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Journal articles on the topic 'Two-dimensional matrix'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

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1

Murray, J. J. "Matrix two-dimensional spectral factorization." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 40, no. 8 (1993): 509–11. http://dx.doi.org/10.1109/82.242341.

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2

Rivest, Louis-Paul, and Sergio Ewane Ebouele. "Sampling a two dimensional matrix." Computational Statistics & Data Analysis 149 (September 2020): 106971. http://dx.doi.org/10.1016/j.csda.2020.106971.

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3

Yang, Zhengping, Wei-Ping Zhong, Milivoj Belić, and WenYe Zhong. "Two-dimensional matrix parabolic cylinder beams." Physics Letters A 412 (October 2021): 127557. http://dx.doi.org/10.1016/j.physleta.2021.127557.

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4

Benner, Peter, and Paul Van Dooren. "Periodic two-dimensional descriptor systems." Electronic Journal of Linear Algebra 39 (August 24, 2023): 472–90. http://dx.doi.org/10.13001/ela.2023.7989.

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In this note, we analyze the compatibility conditions of 2D descriptor systems with periodic coefficients and we derive a special coordinate system in which these conditions reduce to simple matrix commutativity conditions. We also show that the compatibility of the different trajectories in such a periodic 2D descriptor system can elegantly be formulated in terms of so-called matrix relations of regular pencils, which were introduced in [Benner and Byers. An arithmetic for matrix pencils: Theory and new algorithms. Numer. Math., 103(4):539-573, 2006]. We then show that these ideas can be exte

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5

Li, Hao, Changhe Zhou, Shaoqing Wang, Yancong Lu, and Xiansong Xiang. "Two-dimensional gold matrix method for encoding two-dimensional optical arbitrary positions." Optics Express 26, no. 10 (2018): 12742. http://dx.doi.org/10.1364/oe.26.012742.

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6

Hua, Y. "Estimating two-dimensional frequencies by matrix enhancement and matrix pencil." IEEE Transactions on Signal Processing 40, no. 9 (1992): 2267–80. http://dx.doi.org/10.1109/78.157226.

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7

Hughes†, M. C. "Invariant lines in two‐dimensional matrix geometry." International Journal of Mathematical Education in Science and Technology 18, no. 1 (1987): 67–72. http://dx.doi.org/10.1080/0020739870180110.

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8

Gomis, Jaume, and Anton Kapustin. "Two-Dimensional Unoriented Strings And Matrix Models." Journal of High Energy Physics 2004, no. 06 (2004): 002. http://dx.doi.org/10.1088/1126-6708/2004/06/002.

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9

Hawking, S. W. "Superscattering matrix for two-dimensional black holes." Physical Review D 50, no. 6 (1994): 3982–86. http://dx.doi.org/10.1103/physrevd.50.3982.

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10

Ishiki, Goro, Kazutoshi Ohta, Shinji Shimasaki, and Asato Tsuchiya. "Two-dimensional gauge theory and matrix model." Physics Letters B 672, no. 3 (2009): 289–93. http://dx.doi.org/10.1016/j.physletb.2009.01.038.

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11

Chen, Guihua, Hongcheng Huang, and Muying Wu. "Solitary vortices in two-dimensional waveguide matrix." Journal of Nonlinear Optical Physics & Materials 24, no. 01 (2015): 1550012. http://dx.doi.org/10.1142/s0218863515500125.

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We consider the nonlinear propagation of an optical beam in a two-dimensional waveguide matrix, which is described by the discrete nonlinear Schrödinger equation with a self-focusing nonlinearity. Our study focuses on the stability domain of the discrete vortex solitons with its topological invariant S equal to 1. Such domain is identified with the propagation constant k and the coupling constant C. Our simulations show that there is a critical value C cr for any fixed value of k. At C ≤ C cr , the stable domain is continuous. However, at C > C cr , the stable domain becomes discontinuous a

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12

Sergeev, S. M. "Two-Dimensional R-Matrices — Descendants of Three-Dimensional R-Matrices." Modern Physics Letters A 12, no. 19 (1997): 1393–410. http://dx.doi.org/10.1142/s0217732397001424.

