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Miglena N. Koleva and Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two dis...
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Chao Wang, Jianhui Xu, Yuefeng Li, Tuanhui Wang and Qiwei Wang
Rockbursts are serious threats to the safe production of mining, resulting in great casualties and property losses. The accurate prediction of rockburst is an important premise that influences the safety and health of miners. As a classical machine learn...
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Vladimir Krutikov, Elena Tovbis, Anatoly Bykov, Predrag Stanimirovic, Ekaterina Chernova and Lev Kazakovtsev
We investigate a solution of a convex programming problem with a strongly convex objective function based on the dual approach. A dual optimization problem has constraints on the positivity of variables. We study the methods and properties of transformat...
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Vladimir Milic, Josip Kasac and Marin Lukas
This paper presents an approach for the solution of a zero-sum differential game associated with a nonlinear state-feedback H8
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control problem. Instead of using the approximation methods for solving the corresponding Hamilton?Jacobi?Isaacs (HJI) par...
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Dmitry Lukyanenko
The paper proposes a parallel algorithm for solving large overdetermined systems of linear algebraic equations with a dense matrix. This algorithm is based on the use of a modification of the conjugate gradient method, which is able to take into account ...
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Cuiran Li, Yongjie Lu, Jianli Xie and Zepeng Zhang
This paper proposes an intelligent reflecting surface (IRS)-assisted energy efficiency optimization algorithm to address the problem of energy efficiency (EE) degradation in high-speed rail communication systems caused by line-of-sight link blockages bet...
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Dmitry Lukyanenko, Valentin Shinkarev and Anatoly Yagola
This paper discusses a method for taking into account rounding errors when constructing a stopping criterion for the iterative process in gradient minimization methods. The main aim of this work was to develop methods for improving the quality of the sol...
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Min Bahadur Basnet, Mohammad Anas, Zarghaam Haider Rizvi, Asmer Hamid Ali, Mohammad Zain, Giovanni Cascante and Frank Wuttke
Full waveform inversion is a widely used technique to estimate the subsurface parameters with the help of seismic measurements on the surface. Due to the amount of data, model size and non-linear iterative procedures, the numerical computation of Full Wa...
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Hai Huyen Dam and Sven Nordholm
This paper proposes a new adaptive algorithm for the second-order blind signal separation (BSS) problem with convolutive mixtures by utilising a combination of an accelerated gradient and a conjugate gradient method. For each iteration of the adaptive al...
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Zabidin Salleh, Ghaliah Alhamzi, Ibitsam Masmali and Ahmad Alhawarat
The conjugate gradient method is one of the most popular methods to solve large-scale unconstrained optimization problems since it does not require the second derivative, such as Newton?s method or approximations. Moreover, the conjugate gradient method ...
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