Collection
Special Issue: Optimization, Control and Their Applications
- Submission status
- Closed
Professor Boris Teodorovich Polyak was born on May 4, 1935 and passed away on February 3, 2023. This SI is dedicated to his memory and celebrates his fundamental achievements in Optimization, Control, and Their Applications. Professor Polyak was a world leader in these domains being a founder of several scientific schools. In particular, he was the first who thought on acceleration of the Gradient Method by suggesting a momentum idea (Heavy Ball Method). He proposed several variants of the subgradient method, which form the basis of the modern theory of Nonsmooth Optimization. His interpretation of Modified Lagrangians paved a way for proper understanding of this technique. Several, by now classical, notions of modern Optimization, such as, uniformly convex functions, gradient-dominated functions, sharp minimum, and many more, were proposed in his papers. Finally, his famous book “Introduction to Optimization” (1983) fixed the state of art for the first period in the development of Optimization Theory and highlighted the most interesting directions for further research.
In Control Theory, Professor Polyak was a major player in robust control theory and its applications, stochastic methods in control, well-posedness in optimal control and the calculus of variations, etc. He was a member of the JOTA Editorial Board for many decades.
Editors
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Boris Mordukhovich
Wayne State University boris@math.wayne.edu
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Arkadi Nemirovski
Georgia Institute of Technology nemirovs@isye.gatech.edu
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Yurii Nesterov
Catholic University of Louvain, Belgium nesterov@core.ucl.ac.be
Articles (12 in this collection)
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Infeasible and Critically Feasible Optimal Control
Authors
- Regina S. Burachik
- C. Yalçın Kaya
- Walaa M. Moursi
- Content type: OriginalPaper
- Open Access
- Published: 10 April 2024
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Polyak Minorant Method for Convex Optimization
Authors
- Nikhil Devanathan
- Stephen Boyd
- Content type: OriginalPaper
- Published: 30 March 2024
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Catching-Up Algorithm with Approximate Projections for Moreau’s Sweeping Processes
Authors
- Juan Guillermo Garrido
- Emilio Vilches
- Content type: OriginalPaper
- Published: 18 March 2024
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A Mirror Inertial Forward–Reflected–Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness
Authors (first, second and last of 4)
- Ziyuan Wang
- Andreas Themelis
- Xianfu Wang
- Content type: OriginalPaper
- Published: 20 February 2024
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Relaxed-Inertial Proximal Point Algorithms for Nonconvex Equilibrium Problems with Applications
Authors
- Sorin-Mihai Grad
- Felipe Lara
- Raúl Tintaya Marcavillaca
- Content type: OriginalPaper
- Published: 06 February 2024
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Exact SDP Reformulations for Adjustable Robust Quadratic Optimization with Affine Decision Rules
Authors
- Huan Zhang
- Xiangkai Sun
- Kok Lay Teo
- Content type: OriginalPaper
- Published: 02 February 2024
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On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations
Authors
- A. F. Izmailov
- M. V. Solodov
- Content type: OriginalPaper
- Published: 17 January 2024
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Behavior of Newton-Type Methods Near Critical Solutions of Nonlinear Equations with Semismooth Derivatives
Authors
- Andreas Fischer
- Alexey F. Izmailov
- Mario Jelitte
- Content type: OriginalPaper
- Published: 18 December 2023
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Inexact Reduced Gradient Methods in Nonconvex Optimization
Authors
- Pham Duy Khanh
- Boris S. Mordukhovich
- Dat Ba Tran
- Content type: OriginalPaper
- Published: 19 October 2023
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Strong Duality and Solution Existence Under Minimal Assumptions in Conic Linear Programming
Authors
- Nguyen Ngoc Luan
- Nguyen Dong Yen
- Content type: OriginalPaper
- Published: 17 October 2023
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Approximate Solutions for Three Fixed Point Problems
Authors
- Alexander J. Zaslavski
- Content type: OriginalPaper
- Published: 15 October 2023