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Journal articles on the topic 'Fixed-matrix'

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Published: 28 June 2021
Last updated: 9 February 2022

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1

Marcos, Fernando, and Edgar Pereira. "A fixed point method to compute solvents of matrix polynomials." Mathematica Bohemica 135, no. 4 (2010): 355–62. http://dx.doi.org/10.21136/mb.2010.140826.

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2

Belton, Alexander, Dominique Guillot, Apoorva Khare, and Mihai Putinar. "Matrix positivity preservers in fixed dimension." Comptes Rendus Mathematique 354, no. 2 (February 2016): 143–48. http://dx.doi.org/10.1016/j.crma.2015.11.006.

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3

Kang, Ming-chang. "Fixed fields of triangular matrix groups." Journal of Algebra 302, no. 2 (August 2006): 845–47. http://dx.doi.org/10.1016/j.jalgebra.2006.03.037.

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4

Livaditis, Gus J. "The matrix impression system for fixed prosthodontics." Journal of Prosthetic Dentistry 79, no. 2 (February 1998): 208–16. http://dx.doi.org/10.1016/s0022-3913(98)70217-3.

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5

Baragaña, Itziar, and Alicia Roca. "Fixed rank perturbations of regular matrix pencils." Linear Algebra and its Applications 589 (March 2020): 201–21. http://dx.doi.org/10.1016/j.laa.2019.12.022.

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6

Belton, Alexander, Dominique Guillot, Apoorva Khare, and Mihai Putinar. "Matrix positivity preservers in fixed dimension. I." Advances in Mathematics 298 (August 2016): 325–68. http://dx.doi.org/10.1016/j.aim.2016.04.016.

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7

Dmytryshyn, Andrii, and Froilán M. Dopico. "Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade." Linear Algebra and its Applications 536 (January 2018): 1–18. http://dx.doi.org/10.1016/j.laa.2017.09.006.

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8

Shanta, S., S. N. Kaul, V. Jayshree, K. K. Singh, and A. Juwarkar. "Studies related to support matrix for the fixed film fixed bed reactor." Journal of Environmental Science and Health . Part A: Environmental Science and Engineering and Toxicology 29, no. 1 (January 1994): 149–70. http://dx.doi.org/10.1080/10934529409376027.

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9

Filinov, V. S. "Analytical contradictions of the fixed-node density matrix." High Temperature 52, no. 5 (September 2014): 615–20. http://dx.doi.org/10.1134/s0018151x14040105.

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10

Krishnamoorthy, T. M., S. N. Joshi, G. R. Doshi, and R. N. Nair. "Desorption Kinetics of Radionuclides Fixed in Cement Matrix." Nuclear Technology 104, no. 3 (December 1993): 351–57. http://dx.doi.org/10.13182/nt93-a34896.

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11

Handelman, David. "Fixed Points of Two-Sided Fractional Matrix Transformations." Fixed Point Theory and Applications 2007 (2007): 1–70. http://dx.doi.org/10.1155/2007/41930.

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12

Yang, Zuyuan, Yifei Hu, Naiyao Liang, and Jun Lv. "Nonnegative Matrix Factorization with Fixed L2-Norm Constraint." Circuits, Systems, and Signal Processing 38, no. 7 (January 1, 2019): 3211–26. http://dx.doi.org/10.1007/s00034-018-1012-4.

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13

Weston, Mark. "A fixed-parameter tractable algorithm for matrix domination." Information Processing Letters 90, no. 5 (June 2004): 267–72. http://dx.doi.org/10.1016/j.ipl.2002.12.001.

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14

Ioannides, A. A., and R. S. Mackintosh. "S-Matrix to potential inversion at fixed energy." Nuclear Physics A 467, no. 3 (June 1987): 482–510. http://dx.doi.org/10.1016/0375-9474(87)90541-0.

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15

Youssef, Pierre. "Extracting a basis with fixed block inside a matrix." Linear Algebra and its Applications 469 (March 2015): 28–38. http://dx.doi.org/10.1016/j.laa.2014.11.016.

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16

Zhang, Rongmao, Liang Peng, and Ruodu Wang. "Tests for covariance matrix with fixed or divergent dimension." Annals of Statistics 41, no. 4 (August 2013): 2075–96. http://dx.doi.org/10.1214/13-aos1136.

