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Journal articles on the topic 'Power matrix'

Author: Grafiati

Published: 4 September 2021

Last updated: 25 July 2025

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1

S. Kumara, K. K. W. A. "COMPUTING THE MATRIX POWERS OF MATRIX." International Journal of Advanced Research 9, no. 5 (2021): 681–83. http://dx.doi.org/10.21474/ijar01/12892.

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In this paper, considering fractional matrix power definition, we define matrix powers of matrixusing matrix exponential and matrix logarithm. Finally present a guide for computingthe matrix powers of matrix.

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2

Hamide, Dogan. "Matrix Power, Determinant and Polynomials." Journal of Progressive Research in Mathematics 5, no. 4 (2015): 601–5. https://doi.org/10.5281/zenodo.3977939.

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3

Hamide, Dogan. "Matrix Power, Determinant and Polynomials." Journal of Progressive Research in Mathematics 5, no. 4 (2015): 601–5. https://doi.org/10.5281/zenodo.3979583.

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4

Gil, José J. "Mueller Matrix Polarizing Power." Photonics 11, no. 5 (2024): 411. http://dx.doi.org/10.3390/photonics11050411.

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The transformation of the states of polarization of electromagnetic waves through their interaction with polarimetrically linear media can be represented by the associated Mueller matrices. A global measure of the ability of a linear medium to modify the states of polarization of incident waves, due to any combination of enpolarizing, depolarizing and retarding properties, is introduced as the distance from the Mueller matrix to the identity matrix. This new descriptor, called the polarizing power, is applicable to any Mueller matrix and can be expressed as a function of the degree of polarime

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5

HANAMOTO, T., H. YAMADA, S. TOOSI, N. F. MAILAH, and M. NORHISAM. "DDPWM-Based Power Conversion System Using a Matrix Converter for an Isolated Power Supply." Journal of the Japan Society of Applied Electromagnetics and Mechanics 23, no. 3 (2015): 573–78. http://dx.doi.org/10.14243/jsaem.23.573.

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6

Kovács, István. "Hofstede’s Power Distance Matrix: Law Enforcement Leadership Theory and Communication." Connections: The Quarterly Journal 21, no. 1 (2022): 61–72. http://dx.doi.org/10.11610/connections.21.1.04.

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7

Borwein, David, and Amnon Jakimovski. "Matrix transformations of power series." Proceedings of the American Mathematical Society 122, no. 2 (1994): 511. http://dx.doi.org/10.1090/s0002-9939-1994-1198451-0.

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8

Stanimirović, Stefan, Predrag Stanimirović, and Aleksandar Ilić. "Ballot matrix as Catalan matrix power and related identities." Discrete Applied Mathematics 160, no. 3 (2012): 344–51. http://dx.doi.org/10.1016/j.dam.2011.10.016.

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9

K. K. W. A. S. Kumara and G. Nandasena. "Identities of matrix powers of a matrix and matrix power of matrix on lie groups." World Journal of Advanced Engineering Technology and Sciences 11, no. 2 (2024): 624–27. http://dx.doi.org/10.30574/wjaets.2024.11.2.0150.

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This paper introduces fundamental definitions pertaining to Matrix Lie Groups and Lie Algebra. We illustrate the concepts of the exponential of a matrix and the logarithm of a matrix as integral components of our discourse. We introduce novel identities related to the matrix powers of a matrix. To prove these identities, we employ the results of the matrix powers of a matrix. Finally, we derive an expression for the matrix powers of a matrix within the context of a connected matrix lie group.

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10

HARRIS, W. F. "Relation between Meridional Power and the Dioptric Power Matrix." Optometry and Vision Science 69, no. 2 (1992): 159–61. http://dx.doi.org/10.1097/00006324-199202000-00010.

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11

Dinh, Trung Hoa, ‎Raluca Dumitru, and Jose A‎ ‎Franco. "The matrix power means and interpolations." Advances in Operator Theory 3, no. 3 (2018): 647–54. http://dx.doi.org/10.15352/aot.1801-1288.

