What is he best known for?
The fields of study he is best known for:
- Mathematical optimization
- Mathematical analysis
- Algorithm
His primary areas of investigation include Mathematical optimization, Algorithm, Constrained optimization, Optimal control and Optimization problem.
His studies deal with areas such as Numerical analysis and Nonlinear programming as well as Mathematical optimization.
His work on Theory of computation is typically connected to Identification scheme and Instrumental variable as part of general Algorithm study, connecting several disciplines of science.
His work deals with themes such as Penalty method, Linear system, Semi-infinite, Systems design and Lipschitz continuity, which intersect with Constrained optimization.
His work carried out in the field of Optimal control brings together such families of science as Open-loop controller, Bounded function and Nonlinear system.
His research integrates issues of Multivariable calculus and Inequality in his study of Optimization problem.
His most cited work include:
- Optimization: Algorithms and Consistent Approximations (941 citations)
- Computational methods in optimization (737 citations)
- Computational methods in optimization : a unified approach (534 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical optimization, Optimal control, Algorithm, Optimization problem and Control theory.
His primary area of study in Mathematical optimization is in the field of Constrained optimization.
The various areas that Elijah Polak examines in his Constrained optimization study include Engineering optimization and Minification.
His Linear-quadratic-Gaussian control study, which is part of a larger body of work in Optimal control, is frequently linked to Optimal design, bridging the gap between disciplines.
His studies deal with areas such as Function, Penalty method, Modes of convergence and Inequality as well as Algorithm.
His research investigates the connection with Discretization and areas like Semi-infinite which intersect with concerns in Discrete mathematics.
He most often published in these fields:
- Mathematical optimization (64.71%)
- Optimal control (27.45%)
- Algorithm (26.47%)
What were the highlights of his more recent work (between 2001-2020)?
- Mathematical optimization (64.71%)
- Optimal control (27.45%)
- Discretization (12.75%)
In recent papers he was focusing on the following fields of study:
His main research concerns Mathematical optimization, Optimal control, Discretization, Algorithm and Optimization problem.
Elijah Polak performs integrative study on Mathematical optimization and Optimal design in his works.
As part of the same scientific family, he usually focuses on Optimal control, concentrating on Solver and intersecting with State space and Dynamic programming.
His research in Discretization intersects with topics in Development, Shape optimization problem, Boundary and Differential equation.
His research in Algorithm focuses on subjects like Semi-infinite programming, which are connected to Minimax approximation algorithm.
His studies in Optimization problem integrate themes in fields like Simple, Method of steepest descent and Applied mathematics.
Between 2001 and 2020, his most popular works were:
- Algorithms with Adaptive Smoothing for Finite Minimax Problems (86 citations)
- Reliability-based optimal design using sample average approximations (61 citations)
- Optimal design with probabilistic objective and constraints (51 citations)
In his most recent research, the most cited papers focused on:
- Mathematical optimization
- Mathematical analysis
- Algorithm
Mathematical optimization, Sequence, Algorithm, Optimization problem and Discretization are his primary areas of study.
As a part of the same scientific family, Elijah Polak mostly works in the field of Mathematical optimization, focusing on Nonlinear programming and, on occasion, Trajectory.
His work in the fields of Theory of computation overlaps with other areas such as Adaptive smoothing.
His Optimization problem research incorporates elements of Function, Reduction and Applied mathematics.
As part of his studies on Discretization, Elijah Polak often connects relevant areas like Optimal control.
His Optimal control research incorporates themes from Infinite-dimensional optimization, Finite element method, Numerical integration, Solver and Ode.
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