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Finite layers of three-dimensional models can be regarded as two-dimensional with complicated multi-stated weights. The tetrahedron equation in 3D provides the Yang–Baxter equation for this composite weights in 2D. Such solutions of the Yang–Baxter equation are constructed for the simplest operator solution of the tetrahedron equation. These R-matrices can be regarded as a special projection of universal R-matrix for some Drinfeld double [Formula: see text], associated with the affine algebra [Formula: see text]. Usual R-matrix for [Formula: see text] is another projection of [Formula: see tex

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13

SUBRAMANIAN, K. G., KALPANA MAHALINGAM, ROSNI ABDULLAH, and ATULYA K. NAGAR. "TWO-DIMENSIONAL DIGITIZED PICTURE ARRAYS AND PARIKH MATRICES." International Journal of Foundations of Computer Science 24, no. 03 (2013): 393–408. http://dx.doi.org/10.1142/s012905411350010x.

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Parikh matrix mapping or Parikh matrix of a word has been introduced in the literature to count the scattered subwords in the word. Several properties of a Parikh matrix have been extensively investigated. A picture array is a two-dimensional connected digitized rectangular array consisting of a finite number of pixels with each pixel in a cell having a label from a finite alphabet. Here we extend the notion of Parikh matrix of a word to a picture array and associate with it two kinds of Parikh matrices, called row Parikh matrix and column Parikh matrix. Two picture arrays A and B are defined

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14

DEMETERFI, KREŠIMIR. "TWO-DIMENSIONAL QUANTUM GRAVITY, MATRIX MODELS AND STRING THEORY." International Journal of Modern Physics A 08, no. 07 (1993): 1185–244. http://dx.doi.org/10.1142/s0217751x93000497.

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We review some results of the recent progress in understanding two-dimensional quantum gravity and low-dimensional string theories based on the lattice approach. The possibility to solve the lattice models exactly comes from their equivalence to large N matrix models. We describe various matrix models and their continuum limits, and discuss in some detail the phase structure of Hermitian one-matrix models. For the one-dimensional matrix model we discuss its field theoretic formulation through a collective field method and summarize some perturbative results. We compare the results obtained fro

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15

Jung, Young Mee, Hyeon Suk Shin, Seung Bin Kim, and Isao Noda. "New Approach to Generalized Two-Dimensional Correlation Spectroscopy. 1: Combination of Principal Component Analysis and Two-Dimensional Correlation Spectroscopy." Applied Spectroscopy 56, no. 12 (2002): 1562–67. http://dx.doi.org/10.1366/000370202321116020.

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The direct combination of chemometrics and two-dimensional (2D) correlation spectroscopy is considered. The use of a reconstructed data matrix based on the significant scores and loading vectors obtained from the principal component analysis (PCA) of raw spectral data is proposed as a method to improve the data quality for 2D correlation analysis. The synthetic noisy spectra were analyzed to explore the novel possibility of the use of PCA-reconstructed spectra, which are highly noise suppressed. 2D correlation analysis of this reconstructed data matrix, instead of the raw data matrix, can sign

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16

Liang, Xing Zhu, Yu E. Lin, and Jing Zhao Li. "Two-Dimensional Orthogonal Unsupervised Discriminant Projection." Advanced Materials Research 542-543 (June 2012): 1343–46. http://dx.doi.org/10.4028/www.scientific.net/amr.542-543.1343.

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Unsupervised Discriminant Projection (UDP) is one of the most promising feature extraction methods. However, UDP suffers from the small sample size problem and the optimal basis vectors obtained by the UDP are nonorthogonal. In this paper, we present a new method called Two-dimensional Orthogonal Unsupervised Discriminant Projection (2DOUDP), which is not necessary to convert the image matrix into high-dimensional image vector and does not suffer the small sample size problem. To further improve the recognition performance, the orthogonal projection matrix obtained based on Gram–Schmidt orthog

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17

He, Jie, Da-zheng Feng, Hui Lü, and Cong Xiang. "Two-dimensional Adaptive Beamforming Based on Correlation Matrix." Journal of Electronics & Information Technology 32, no. 12 (2011): 2890–94. http://dx.doi.org/10.3724/sp.j.1146.2009.01500.

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18

Peng, Chong, Zhilu Zhang, Chenglizhao Chen, Zhao Kang, and Qiang Cheng. "Two-dimensional semi-nonnegative matrix factorization for clustering." Information Sciences 590 (April 2022): 106–41. http://dx.doi.org/10.1016/j.ins.2021.12.098.

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19

Chung, Ming-Chiang, and Ingo Peschel. "Density-matrix spectra for two-dimensional quantum systems." Physical Review B 62, no. 7 (2000): 4191–93. http://dx.doi.org/10.1103/physrevb.62.4191.

