal on Control and Optimization **(1999)**

619 Citations

A New Projection Method for Variational Inequality Problems

M. V. Solodov;B. F. Svaiter.

Siam Journal on Control and Optimization **(1999)**

619 Citations

Steepest descent methods for multicriteria optimization

Jörg Fliege;Benar Fux Svaiter.

Mathematical Methods of Operations Research **(2000)**

536 Citations

Steepest descent methods for multicriteria optimization

Jörg Fliege;Benar Fux Svaiter.

Mathematical Methods of Operations Research **(2000)**

536 Citations

Forcing strong convergence of proximal point iterations in a Hilbert space

Mikhail V. Solodov;Benar Fux Svaiter.

Mathematical Programming **(2000)**

449 Citations

Forcing strong convergence of proximal point iterations in a Hilbert space

Mikhail V. Solodov;Benar Fux Svaiter.

Mathematical Programming **(2000)**

449 Citations

A HYBRID APPROXIMATE EXTRAGRADIENT - PROXIMAL POINT ALGORITHM USING THE ENLARGEMENT OF A MAXIMAL MONOTONE OPERATOR

M. V. Solodov;B. F. Svaiter.

Set-valued Analysis **(1999)**

337 Citations

A HYBRID APPROXIMATE EXTRAGRADIENT - PROXIMAL POINT ALGORITHM USING THE ENLARGEMENT OF A MAXIMAL MONOTONE OPERATOR

M. V. Solodov;B. F. Svaiter.

Set-valued Analysis **(1999)**

337 Citations

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