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Journal articles on the topic 'Method of least square'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

张, 熙. "Modified Moving Least Square Method." Advances in Applied Mathematics 05, no. 04 (2016): 662–71. http://dx.doi.org/10.12677/aam.2016.54078.

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2

Dokoupil, Jakub, and Vladimír Burlak. "Variable Regularized Square Root Recursive Least Square Method." IFAC Proceedings Volumes 45, no. 7 (2012): 78–82. http://dx.doi.org/10.3182/20120523-3-cz-3015.00017.

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3

Jumaah, Al-Nussairi Ahmed Kateb. "Enhanced Least Square Method for Indoor Positioning System Using UWB Technology." Webology 19, no. 1 (2022): 3815–34. http://dx.doi.org/10.14704/web/v19i1/web19251.

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One of the main radio technologies that could be used for indoor localization is Ultra-wideband, (UWB). It is a short-range RF technology for wireless communication that can be leveraged to detect the location of people, devices, and assets with significant precision. But, it has a major limitation which is the need for a non-line-of-sight (NLOS) identification and mitigation approach to precise location a target in a hard indoor environment. The NLOS approach will complicate the positioning approach. The goals of this work are; i- for saving cost and time of installation of anchor nodes, the

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4

Yeniay, Özgür, Öznur İşçi, Atilla Göktaş, and M. Niyazi Çankaya. "Time Scale in Least Square Method." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/354237.

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Study of dynamic equations in time scale is a new area in mathematics. Time scale tries to build a bridge between real numbers and integers. Two derivatives in time scale have been introduced and called as delta and nabla derivative. Delta derivative concept is defined as forward direction, and nabla derivative concept is defined as backward direction. Within the scope of this study, we consider the method of obtaining parameters of regression equation of integer values through time scale. Therefore, we implemented least squares method according to derivative definition of time scale and obtai

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5

Lieb, Shannon G. "Simplex Method of Nonlinear Least-Squares - A Logical Complementary Method to Linear Least-Square Analysis of Data." Journal of Chemical Education 74, no. 8 (1997): 1008. http://dx.doi.org/10.1021/ed074p1008.

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6

Zhen, Chen, Xu Jing, Xu Wenhui, Guo Zihan, and Qin Chuan. "Precise Locating Algorithm by Modified Least Square Method for CES Switch Operating." International Journal of Electronics and Electrical Engineering 9, no. 1 (2021): 11–15. http://dx.doi.org/10.18178/ijeee.9.1.11-15.

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Accurate positioning method of three dimensional pose of space circle is a typical problem of binocular vision. The correlation algorithm is particularly important for the positioning accuracy in the case of strong interference of edge feature information. According to the precise positioning requirements of the distribution cabinet handcart in the distribution room, this paper establishes the elliptic curve optimization method based on the European distance minimization feature. Based on the least square method, the information model of the outside edge of the switch is established by using t

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7

Wang, Qiao, Wei Zhou, Yonggang Cheng, et al. "Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices." Applied Mathematics and Computation 325 (May 2018): 120–45. http://dx.doi.org/10.1016/j.amc.2017.12.017.

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8

Kim, Nam, and Jung-Hun Choi. "Least Square Channel Estimation Scheme of OFDM System using Fuzzy Inference Method." Journal of the Korea Contents Association 9, no. 5 (2009): 84–90. http://dx.doi.org/10.5392/jkca.2009.9.5.084.

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9

Zulkifli, Raudhah, Nazim Aimran, Sayang Mohd Deni, and Fatin Najihah Badarisam. "A comparative study on the performance of maximum likelihood, generalized least square, scale-free least square, partial least square and consistent partial least square estimators in structural equation modeling." International Journal of Data and Network Science 6, no. 2 (2022): 391–400. http://dx.doi.org/10.5267/j.ijdns.2021.12.015.