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12

Dogan, Hamide, and Luis R. Suarez. "Matrix Power Computation Band Toeplitz Structure." International Journal of Computing Algorithm 6, no. 1 (2017): 55–58. http://dx.doi.org/10.20894/ijcoa.101.006.001.014.

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13

Kwapisz, M. "Classroom Note:The Power of a Matrix." SIAM Review 40, no. 3 (1998): 703–5. http://dx.doi.org/10.1137/s0036144596320740.

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14

Kian, Mohsen. "Some Inequalities for Matrix Power Means." Bulletin of the Iranian Mathematical Society 46, no. 4 (2019): 893–903. http://dx.doi.org/10.1007/s41980-019-00299-z.

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15

Enns, M. K., W. F. Tinney, and F. L. Alvarado. "Sparse matrix inverse factors (power systems)." IEEE Transactions on Power Systems 5, no. 2 (1990): 466–73. http://dx.doi.org/10.1109/59.54554.

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16

Mond, B., and J. E. Pečarić. "Generalized power means for matrix functions." Publicationes Mathematicae Debrecen 46, no. 1-2 (1995): 33–39. http://dx.doi.org/10.5486/pmd.1995.1481.

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17

Bickel, Kelly, Katherine Lunceford, and Naba Mukhtar. "Characterizations of A2 matrix power weights." Journal of Mathematical Analysis and Applications 453, no. 2 (2017): 985–99. http://dx.doi.org/10.1016/j.jmaa.2017.04.035.

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18

Orlov, Aleksandr I., Sergei V. Volkov, and Ilsur Kh Garipov. "CALCULATION OF POWER TRANSFORMER INDUCTANCE MATRIX." Vestnik Chuvashskogo universiteta, no. 4 (December 26, 2023): 120–29. http://dx.doi.org/10.47026/1810-1909-2023-4-120-129.

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Practical calculations of electric equipment and electric networks are performed using equivalent circuits. Without taking into account saturation phenomena, electromagnetic processes in a power transformer are described by a system of linear equations, which can be represented in matrix form. The transformer inductance matrix contains self and mutual winding inductances, whose values for one phase are determined directly from the passport data containing the results of no-load and short circuit experiments. Mutual inductances between phases depending on the type and size of the magnetic core

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19

Rahma, Ade Novia, Velyn Wulanda, Rahmawati Rahmawati, and Corry Corazon Marzuki. "Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method." KUBIK: Jurnal Publikasi Ilmiah Matematika 8, no. 2 (2023): 65–78. http://dx.doi.org/10.15575/kubik.v8i2.25517.

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The matrix RSLPFLcircfr is a particular form of the circular matrix RSLPFLcircfr . This study aims to determine the general form of the inverse matrix RSLPFLcircfr to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by deter

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20

TANAKA, Nobuo, and Yousuke UCHINO. "Acoustic Power Matrix and Power Mode of a Flexible Beam." Transactions of the Japan Society of Mechanical Engineers Series C 66, no. 648 (2000): 2576–82. http://dx.doi.org/10.1299/kikaic.66.2576.

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21

Dahiya, Surender, Dinesh Kumar Jain, Ashok Kumar, Ramesh Kumar Garg, and V. K. Gupta. "Power quality evaluation in deregulated power system using matrix method." International Journal of Global Energy Issues 28, no. 1 (2007): 1. http://dx.doi.org/10.1504/ijgei.2007.014921.

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22

Fitri, Aryani, Corazon Marzuki Corry, and Basriati Sri. "Trace of the Adjacency Matrix of the Cycle Graph to the Power of Six to Ten." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 11, no. 07 (2023): 3526–34. https://doi.org/10.5281/zenodo.8149363.

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The main aim of this research is to find the formula of the trace of adjacency matrix   from a cycle graph to the power of six to ten. The first step to obtain the general form is finding the general formula of adjacency matrix from a cycle graph to the power of six to ten. Furthermore, the formula of that trace of adjacency matrix obtained and proven by direct proof. We also present an implementation of the formula by an example.