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20

Widom, M., D. P. Deng, and C. L. Henley. "Transfer-matrix analysis of a two-dimensional quasicrystal." Physical Review Letters 63, no. 3 (1989): 310–13. http://dx.doi.org/10.1103/physrevlett.63.310.

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21

Sun, Chuan, Yujia Huang, Qiang Shen, et al. "Embedding two-dimensional graphene array in ceramic matrix." Science Advances 6, no. 39 (2020): eabb1338. http://dx.doi.org/10.1126/sciadv.abb1338.

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Dispersing two-dimensional (2D) graphene sheets in 3D material matrix becomes a promising route to access the exceptional mechanical and electrical properties of individual graphene sheets in bulk quantities for macroscopic applications. However, this is highly restricted by the uncontrolled distribution and orientation of the graphene sheets in 3D structures as well as the weak graphene-matrix bonding and poor load transfer. Here, we propose a previously unreported avenue to embed ordered 2D graphene array into ceramics matrix, where the catastrophic fracture failure mode of brittle ceramics

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22

Sun, Baoguang, Congzhong Cai, and Balajee Seshasayee Venkatesh. "Matrix method for two-dimensional waveguide mode solution." Journal of Modern Optics 65, no. 8 (2017): 914–19. http://dx.doi.org/10.1080/09500340.2017.1414896.

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23

Fukuyama, Hidetoshi, and Yasumasa Hasegawa. "t-Matrix Approximation to Two-Dimensional Hubbard Model." Progress of Theoretical Physics Supplement 101 (1990): 441–52. http://dx.doi.org/10.1143/ptps.101.441.

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24

McGreevy, John, Sameer Murthy, and Herman Verlinde. "Two-dimensional superstrings and the supersymmetric matrix model." Journal of High Energy Physics 2004, no. 04 (2004): 015. http://dx.doi.org/10.1088/1126-6708/2004/04/015.

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25

Kostov, Ivan K., and Matthias Staudacher. "Two-dimensional chiral matrix models and string theories." Physics Letters B 394, no. 1-2 (1997): 75–81. http://dx.doi.org/10.1016/s0370-2693(96)01664-4.

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26

Kogan, Ian I., and Richard J. Szabo. "Matrix strings in two-dimensional Yang-Mills theory." Physics Letters B 404, no. 3-4 (1997): 276–84. http://dx.doi.org/10.1016/s0370-2693(97)00569-8.

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27

Yzelman, A. N., and Rob H. Bisseling. "Two-dimensional cache-oblivious sparse matrix–vector multiplication." Parallel Computing 37, no. 12 (2011): 806–19. http://dx.doi.org/10.1016/j.parco.2011.08.004.

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28

Moore, Gregory, M. Ronen Plesser, and Sanjaye Ramgoolam. "Exact S-matrix for two-dimensional string theory." Nuclear Physics B 377, no. 1-2 (1992): 143–90. http://dx.doi.org/10.1016/0550-3213(92)90020-c.

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29

AGUADO, MIGUEL. "MATRIX TECHNIQUES FOR TWO-DIMENSIONAL O(N) MODELS." International Journal of Modern Physics A 21, no. 11 (2006): 2297–320. http://dx.doi.org/10.1142/s0217751x0602550x.

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Recently developed matrix techniques, useful in the study of O (N) models on a two-dimensional lattice with different boundary conditions, are reviewed. Their application to perturbative problems is considered for illustration.

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30

Fukuyama, H., and Y. Hasegawa. "t-Matrix Approximation to Two-Dimensional Hubbard Model." Progress of Theoretical Physics Supplement 101 (May 16, 2013): 441–52. http://dx.doi.org/10.1143/ptp.101.441.

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31

Schmid, Hans Joachim. "Two-Dimensional Minimal Cubature Formulas and Matrix Equations." SIAM Journal on Matrix Analysis and Applications 16, no. 3 (1995): 898–921. http://dx.doi.org/10.1137/s0895479893252404.

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32

Conyuh, D. A., Y. M. Beltukov, and D. A. Parshin. "Boson peak in two-dimensional random matrix models." Journal of Physics: Conference Series 929 (November 2017): 012031. http://dx.doi.org/10.1088/1742-6596/929/1/012031.

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33

Chen, Guihua, Zhihong Huang, and Zhijie Mai. "Two-dimensional discrete Anderson location in waveguide matrix." Journal of Nonlinear Optical Physics & Materials 23, no. 03 (2014): 1450033. http://dx.doi.org/10.1142/s0218863514500337.