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Structural equation modeling offers various estimation methods for estimating parameters. The most used method in covariance-based structural equation modeling (CB-SEM) is the maximum likelihood (ML) estimator. The ML estimator is typically used when fitting models with normally distributed data. The growth of partial least squares path modeling (PLS-PM), including consistent partial least squares (PLSc), has also been noticed by researchers in the SEM fields. The PLSc has elevated interest in the scholastic setting in measuring the performance of various estimation methods in structural equat

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10

Zhu, Qiang, Guo Hui Zhang, and Zhen Xu. "Radius Constraint Least-Square Circle Fitting Method." Advanced Materials Research 411 (November 2011): 241–44. http://dx.doi.org/10.4028/www.scientific.net/amr.411.241.

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Short arc usually lost the most part of information in measurement, therefore the fitting center can not be found accurately. The shortage of least-square method is analyzed in short arc fitting. The uncertainty of fitting center direction and fitting radius is illustrated. And we derived the solution to estimation of fitting center direction. Base on the testing environment, radius constraint least-square fitting circle method is proposed. Simulations demonstrated excellent performance of this algorithm.

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11

Albrecht, Felipe Fernandes, Antônio Luís Sombra De Medeiros, Mitri Martins Alves De Britto, and Nelson Antônio Borges Garcia. "Least Square Method for inferring Phylogenic trees." Latin American Journal of Development 4, no. 2 (2022): 301–10. http://dx.doi.org/10.46814/lajdv4n2-001.

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Nowadays, an important problem in Biomathematics is how to efficiently compute the length for the phylogenic tree branches. The approach followed herein is to employ the distance matrices method which leads to least square problems. The related tree construction strategy then generates block tridiagonal systems of linear equations. Experiments in solving them with the conjugate gradient method coupled to different block preconditioners were performed. Preliminary results confirm a high performance for some preconditioning choices.

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12

Axelsson, O. "A generalized conjugate gradient, least square method." Numerische Mathematik 51, no. 2 (1987): 209–27. http://dx.doi.org/10.1007/bf01396750.

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13

Wang, Hong-Yan, Dao-Hong Xiang, and Ding-Xuan Zhou. "Moving least-square method in learning theory." Journal of Approximation Theory 162, no. 3 (2010): 599–614. http://dx.doi.org/10.1016/j.jat.2009.12.002.

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14

Sameer Sheikh, Muhammad, Qunsheng Cao, and Caiyun Wang. "Analysis of Real Ocean Surface Photo Imaging by Using Weighted Least Square Method." International Journal of Modeling and Optimization 5, no. 1 (2015): 1–5. http://dx.doi.org/10.7763/ijmo.2015.v5.426.

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15

Harshavardhan, P., and A. Raja. "Comparison on BER Performance Using Linear Filtering Least Square Method and Least Square Method for MIMO-OFDM Based Communication Systems." ECS Transactions 107, no. 1 (2022): 14197–204. http://dx.doi.org/10.1149/10701.14197ecst.

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In Multiple Input Multiple Output Orthogonal Frequency Division Multiplexing (MIMO-OFDM) systems, the Bit Error Rate is poor by using Linear Filtering Least Square method (LFLS) and Least Square (LS) method for massive MIMO-OFDM systems to extend the strength of the signal and to scale back the noise. Therefore the objective of the project is to maintain better Bit Error Rate performance. Materials and methods: Using Linear Filtering Least Square method, different values are used to enhance the Bit Error Rate (BER). The proposed method is compared with the least square method, the results are

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16

Araveeporn, Autcha. "Comparing Parameter Estimation of Random Coefficient Autoregressive Model by Frequentist Method." Mathematics 8, no. 1 (2020): 62. http://dx.doi.org/10.3390/math8010062.

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This paper compares the frequentist method that consisted of the least-squares method and the maximum likelihood method for estimating an unknown parameter on the Random Coefficient Autoregressive (RCA) model. The frequentist methods depend on the likelihood function that draws a conclusion from observed data by emphasizing the frequency or proportion of the data namely least squares and maximum likelihood methods. The method of least squares is often used to estimate the parameter of the frequentist method. The minimum of the sum of squared residuals is found by setting the gradient to zero.