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23

郑, 富全. "Calculating the Nth Power of a Matrix Using a Special Matrix." Pure Mathematics 15, no. 01 (2025): 111–19. https://doi.org/10.12677/pm.2025.151014.

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24

Yang, Jian, and Zheng Xu. "Power Flow Calculation Methods for Power Systems with Novel Structure UPFC." Applied Sciences 10, no. 15 (2020): 5121. http://dx.doi.org/10.3390/app10155121.

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Latest unified power flow controller (UPFC) projects adopt novel device structures to meet the requirements of practical applications. Developing power flow calculation methods for these new UPFC structures is of great significance for the design and operation of related projects. To address this issue, this paper deduces an equivalent model of the general structure UPFC, and presents the modified power mismatch equations and Jacobian matrix of the system. Then, three power flow calculation methods suitable for the novel structure UPFC are proposed based on the Newton–Raphson algorithm. The ma

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25

Wu, Shuang, Hengxin Lei, Tong Ming Lim, Tew Yiqi, and Wong Thein Lai. "A short-term wind power forecasting model based on CUR." Journal of Physics: Conference Series 2874, no. 1 (2024): 012003. http://dx.doi.org/10.1088/1742-6596/2874/1/012003.

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Abstract Wind power forecasting plays a crucial role in the contemporary renewable energy system. During the process of forecasting wind power, the establishment of LSTM models requires a lot of time and effort, and the interpretability of prediction results is poor, making it difficult to understand and verify the results. To accomplish interpretable and precise wind power predictions, this paper introduces a wind power prediction algorithm model leveraging CUR matrix decomposition. The CUR matrix decomposition method first obtains the original matrix A (wind power data matrix). The statistic

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26

Wang, Zhi Jie, San Ming Liu, Pan Xi, Ze Yang Pei, Xin Xia Su, and Li Juan Chen. "The Influence of Wind Power Grid to Power System Small Disturbance Stability Study." Advanced Materials Research 986-987 (July 2014): 606–10. http://dx.doi.org/10.4028/www.scientific.net/amr.986-987.606.

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Setting up a practical power system containing wind farm small disturbance stability mathematical model, and the linearized equation of wind turbines and original equations of linear system, power system containing wind turbines augmented state formation matrix, turn the inverse iteration with PSASP software Rayleigh (Rayleigh quotient iterative algorithm and sparse matrix technique for large state matrix eigenvalues. In this paper, the Inner Mongolia power grid, wind power access to power system oscillation mode and the influence of the oscillation characteristics and meet the requirements of

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27

Hong, Shaofang, K. P. Shum, and Qi Sun. "On Nonsingular Power LCM Matrices." Algebra Colloquium 13, no. 04 (2006): 689–704. http://dx.doi.org/10.1142/s1005386706000642.

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Let e ≥ 1 be an integer and S={x1,…,xn} a set of n distinct positive integers. The matrix ([xi, xj]e) having the power [xi, xj]e of the least common multiple of xi and xj as its (i, j)-entry is called the power least common multiple (LCM) matrix defined on S. The set S is called gcd-closed if (xi,xj) ∈ S for 1≤ i, j≤ n. Hong in 2004 showed that if the set S is gcd-closed such that every element of S has at most two distinct prime factors, then the power LCM matrix on S is nonsingular. In this paper, we use Hong's method developed in his previous papers to consider the next case. We prove that

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28

Zafar, Fiza, Alicia Cordero, Husna Maryam, and Juan R. Torregrosa. "A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations." Algorithms 17, no. 2 (2024): 86. http://dx.doi.org/10.3390/a17020086.