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17

Maio, M., and A. N. Schellekens. "Formula for fixed point resolution matrix of permutation orbifolds." Nuclear Physics B 830, no. 1-2 (May 2010): 116–52. http://dx.doi.org/10.1016/j.nuclphysb.2009.12.022.

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18

Beginn, U., G. Zipp, and M. Möller. "Functional Membranes Containing Ion-Selective Matrix-Fixed Supramolecular Channels." Advanced Materials 12, no. 7 (April 2000): 510–13. http://dx.doi.org/10.1002/(sici)1521-4095(200004)12:7<510::aid-adma510>3.0.co;2-3.

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19

Zitelli, G. L. "Random matrix models for datasets with fixed time horizons." Quantitative Finance 20, no. 5 (January 22, 2020): 769–81. http://dx.doi.org/10.1080/14697688.2020.1711962.

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20

Mishra, Bamdev, Gilles Meyer, Silvère Bonnabel, and Rodolphe Sepulchre. "Fixed-rank matrix factorizations and Riemannian low-rank optimization." Computational Statistics 29, no. 3-4 (November 12, 2013): 591–621. http://dx.doi.org/10.1007/s00180-013-0464-z.

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21

Götze, Friedrich, and Mikhail Gordin. "Limit Correlation Functions for Fixed Trace Random Matrix Ensembles." Communications in Mathematical Physics 281, no. 1 (May 9, 2008): 203–29. http://dx.doi.org/10.1007/s00220-008-0484-7.

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22

Jingjing, Peng, Liao Anping, and Peng Zhenyun. "An iterative method to solve a nonlinear matrix equation." Electronic Journal of Linear Algebra 31 (February 5, 2016): 620–32. http://dx.doi.org/10.13001/1081-3810.2951.

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n this paper, an iterative method to solve one kind of nonlinear matrix equation is discussed. For each initial matrix with some conditions, the matrix sequences generated by the iterative method are shown to lie in a fixed open ball. The matrix sequences generated by the iterative method are shown to converge to the only solution of the nonlinear matrix equation in the fixed closed ball. In addition, the error estimate of the approximate solution in the fixed closed ball, and a numerical example to illustrate the convergence results are given.
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23

Chacha, Chacha S. "Elegant Iterative Methods for Solving a Nonlinear Matrix Equation X-A* eX A=I." Tanzania Journal of Science 47, no. 3 (August 14, 2021): 1033–40. http://dx.doi.org/10.4314/tjs.v47i3.14.

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The nonlinear matrix equation was solved by Gao (2016) via standard fixed point method. In this paper, three more elegant iterative methods are proposed to find the approximate solution of the nonlinear matrix equation namely: Newton’s method; modified fixed point method and a combination of Newton’s method and fixed point method. The convergence of Newton’s method and modified fixed point method are derived. Comparative numerical experimental results indicate that the new developed algorithms have both less computational time and good convergence properties when compared to their respective standard algorithms. Keywords: Hermitian positive definite solution; nonlinear matrix equation; modified fixed point method; iterative method
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24

Ding, J., and N. H. Rhee. "A Nontrivial Solution to a Stochastic Matrix Equation." East Asian Journal on Applied Mathematics 2, no. 4 (November 2012): 277–84. http://dx.doi.org/10.4208/eajam.150512.231012a.

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Abstract.If A is a nonsingular matrix such that its inverse is a stochastic matrix, the classic Brouwer fixed point theorem implies that the matrix equation AXA = XAX has a nontrivial solution. An explicit expression of this nontrivial solution is found via the mean ergodic theorem, and fixed point iteration is considered to find a nontrivial solution.
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25

Beltaos, Elaine. "Fixed points and D-branes." Publications de l'Institut Math?matique (Belgrade) 94, no. 108 (2013): 169–80. http://dx.doi.org/10.2298/pim1308169b.

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The affine Kac-Moody algebras give rise to rational conformal field theories (RCFTs) called the Wess-Zumino-Witten (WZW) models. An important component of an RCFT is its fusion ring, whose structure constants are given by the associated S-matrix. We apply a fixed point property possessed by the WZW models ("fixed point factorization") to calculate nonnegative integer matrix representations of the fusion ring, allowing for the calculation of D-brane charges in string theory.
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26

Dan, Nian Hua, Shi Wei Xiao, Yang Hu, and Wei Hua Dan. "Crosslinking Characteristics of an Genipin-Fixed Porcine Acellular Dermal Matrix." Applied Mechanics and Materials 217-219 (November 2012): 969–74. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.969.