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17

Yang, Dong-Sheng, and Qiang Xu. "Virtual boundary meshless least square integral method with moving least squares approximation for 2D elastic problem." Engineering Analysis with Boundary Elements 37, no. 3 (2013): 616–23. http://dx.doi.org/10.1016/j.enganabound.2013.01.006.

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18

Abdi, Hamdan, Sajaratud Dur, Rina Widyasar, and Ismail Husein. "Analysis of Efficiency of Least Trimmed Square and Least Median Square Methods in The Estimation of Robust Regression Parameters." ZERO: Jurnal Sains, Matematika dan Terapan 4, no. 1 (2020): 21. http://dx.doi.org/10.30829/zero.v4i1.7933.

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<span lang="EN">Robust regression is a regression method used when the remainder's distribution is not reasonable, or there is an outreach to observational data that affects the model. One method for estimating regression parameters is the Least Squares Method (MKT). The method is easily affected by the presence of outliers. Therefore we need an alternative method that is robust to the presence of outliers, namely robust regression. Methods for estimating robust regression parameters include Least Trimmed Square (LTS) and Least Median Square (LMS). These methods are estimators with high

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19

Sultanakhmedov, M. S. "On the convergence of the least square method in case of non-uniform grids." Issues of Analysis 26, no. 3 (2019): 166–86. http://dx.doi.org/10.15393/j3.art.2019.6410.

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20

Yang, Zhaoxin, Zhenghua Gu, and Wenqing Zhang. "Dynamic data processing method based on generalized least square method." Journal of Physics: Conference Series 2108, no. 1 (2021): 012057. http://dx.doi.org/10.1088/1742-6596/2108/1/012057.

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Abstract In this paper, a time domain-processing method is introduced for the dynamic calibration based on Hopkinson bar and shock tube. With a group of accelerometer and pressure sensor data processed in our work, the algorithm for establishing dynamic mathematical model is described in detail. “Generalized least square method for special whitening filter” and the simulation results are given. It shows that this method has the characteristics of simplicity and accuracy, and is especially suitable for the establishment of difference equation model in the data processing of dynamic calibration

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21

K.Mishra, Sanjiv, Shrikant Lade, and Mahesh Malivya. "Ear Recognition by using Least Mean Square Method." International Journal of Computer Applications 83, no. 12 (2013): 13–16. http://dx.doi.org/10.5120/14499-2277.

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22

ZHANG Yun-feng, 张云峰. "Radiance Calibration Based on Weighted Least Square Method." Chinese Journal of Liquid Crystals and Displays 27, no. 6 (2012): 832–36. http://dx.doi.org/10.3788/yjyxs20122706.0832.

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23

Hou Junfeng, 侯俊峰, 王东光 Wang Dongguang, 邓元勇 Deng Yuanyong, 张志勇 Zhang Zhiyong, and 孙英姿 Sun Yingzi. "Phase Retardation Measurement with Least Square Fitting Method." Acta Optica Sinica 31, no. 8 (2011): 0812001. http://dx.doi.org/10.3788/aos201131.0812001.

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24

Ibrahim, Salisu. "DISCRETE LEAST SQUARE METHOD FOR SOLVING DIFFERENTIAL EQUATIONS." Advances and Applications in Discrete Mathematics 30 (March 2, 2022): 87–102. http://dx.doi.org/10.17654/0974165822021.

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25

Min, Hyung-Gi, Ju-Han Yoon, Ji-Hoon Kim, Sung-Ha Kwon, and Eun-Tae Jeung. "Design of Complementary Filter using Least Square Method." Journal of Institute of Control, Robotics and Systems 17, no. 2 (2011): 125–30. http://dx.doi.org/10.5302/j.icros.2011.17.2.125.

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26

Chen, Jie, and Yingzeng Yin. "Novel Ameliorated Least Square Method for Beam Forming." Journal of Physics: Conference Series 1069 (August 2018): 012071. http://dx.doi.org/10.1088/1742-6596/1069/1/012071.