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Anderson location is an important wave phenomenon when the system contains disorder. Anderson location of light is a significant topic in optical science. Arrays of evanescently coupled waveguides made of nonlinear materials are the fundamental model of discrete nonlinear optics. Guided propagation of light in such arrays emulates electronic wave functions in fundamental periodic and disordered potentials of solid state physics. In this work, the Anderson location effect in a two-dimensional waveguide matrix is studied, and the influence of the nonlinearity on the localized effect induced by t

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34

Uygun, Sukran. "Two dimensional Gaussian Pell sequences." MATHEMATICA 65 (88), no. 1 (2023): 139–49. http://dx.doi.org/10.24193/mathcluj.2023.1.15.

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"In this study firstly we carried out the Pell sequence to the complex plane, then we defined the sequence into two dimensions. We called this generalized sequence two dimensional gaussian Pell sequence. We investigated the Binet formula, generating function, sum formula, explicit closed formula, and some relations between Pell sequences. Also, we get a matrix equality for obtaining elements of the two-dimensional gaussian Pell sequence. "

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35

Hua, Y., and F. Baqai. "Correction to "Estimating two-dimensional frequencies by matrix enhancement and matrix pencil"." IEEE Transactions on Signal Processing 42, no. 5 (1994): 1288. http://dx.doi.org/10.1109/78.295179.

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36

Wan, Minghua, Yuxi Zhang, Guowei Yang, and Hongjian Guo. "Two-Dimensional Exponential Sparse Discriminant Local Preserving Projections." Mathematics 11, no. 7 (2023): 1722. http://dx.doi.org/10.3390/math11071722.

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The two-dimensional discriminant locally preserved projections (2DDLPP) algorithm adds a between-class weighted matrix and a within-class weighted matrix into the objective function of the two-dimensional locally preserved projections (2DLPP) algorithm, which overcomes the disadvantage of 2DLPP, i.e., that it cannot use the discrimination information. However, the small sample size (SSS) problem still exists, and 2DDLPP processes the whole original image, which may contain a large amount of redundant information in the retained features. Therefore, we propose a new algorithm, two-dimensional e

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37

ZHELEZNYAK, A. L., and L. O. CHUA. "ESTIMATING THE DIMENSIONAL CHARACTERISTICS OF TWO-DIMENSIONAL PATTERNS." International Journal of Bifurcation and Chaos 05, no. 01 (1995): 109–21. http://dx.doi.org/10.1142/s0218127495000090.

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Dynamical properties of two-dimensional patterns generated by spatially extended systems can be described via the characteristics of attractors in the matrix phase space of the associated translation (or translational-evolution) dynamical systems. Questions regarding the possibility of estimating the fractal dimensions of two-dimensional patterns from the fractal dimensions of one-dimensional observables scanning the patterns along a chosen path are investigated. The presented proofs state that the generalized dimensions of the scanning observables are lower bounds for estimating the correspon

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38

Krivoruchko, V. N., and A. A. Shestakov. "Impurity states of a quasi-two-dimensional ferromagnet." Low Temperature Physics 19, no. 11 (1993): 869–71. https://doi.org/10.1063/10.0033533.

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The spectrum of impurity states of a quasi-two-dimensional ferromagnet is studied. The energies of s-, p-, d-, and f- states are determined as functions of the exchange interaction of an impurity atom with matrix atoms for various ratios of inter- and intralayer exchange interactions between matrix atoms. It is shown that, unlike in the three-dimensional case, local s1 and d-states can exist for a weakly coupled impurity.

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39

Stephenson, David. "Two-dimensional Two Contact Double Resonance Spectroscopy." Zeitschrift für Naturforschung A 55, no. 1-2 (2000): 79–82. http://dx.doi.org/10.1515/zna-2000-1-215.

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A two-dimensional spectroscopic technique is presented. Application of the technique to de-termine all the relaxation rates for a multi-level quadrupole system is discussed along with ex-perimental requirements. Theoretical and experimental data are analyzed for the 14N, three level, spin 1 system. The analysis shows that all three relaxation rates can be obtained from a single two-dimensional spectrum, and that only 3 peaks in the 3 x 3 two-dimensional intensity matrix are needed to completely specify the problem. The 4-level spin 3/2 system is also examined. In theory, all six relaxation rat

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40

Zhitao Xiao. "An Algorithm for Solving Three-dimensional Assignment Problem." Journal of Electrical Systems 20, no. 2 (2024): 226–33. http://dx.doi.org/10.52783/jes.1164.

