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- Elijah Polak

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

Mathematics
D-index
53
Citations
11,336
194
World Ranking
656
National Ranking
337

Engineering and Technology
D-index
53
Citations
12,469
195
World Ranking
1676
National Ranking
664

1977 - IEEE Fellow For contributions to the theory and implementation of numerical algorithms optimal control and nonlinear programming.

1968 - Fellow of John Simon Guggenheim Memorial Foundation

- 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.

- Optimization: Algorithms and Consistent Approximations (941 citations)
- Computational methods in optimization (737 citations)
- Computational methods in optimization : a unified approach (534 citations)

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.

- Mathematical optimization (64.71%)
- Optimal control (27.45%)
- Algorithm (26.47%)

- Mathematical optimization (64.71%)
- Optimal control (27.45%)
- Discretization (12.75%)

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.

- 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)

- 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.

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.

Optimization: Algorithms and Consistent Approximations

Elijah Polak.

**(1997)**

1517 Citations

Computational methods in optimization

E. Polak.

**(1971)**

1171 Citations

System Theory

L.A. Zadeh;E. Polak;Lotfi Zadeh.

**(1963)**

1142 Citations

Computational methods in optimization : a unified approach

Elijah Polak.

Mathematics of Computation **(1972)**

842 Citations

Absolute Stability of Regulator Systems

M. A. Aĭzerman;F. R. Gantmakher;Elijah Polak.

**(1964)**

426 Citations

On the mathematical foundations of nondifferentiable optimization in engineering design

E. Polak.

Siam Review **(1987)**

388 Citations

Identification of linear discrete time systems using the instrumental variable method

Kwan Wong;E. Polak.

IEEE Transactions on Automatic Control **(1967)**

363 Citations

Theory of optimal control and mathematical programming

Michael D. Canon;Clifton D. Cullum;Elijah Polak.

**(1969)**

349 Citations

Reliability-based optimal structural design by the decoupling approach

J.O. Royset;A. Der Kiureghian;E. Polak.

Reliability Engineering & System Safety **(2001)**

283 Citations

Constrained minimization under vector-valued criteria in finite dimensional spaces☆

N.O Da Cunha;E Polak.

Journal of Mathematical Analysis and Applications **(1967)**

281 Citations

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