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27

Shan Ouyang and Yingbo Hua. "Bi-iterative least-square method for subspace tracking." IEEE Transactions on Signal Processing 53, no. 8 (2005): 2984–96. http://dx.doi.org/10.1109/tsp.2005.851102.

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28

Salehi, Rezvan, and Mehdi Dehghan. "A generalized moving least square reproducing kernel method." Journal of Computational and Applied Mathematics 249 (September 2013): 120–32. http://dx.doi.org/10.1016/j.cam.2013.02.005.

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29

Salehi, Rezvan, and Mehdi Dehghan. "A moving least square reproducing polynomial meshless method." Applied Numerical Mathematics 69 (July 2013): 34–58. http://dx.doi.org/10.1016/j.apnum.2013.03.001.

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30

李, 非. "Inner Product Space and the Least Square Method." Pure Mathematics 03, no. 01 (2013): 68–71. http://dx.doi.org/10.12677/pm.2013.31011.

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31

Flammini, Alessandra, Daniele Marioli, Emiliano Sisinni, and Andrea Taroni. "Least Mean Square Method for LVDT Signal Processing." IEEE Transactions on Instrumentation and Measurement 56, no. 6 (2007): 2294–300. http://dx.doi.org/10.1109/tim.2007.908248.

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32

Lin, Scott Shu-Cheng. "Analytic Hierarchy Process by Least Square Method Revisit." Mathematical Problems in Engineering 2019 (April 3, 2019): 1–5. http://dx.doi.org/10.1155/2019/2797515.

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We study the paper of Saaty and Vargas to discuss the solutions for a comparison matrix derived by eigenvector method, least square method, and logarithmic least square method, respectively. We prove that the prediction of Saaty and Vargas is valid. Our result will provide a patch work for the theoretic foundation for Analytic Hierarchy Process.

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33

Hashimoto, Koichi, and Hidenori Kimura. "A parallel architecture for recursive least square method." Electronics and Communications in Japan (Part I: Communications) 70, no. 4 (1987): 1–11. http://dx.doi.org/10.1002/ecja.4410700401.

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34

Shi, P., and X. Ye. "A least-square mixed method for Stokes equations." Numerical Methods for Partial Differential Equations 13, no. 2 (1997): 191–99. http://dx.doi.org/10.1002/(sici)1098-2426(199703)13:2<191::aid-num4>3.0.co;2-k.

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35

Kim, Byungsoo, Taesam Lee, and Taha B. M. J. Ouarda. "Total least square method applied to rating curves." Hydrological Processes 28, no. 13 (2013): 4057–66. http://dx.doi.org/10.1002/hyp.9944.

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36

Mohmadishak Sheikh, Chetan Sheth. "System State Estimation Using Weighted Least Square Method." Proceeding International Conference on Science and Engineering 11, no. 1 (2023): 1294–99. http://dx.doi.org/10.52783/cienceng.v11i1.276.

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State estimation is an essential part of every energy control management system. Accurate estimation of state or operating state is essential for security control and monitoring of power systems. Power system state estimation is a procedure to estimate true state from the inexact state of a power system. The conventional state estimator provides estimates of the power system states, i.e., bus voltages and angles which is obtained. State estimation is a computational technique for electrical power system. It empowers the calculation of the power flows of the electrical power system which are no

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37

Aspriyani, Riski, and Mizan Ahmad. "Prediksi Jumlah Siswa Baru Menggunakan Least Square Method." MAJAMATH: Jurnal Matematika dan Pendidikan Matematika 6, no. 1 (2023): 1–12. http://dx.doi.org/10.36815/majamath.v6i1.2517.

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In the process of admitting new students, each school has a different strategy to increase the number of applicants and the number of students accepted. The publication strategy is structured to achieve the expected goals or to get the number of students according to the quota. The publication strategy will work well if the school has predictive data on the number of students that will come. Therefore, researchers do research with the purpose to predict the number of new students at SMA Ya Bakii 1 Kesugihan using the Trend Linear model with the Least Square to the number of new students from 2

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38

Asti, Sekar Kinasih, Eltivia Nurafni, and Indah Riwajanti Nur. "Profit Prediction on MSME using Least Square Method." International Journal of Innovative Science and Research Technology 7, no. 12 (2023): 1993–97. https://doi.org/10.5281/zenodo.7556187.

