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19962026
most citedUltra-high-Q resonances in plasmonic metasurfaces

460 citations

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9 papers · 1 filter

math.OC2024★ 1 cited

Lossy Image Compression with Stochastic Quantization

Anton Kozyriev, Vladimir Norkin

Lossy image compression algorithms play a crucial role in various domains, including graphics, and image processing. As image information density increases, so do the resources req…

math.OC2023

On Shor's r-Algorithm for Problems with Constraints

Vladimir Norkin, Anton Kozyriev

Shor's r-algorithm (Shor, Zhurbenko (1971), Shor (1979)) with space stretching in the direction of difference of two adjacent subgradients is a competitive method of nonsmooth opti…

math.OC2021★ 14 cited

On Boundary Exact Controllability of One-Dimensional Wave Equations with Weak and Strong Interior Degeneration

Peter I. Kogut, Olha P. Kupenko, Günter Leugering

In this paper we study exact boundary controllability for a linear wave equation with strong and weak interior degeneration of the coefficient in the principle part of the elliptic…

math.OC2018

An example showing that A-lower semi-continuity is essential for minimax continuity theorems

Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky

Recently Feinberg et al. [arXiv:1609.03990] established results on continuity properties of minimax values and solution sets for a function of two variables depending on a paramete…

math.OC2017

Solutions for Zero-Sum Two-Player Games with Noncompact Decision Sets and Unbounded Payoffs

Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky

This paper provides sufficient conditions for the existence of solutions for two-person zero-sum games with inf/sup-compact payoff functions and with possibly noncompact decision s…

math.OC2017★ 65 cited

The (logarithmic) least squares optimality of the arithmetic (geometric) mean of weight vectors calculated from all spanning trees for incomplete additive (multiplicative) pairwise comparison matrices

Sándor Bozóki, Vitaliy Tsyganok

Complete and incomplete additive/multiplicative pairwise comparison matrices are applied in preference modelling, multi-attribute decision making and ranking. The equivalence of tw…

math.OC2015★ 6 cited

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities

Illya M. Karabash, Olga M. Logachova, Ievgen V. Verbytskyi

Quasi-normal-eigenvalue optimization is studied under constraints on structure functions of 2-side open optical or mechanical resonators. We prove…

math.OC2014

Continuity of Minima: Local Results

Eugene A. Feinberg, Pavlo O. Kasyanov

This paper compares and generalizes Berge's maximum theorem for noncompact image sets established in Feinberg, Kasyanov and Voorneveld (2014) and the local maximum theorem establis…

math.OC2012★ 1 cited

Average-Cost Markov Decision Processes with Weakly Continuous Transition Probabilities

Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk

This paper presents sufficient conditions for the existence of stationary optimal policies for average-cost Markov Decision Processes with Borel state and action sets and with weak…