An Iterative Method for the Least-Squares Problems of a General Matrix Equation Subjects to Submatrix Constraints by Li-fang Dai, Mao-lin Liang, Yong-hong Shen

“…For any initial iterative matrices, we show that the least-squares solution can be derived by this method within finite iteration steps in the absence of roundoff errors. …”
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A new method for surge arrester placement in high‐voltage substations considering environmental effects by Faridoddin Safaei, Mohsen Niasati

“…Simulations of the sample network and implementation of the proposed algorithm with MATLAB and EMTP‐RV prove the efficiency of the proposed method for optimum SA placement.…”
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RESOLVING POWER OF MODIFIED IMAGE RECONSTRUCTION METHOD IN SPIN DENSITY PROJECTIONS IN MAGNETIC RESONANCE IMAGING by S. A. Baruzdin

“…The well-known method of image reconstruction by projections in magnetic resonance imaging uses spin echo excited by two sinc pulses. …”
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About Application the Tyre-Road Adhesion Determination of a Vehicle Equipped with an Automated System of Brake Proportioning by D. N. Leontiev, I. N. Nikitchenko, L. A. Ryzhyh, S. I. Lomaka, O. I. Voronkov, I. V. Hritsuk, S. V. Pylshchyk, O. V. Kuripka

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Study on Detection Method of Sulfamethazine Residues in Duck Blood Based on Surface-Enhanced Raman Spectroscopy by Junshi Huang, Runhua Zhou, Jinlong Lin, Qi Chen, Ping Liu, Shuanggen Huang, Jinhui Zhao

“…The experimental results found that the adaptive iteratively reweighted penalized least-squares method (air-PLS) was the best preprocessing method, and the competitive adaptive reweighted sampling–multiple linear regression (CARS-MLR) model demonstrated the best prediction performance, with a coefficient of determination for the prediction set (R_p²) of 0.9817, a root mean square error of calibration (RMSEC) of 1.5539 mg/L, a relative prediction deviation (RPD) of 7.1953, and limits of quantification of 0.75 mg/L. …”
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Radiation Mapping: A Gaussian Multi-Kernel Weighting Method for Source Investigation in Disaster Scenarios by Songbai Zhang, Qi Liu, Jie Chen, Yujin Cao, Guoqing Wang

“…Notably, the coefficient of determination (<i>R</i>²) increased to 0.937. …”
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GENERAL SCALARIZATION METHOD OF DYNAMIC ELASTIC FIELDS IN TRANSVERSALLY ISOTROPIC MEDIA AND ITS NEW APPLICATIONS by I. P. Miroshnichenko, V. P. Sizov

“…However, other cases of the mutual arrangement of the material symmetry axis of the  material  and  the boundaries between layers are of interest on the practical side.Materials and Methods. The work objective is further development of the scalarization method application in the boundary value problems of the dynamic  elasticity theory for the cases of an arbitrary arrangement of the material symmetry axis relative to the boundary between layers. …”
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Design and Analysis of a Hybrid MPPT Method for PV Systems Under Partial Shading Conditions by Oğuzhan Timur, Bayram Kaan Uzundağ

“…Consequently, the proposed method seems to be an efficient method in terms of undershoot voltage, convergence time, tracking accuracy, and efficiency under partial shading conditions.…”
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High-Precision Dynamics Characteristic Modeling Method Research considering the Influence Factors of Hydropneumatic Suspension by Wenguang Wu, Hongliang Tang, Sha Zhang, Lin Hu, Fanhao Zhang

“…The proposed modeling method of the HPS nonlinear characteristics is highly efficient, accurate, and faster than traditional methods.…”
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Research on the Transformer Failure Diagnosis Method Based on Fluorescence Spectroscopy Analysis and SBOA Optimized BPNN by Xueqing Chen, Dacheng Li, Anjing Wang

“…By using the mathematical evaluation methods to comprehensively evaluate and compare the effects of various algorithm models, it was found that the Loess-MDS-SBOA-BP model has the best performance, with its determination coefficient (R²) increasing to 99.711%, the root mean square error (RMSE) being only 0.27144, and the other evaluation indicators also being optimal. …”
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An Improved Size and Direction Adaptive Filtering Method for Bathymetry Using ATLAS ATL03 Data by Lei Kuang, Mingquan Liu, Dongfang Zhang, Chengjun Li, Lihe Wu