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This objective of this study is to forecast the profits of Micro, Small and Medium Enterprises (MSMEs) using the Least Square Method. The data used are profit data for MSMEs located in Malang from November 2019 to October 2022. The method used in this research is the Least Square Method. This method is used to predict profit. The results of the profit forecasting in November 2022 have increased by IDR 6,264,396.

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39

Kurniawan, Arif, Loekito Loekito, and Solimun Solimun. "Power Of Test Path Analysis and Partial Least Square Analysis." CAUCHY 4, no. 3 (2016): 112. http://dx.doi.org/10.18860/ca.v4i3.3593.

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Path analysis Analysis and Partial Least Square (PLS) was used to analyze many variables. Both methods use the least squares method (OLS) that can be compared between the two to determine the best method in a study to get an assessment of the behavior of civil servants in the Government of Kediri.<br /> The purpose of this study is: comparing path analysis Analysis with Partial Least Square (PLS) on the power of the test and the valueR<sup>2</sup>.Path method is able to provide the value of R2 higher than Analysis of Partial Least Square (PLS) but the value of the test power

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40

Qin, Jiaohua, Xiaoyu Guo, XuyuXiang ., Lingyun Xiang, and LiliPan . "Steganalysis Based on Least Square Method for Multiple Least Significant Bits Steganography." Information Technology Journal 12, no. 6 (2013): 1233–38. http://dx.doi.org/10.3923/itj.2013.1233.1238.

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41

Anindita, Henindya Permatasari, and Dian Pratama Jovian. "HIGH ORDER ANTI EVEN LEAST SQUARE FOR APPROXIMATING PRIME NUMBERS BELOW 1000." International Journal of Mathematics and Computer Research 12, no. 06 (2024): 4315–19. https://doi.org/10.5281/zenodo.12180292.

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The study of prime numbers, pivotal in mathematics for centuries, holds significant importance in number theory and diverse applications like cryptography and computer science. This article introduces a novel approach, "High Order Anti Even Least Square," for approximating prime numbers below 1000. Integrating Least Square with specialized techniques tailored to complex prime number distributions, this method aims to enhance accuracy compared to traditional approaches. The research methodology involves polynomial approximation using both traditional and anti-even least squares methods, error c

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42

Meng, Qing Wu, and Lu Meng. "Comparing of Coordinate Transformation Based on Total Least Squares and Least Squares." Applied Mechanics and Materials 522-524 (February 2014): 1211–14. http://dx.doi.org/10.4028/www.scientific.net/amm.522-524.1211.

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The coordinate transformation models based on least square method and total least square are built and discussed. The least square model only includes the errors of observation vectors, the total least square model simultaneously takes into consideration to the errors of observation vectors and the errors of coefficient matrix. The both models are verified and compared in experiment. The experimental results showed that the model of total least square is more in line with actual, and more reasonable than by least square theoretically, and the coordinate transformation solution result of total

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43

Yoshikawa, Gaku, Shuhei Matsuzawa, Katsuhiro Hirata, and Fumikazu Miyasaka. "Meshless Method Based on Weighted Least Square Method for Electrohydrodynamic Problems." IEEE Transactions on Magnetics 51, no. 3 (2015): 1–4. http://dx.doi.org/10.1109/tmag.2014.2359961.

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44

KAJIHARA, Keiji, Akihide SAIMOTO, and Youhei SONOBE. "Thermal Stress, Body Force Method, Mesh-free Method, Moving Least Square." Proceedings of Conference of Kyushu Branch 2017.70 (2017): 704. http://dx.doi.org/10.1299/jsmekyushu.2017.70.704.