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This article presents a algorithm for solving Three-dimensional assignment problem. Firstly, decompose the three-dimensional cubic matrix corresponding to the three-dimensional assignment problem into multiple two-dimensional planar matrices, and obtain that the assignment problems corresponding to these two-dimensional planar matrices have the same feasible solution as the original three-dimensional assignment problem. Then, the leading principal submatrix algorithm is used to solve each two-dimensional assignment problem. The characteristic of the leading principal submatrix algorithm is tha

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41

Wang, Kang, Zhong Ke Wu, and Jun Li Zhao. "Curve Correspondence in Two-Dimensional Space." Applied Mechanics and Materials 556-562 (May 2014): 4651–54. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.4651.

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Curve or contour correspondence has been extensively explored. Previous work was mainly concentrated on the rigid correspondence or alignment. This paper presents a spectral analysis method to resolve the problem of curves correspondence with non-rigid deformation. Using the embedding of original affinity matrix to the spectral domain, we can build the point correspondence of no-rigid deformation shapes.

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42

Kleban, Peter, and Ingo Perchel. "Fully-Finite Two-Dimensional Critical Systems: Casimir Terms and Instabilities." International Journal of Modern Physics B 11, no. 01n02 (1997): 133–39. http://dx.doi.org/10.1142/s0217979297000174.

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We review recent results for the universal part of the free energy of fully-finite two-dimensional regions at criticality. Their effect on the total free energy is considered. Including non-universal edge free energy terms leads to various Casimir instabilities toward elongation, sharp corners on the boundary, and other behavior. Universal features of certain matrix elements of the transfer matrix and corner transfer matrix are also obtained.

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43

Ming Yang, Chun, Neng-Yih Shin, Ming-Wei Weng, and Chang Hsien Hsu. "Using a Two-Dimensional Mean Value Matrix (TDMVM) to Improve Users’ Satisfaction with Government e-Recruitment Website." Journal of Software 10, no. 1 (2015): 82–93. http://dx.doi.org/10.17706/jsw.10.1.82-93.

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44

Gao, Cuifang, Junjie Li, Wanqiang Shen, and Ping Yin. "Two-dimensional dynamic time warping algorithm for matrices similarity." Intelligent Data Analysis 26, no. 4 (2022): 859–71. http://dx.doi.org/10.3233/ida-215908.

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Dynamic Time Warping (DTW algorithm) provides an effective method to obtain the similarity between unequal-sized signals. However, it cannot directly deal with high-dimensional samples such as matrices. Expanding a matrix to one dimensional vector as the input data of DTW will decrease the measure accuracy because of the losing of position information in the matrix. Aiming at this problem, a two-dimensional dynamic time warping algorithm (2D-DTW) is proposed in this paper to directly measure the similarity between matrices. In 2D-DTW algorithm, a three dimensional distance-cuboid is constructe

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45

Li Wei, Chen Jian-Guo, Feng Guo-Ying, et al. "M2 factor matrix for two-dimensional Hermite-Gaussian beam." Acta Physica Sinica 58, no. 4 (2009): 2461. http://dx.doi.org/10.7498/aps.58.2461.

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46

Aravena, J. L., and B. Banker. "Two-dimensional FlR filter design using matrix dilation approach." IEEE Transactions on Signal Processing 48, no. 7 (2000): 2074–82. http://dx.doi.org/10.1109/78.847791.

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47

Chuanqing Gu. "A practical two-dimensional thiele-type matrix pade approximation." IEEE Transactions on Automatic Control 48, no. 12 (2003): 2259–63. http://dx.doi.org/10.1109/tac.2003.820163.

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48

Havel, T. F., I. Najfeld, and J. X. Yang. "Matrix decompositions of two-dimensional nuclear magnetic resonance spectra." Proceedings of the National Academy of Sciences 91, no. 17 (1994): 7962–66. http://dx.doi.org/10.1073/pnas.91.17.7962.

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49

Boninsegni, Massimo. "Theoretical study of H2in a two-dimensional crystalline matrix." New Journal of Physics 7 (March 12, 2005): 78. http://dx.doi.org/10.1088/1367-2630/7/1/078.

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50

Henelius, Patrik. "Two-dimensional infinite-system density-matrix renormalization-group algorithm." Physical Review B 60, no. 13 (1999): 9561–65. http://dx.doi.org/10.1103/physrevb.60.9561.

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