“…After applying refraction correction, the high accuracy of bathymetry was evidenced by a strong coefficient of determination (R<sup data-eusoft-scrollable-element="1">2</sup>) and a low root mean square error (RMSE) between the ICESat-2 bathymetry data and ALB data. …”
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Effectiveness of Using a Constant Coefficient in Combining Forecasts to Improve Forecasting Accuracy by A. A. Surkov

“…The purpose of the study is to determine the advantages and disadvantages of using a constant coefficient when combining forecasts based on available practical and theoretical data, as well as to form a unified approach to this issue. …”
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Structural Topology Optimization for Frequency Response Problems Using Adaptive Second-Order Arnoldi Method by Yongxin Qu, Yonghui Zhou, Yunfeng Luo

“…Compared to the SOAR, the ASOAR can deal with wide low/mid-frequency bands both for response and adjoint equations with high precision and efficiency. Numerical examples show the validation and effectiveness of the proposed method.…”
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Analysis of influential factors on temperature field in the construction of concrete warm shed method for pile cap by Zhe Zhang, Quansheng Sun, XiaoQian Li, Lin Wang, Yangxuan Gao, Zhengyi Liu, Yancheng Liu

“…Abstract In order to enhance the curing efficiency of the heating shed method, this study employs field testing and numerical simulation techniques. …”
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Kretschmann configuration as a method to enhance optical absorption in two-dimensional graphene-like semiconductors by A. А. Guskov, N. V. Bezvikonnyi, S. D. Lavrov

“…Methods. A numerical modeling method was applied using the finite element method for solving Maxwell’s equations. …”
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Collaborative optimization of the Mathews stability graph method and numerical simulation for the limit exposure area in stope by Chunlin You, Jianhua Hu, Jianing Li, Jiwei Zhang, Zhonghua Qi

“…Abstract Significant hanging wall exposure in stopes of underground iron mines with inclined orebodies affects mine safety and efficiency. An extended Mathews stability graph method, combined with numerical simulations, was employed to evaluate stope stability. …”
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Method for Improving the Evaluation Quality of the Second Cementing Interface Using Acoustic Time Difference Curve by QIU Enbo, ZHANG Boxin, DAI Yuexiang, DENG Zhaoyuan, CHEN Jing, YANG Xi, TIAN Shiyong, Tonggulike, QI Fei, CHEN Yu, ZHANG Xu, HUANG Haitao

“…Acoustic variable density logging uses the formation wave amplitude received by the 5 ft probe to evaluate the cement bonding quality at the second cementing interface, which is one of the few logging methods that can effectively evaluate the second cementing interface. …”
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Screening Method to Identify Watermelon Cultivars Resistant to Acidovorax citrulli, the Cause of Bacterial Fruit Blotch by Soo Min Lee, Gahyeon Kim, Hun Kim, Gyung Ja Choi

“…Herein, this study aimed to establish an efficient screening method to determine the resistance of watermelon cultivars against A. citrulli. …”
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A Simplified Method of Flexible Conductors Mechanic Calculation in Switchgears without Restrictions on the Number of Taps by Yu. V. Bladyko, E. G. Ponomarenko, P. I. Klimkovich

“…Concentrated loads mainly act in the vertical plane, and in the case of taps, they can have an almost arbitrary spatial direction. The most accurate methods of mechanical calculation of flexible conductors include methods based on the numerical solution of the equation of wires in the form of a flexible elastic thread. …”
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Investigating the truncated fractional telegraph equation in engineering: Solitary wave solutions, chaotic and sensitivity analysis by Usman Younas, Jan Muhammad, Muhammad Amin S. Murad, D.K. Almutairi, Aziz Khan, Thabet Abdeljawad

“…The algorithms of the proposed techniques are outstanding allowing them to resolve exact soliton solutions in complex nonlinear structures with high precision in an efficient and effective manner. The results obtained may enhance the understanding of nonlinear system dynamics and validate current methods, significantly contributing to the fields of nonlinear science and wave phenomena. …”
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