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Power flow problems can be solved in a variety of ways by using the Newton–Raphson approach. The nonlinear power flow equations depend upon voltages Vi and phase angle δ. An electrical power system is obtained by taking the partial derivatives of load flow equations which contain active and reactive powers. In this paper, we present an efficient seventh-order iterative scheme to obtain the solutions of nonlinear system of equations, with only three steps in its formulation. Then, we illustrate the computational cost for different operations such as matrix–matrix multiplication, matrix–vector m

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29

Paul, P. Jeno, I. Jacob Raglend, and T. Ruban Deva Praka. "Matrix Converter Power Quality Issues Compensation Using Unified Power Quality Conditioner." Journal of Engineering and Applied Sciences 6, no. 1 (2011): 96–103. http://dx.doi.org/10.3923/jeasci.2011.96.103.

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30

JenoPaul, P., T. Ruban Deva Prakash, and I. Jacob Raglend. "Power quality improvement for matrix converter using unified power quality conditioner." Transactions of the Institute of Measurement and Control 34, no. 5 (2011): 585–93. http://dx.doi.org/10.1177/0142331211409001.

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31

Shengbao, Li, and Zhao Feng. "Dynamic Matrix Based Thermal Power Tracking Control of Nuclear Power Reactor." Journal of Physics: Conference Series 1654 (October 2020): 012001. http://dx.doi.org/10.1088/1742-6596/1654/1/012001.

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32

Fan, Zhou Tian, and De Fu Liu. "On the power sequence of a fuzzy matrix convergent power sequence." Korean Journal of Computational & Applied Mathematics 4, no. 1 (1997): 147–65. http://dx.doi.org/10.1007/bf03011386.

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33

Nawata, Shinya, Atsuto Maki, and Takashi Hikihara. "Power packet transferability via symbol propagation matrix." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2213 (2018): 20170552. http://dx.doi.org/10.1098/rspa.2017.0552.

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A power packet is a unit of electric power composed of a power pulse and an information tag. In Shannon’s information theory, messages are represented by symbol sequences in a digitized manner. Referring to this formulation, we define symbols in power packetization as a minimum unit of power transferred by a tagged pulse. Here, power is digitized and quantized. In this paper, we consider packetized power in networks for a finite duration, giving symbols and their energies to the networks. A network structure is defined using a graph whose nodes represent routers, sources and destinations. Firs

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34

Killingbeck, J. P., T. Scott, and B. Rath. "A matrix method for power series potentials." Journal of Physics A: Mathematical and General 33, no. 39 (2000): 6999–7006. http://dx.doi.org/10.1088/0305-4470/33/39/314.

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35

Helton, J. William, Jiawang Nie, and Jeremy S. Semko. "Free semidefinite representation of matrix power functions." Linear Algebra and its Applications 465 (January 2015): 347–62. http://dx.doi.org/10.1016/j.laa.2014.09.038.

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36

Dehghani, Mahdi, Mohsen Kian, and Yuki Seo. "Matrix power means and the information monotonicity." Linear Algebra and its Applications 521 (May 2017): 57–69. http://dx.doi.org/10.1016/j.laa.2017.01.025.

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37

Gericke, D. O., M. Schlanges, and W. D. Kraeft. "T-matrix Approximation of the Stopping Power." Laser and Particle Beams 15, no. 4 (1997): 523–31. http://dx.doi.org/10.1017/s0263034600011101.

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An expression for the stopping power is derived in the quantum T-matrix approximation. The transport cross sections needed for a numerical evaluation are calculated using a scattering phase-shift analysis. Numerical results are given for the stopping power of an electron beam running into an electron gas. The temperature and density dependencies of the stopping power are discussed. Finally, dynamical screening is included in the weak coupling limit according to a kinetic equation proposed by H.A. Gould and H.E. DeWitt.

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38

Khosravi, Maryam. "Some matrix inequalities for weighted power mean." Annals of Functional Analysis 7, no. 2 (2016): 348–57. http://dx.doi.org/10.1215/20088752-3544480.

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39

Chen, William Y. C., and James D. Louck. "The combinatorial power of the companion matrix." Linear Algebra and its Applications 232 (January 1996): 261–78. http://dx.doi.org/10.1016/0024-3795(95)90163-9.