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45

Guo, Xiao Yun, Jing Shan Bo, Ping Li, and Yu Dong Zhang. "Least Square Method to Calibrate Seismic Design Response Spectrum." Advanced Materials Research 378-379 (October 2011): 358–61. http://dx.doi.org/10.4028/www.scientific.net/amr.378-379.358.

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Seismic design response spectrum is the basis of structure seismic design. Calibration of seismic design response spectrum is the main chain of structures’ seismic input determination. This paper proposes a new method of calibrating seismic design response spectrum. Based on summarizing the main form of calibrated seismic design response spectrum, which is related to the determination of the characteristic parameters of response spectrum, this paper advances least square fitting method based on coordinate transformation, and by comparing different calibrating methods, points out that least squ

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46

Li, Jia Lu, Lin Bing Long, and Bao Feng Zhang. "Localization of Mobile Robot Based on Least Square Method." Applied Mechanics and Materials 347-350 (August 2013): 808–11. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.808.

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Localization is the basis for navigation of mobile robots. This paper focuses on key techniques of localization for mobile robots based on vision. Firstly, the specific measures and steps of the algorithm are analyzed and researched in depth. In the study, SIFT algorithm combined with epipolar geometry constraint is used on the environment feature point detection, matching and tracking. And the method of RANSAC combined with the least squares is used to obtain accurate results of the motion estimation. Then the necessary experiments are carried out to verify the correctness and effectiveness o

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47

Mahmoud, Ahmed Mohammed, Loai S. Nasrat, and Abd Allah Ahmed Ibrahim. "Dielectric Properties of Polymer Blends Using Least Square Method." European Journal of Engineering Research and Science 2, no. 1 (2017): 1. http://dx.doi.org/10.24018/ejers.2017.2.1.207.

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Poly vinyl chloride (PVC) is widely used in high and medium voltage cables insulation due to its low dielectric losses and its ability to improve cables properties in high temperatures. This paper aims to improve PVC electrical properties (dielectric strength) for high voltage and medium voltage cables in respect of mechanical characteristics by adding ethylene propylene diene monomer (EPDM). Blends of PVC with EPDM were prepared with 0%, 20%, 35%, 50%, 65%, 80%, and 100% by weight percentages concentration. The dielectric strength of the blends was tested in several conditions such as dry, we

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48

Cheng, Yang, Han Sen, and Wu Quanying. "Method for calibrating interferogram based on weighted least square." Journal of Applied Optics 37, no. 3 (2016): 392–96. http://dx.doi.org/10.5768/jao201637.0302005.

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49

Samoilenko, Oleksandr, and Yurii Kuzmenko. "The measurements results adjustment by the Least Square Method." Measurements infrastructure 1 (May 20, 2021): 1–8. http://dx.doi.org/10.33955/v1(2021)-001.

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The method for processing of the measurement results obtained from Comite International des Poids et Measures (CIPM) Key, Regional Metrology Organizations (RMO) or supplementary comparisons, from the proficiency testing by interlaboratory comparisons and the calibrations is proposed. It is named by authors as adjustment by least square method (LSM). Additive and multiplicative parameters for each measuring standard of every particular laboratory will be the results of this adjustment. As well as the parameters for each artifact. The parameters of the measurements standards are their addi

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50

Spectorsky, Igor. "Recurrent least square method for estimation of varying parameters." System research and information technologies, no. 4 (December 22, 2021): 138–47. http://dx.doi.org/10.20535/srit.2308-8893.2021.4.11.

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In this paper, linear object yt=a1y1+...anyn+b1u1+...bmym+δ is considered. The aim is to estimate the object parameters with an assumption that they are changing linearly: ai=ai,0+ai,1t (i=1,2,...,n), bj=bj,0+bj,1t (j=1,2,...,m), δ=δ0+δ1t, parameters ai,0, ai,1 (i=1,2,...,n), bj,0, bj,1 (j=1,2,...,m), δ0, δ1 are assumed to be constants (almost constants during long time). For this object, the recursive least square (RLS) method is generalized. Provided examples show that the obtained RLS generalization gives higher precision (in comparison with the classical RLS method) for a case when paramet

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