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40

Fu, Xiao, Nicholas D. Sidiropoulos, and Wing-Kin Ma. "Power Spectra Separation via Structured Matrix Factorization." IEEE Transactions on Signal Processing 64, no. 17 (2016): 4592–605. http://dx.doi.org/10.1109/tsp.2016.2560142.

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41

Mond, B., and J. E. Pečarić. "Generalized power means for matrix functions. II." Publicationes Mathematicae Debrecen 48, no. 3-4 (1996): 201–8. http://dx.doi.org/10.5486/pmd.1996.1543.

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42

Oliga, John C. "Power-ideology matrix in social systems control." Systems Practice 3, no. 1 (1990): 31–49. http://dx.doi.org/10.1007/bf01062820.

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43

Lim, Yongdo, and Miklós Pálfia. "Matrix power means and the Karcher mean." Journal of Functional Analysis 262, no. 4 (2012): 1498–514. http://dx.doi.org/10.1016/j.jfa.2011.11.012.

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44

Nasiruzzaman, A. B. M., and H. R. Pota. "Bus dependency matrix of electrical power systems." International Journal of Electrical Power & Energy Systems 56 (March 2014): 33–41. http://dx.doi.org/10.1016/j.ijepes.2013.10.031.

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45

Banta, Trudy W. "Editor's notes: The power of a matrix." Assessment Update 8, no. 4 (1996): 3–13. http://dx.doi.org/10.1002/au.3650080403.

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46

Abelman, H. "Converting principal meridional representation of power to the coordinates of the power matrix using the matrix similarity transform." Ophthalmic and Physiological Optics 26, no. 4 (2006): 426–30. http://dx.doi.org/10.1111/j.1475-1313.2006.00368.x.

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47

Cijsouw, Bastiaan, Susana Almeida de Graaff, and Jasper van Casteren. "Computing a Nodal Power Exchange Matrix based on a Nodal Reactance Matrix." Electric Power Systems Research 189 (December 2020): 106692. http://dx.doi.org/10.1016/j.epsr.2020.106692.

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48

Mamula, Dewinta, Novianita Achmad, and Resmawan Resmawan. "Matriks Circulant Kompleks Bentuk Khusus 3 × 3 Berpangkat Bilangan Bulat." Jurnal Matematika Integratif 17, no. 2 (2022): 109. http://dx.doi.org/10.24198/jmi.v17.n2.34441.109-118.

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This article identifies the general form of matrix power and trace of an integer power of Special Form of the 3 × 3 Complex Circulant matrix. The research begins to determine the general form of an integer power of Special Form of the 3 × 3 Complex Circulant matrix, followed by determining the general form trace of an integer power of Special Form of the 3 × 3 Complex Circulant matrix. The proof is done by using mathematical induction. The final result of this article is to obtain the general form of the matrix A^n and tr(A^n) for n integers in special form of the 3 × 3 complex Circulant matri

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49

Ma, Yuan. "Matrix filling-based power quality data restoration system for power internet of things." Journal of Combinatorial Mathematics and Combinatorial Computing 126 (May 20, 2025): 169–82. https://doi.org/10.61091/jcmcc126-10.

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In IoT-managed power systems, equipment or communication failures can result in missing or abnormal power quality data, making data restoration increasingly important. Traditional repair methods often struggle to capture complex data relationships and suffer from low accuracy. This paper proposes a power quality data restoration approach based on a low-rank matrix completion algorithm to enhance repair accuracy and efficiency. The system consists of three main steps: data preprocessing, matrix completion, and result validation. Z-score normalization is applied to raw data, and Singular Value D

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50

Kelarev, A. V., S. J. Quinn, and R. Smolíková. "Power graphs and semigroups of matrices." Bulletin of the Australian Mathematical Society 63, no. 2 (2001): 341–44. http://dx.doi.org/10.1017/s0004972700019390.

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Matrices provide essential tools in many branches of mathematics, and matrix semigroups have applications in various areas. In this paper we give a complete description of all infinite matrix semigroups satisfying a certain combinatorial property defined in terms of power graphs.

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