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The determination of aldehyde in genipin(GP) was carried out through solution silver mirror reaction and curpous oxide reaction. Influence of various dosage, pH, temperature and reaction time on shrinkage temperature of GP-crosslinked porcine acellular dermal matrix (GP-pADM) were investigated. The cytotoxicity and cell morphology of GP-pADM were observed. The results reveal that the existence of aldehyde is proved by silver mirror reaction and curpous oxide reaction. With increasing dosage of GP, shrinkage temperature of pADM increase. And with increasing pH, temperature and time, shrinkage temperature exhibit an early ascending trend and then decline slightly. Cytotoxicity of GP-pADM is 0 grade with great morphology, cell L929 could adhesive grow on the surface and in the pore of this material. The implications of all this are that GP is an ideal biological crosslinking agent for biomaterials.
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27

Chen, Wei, Yanfang Mo, Li Qiu, and Pravin Varaiya. "Constrained (0,1)-matrix completion with a staircase of fixed zeros." Linear Algebra and its Applications 510 (December 2016): 171–85. http://dx.doi.org/10.1016/j.laa.2016.08.020.

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28

Ho, Ngoc-Diep, and Paul Van Dooren. "Non-negative matrix factorization with fixed row and column sums." Linear Algebra and its Applications 429, no. 5-6 (September 2008): 1020–25. http://dx.doi.org/10.1016/j.laa.2007.02.026.

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29

Milovanović, E. I., M. K. Stojc̆ev, N. M. Novaković, I. Z̆ Milovanović, and T. I. Tokić. "Matrix-vector multiplication on a fixed-size linear systolic array." Computers & Mathematics with Applications 40, no. 10-11 (November 2000): 1189–203. http://dx.doi.org/10.1016/s0898-1221(00)00231-5.

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30

Susilowati, Susilowati, Mansjur Nasir, Imam Mudjari, and Thalca Hamid. "Expression of matrix metalloproteinase-8 gene in fixed orthodontic patients." Dental Journal (Majalah Kedokteran Gigi) 44, no. 1 (March 1, 2011): 54. http://dx.doi.org/10.20473/j.djmkg.v44.i1.p54-58.

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31

Liu, Y. "Fixed rank solutions of the matrix equation with statistical applications." International Journal of Computer Mathematics 86, no. 4 (April 2009): 684–92. http://dx.doi.org/10.1080/00207160701690268.

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32

Cilingiroglu, U. "A purely capacitive synaptic matrix for fixed-weight neural networks." IEEE Transactions on Circuits and Systems 38, no. 2 (1991): 210–17. http://dx.doi.org/10.1109/31.68299.

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33

APPLEBOIM, ELI. "FINITE TYPE INVARIANTS OF LINKS WITH A FIXED LINKING MATRIX." Journal of Knot Theory and Its Ramifications 11, no. 07 (November 2002): 1017–41. http://dx.doi.org/10.1142/s0218216502002116.

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In this paper we introduce two theories of finite type invariants for framed links with a fixed linking matrix. We show that these theories are different from, but related to, the theory of Vassiliev invariants of knots and links. We will take special note of the case of zero linking matrix. i.e., zero-framed algebraically split links. We also study the corresponding spaces of "chord diagrams".
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34

Li, Chi-Kwong, Lucijan Plevnik, and Peter Šemrl. "Preservers of matrix pairs with a fixed inner product value." Operators and Matrices, no. 3 (2012): 433–64. http://dx.doi.org/10.7153/oam-06-29.

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35

Cirac, J. I., D. Pérez-García, N. Schuch, and F. Verstraete. "Matrix product density operators: Renormalization fixed points and boundary theories." Annals of Physics 378 (March 2017): 100–149. http://dx.doi.org/10.1016/j.aop.2016.12.030.

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36

Ko, Lok Shun, and Thomas M. Quinn. "Matrix Fixed Charge Density Modulates Exudate Concentration during Cartilage Compression." Biophysical Journal 104, no. 4 (February 2013): 943–50. http://dx.doi.org/10.1016/j.bpj.2012.12.036.

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37

Ma, Shiqian, Donald Goldfarb, and Lifeng Chen. "Fixed point and Bregman iterative methods for matrix rank minimization." Mathematical Programming 128, no. 1-2 (September 23, 2009): 321–53. http://dx.doi.org/10.1007/s10107-009-0306-5.

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38

Goldfarb, Donald, and Shiqian Ma. "Convergence of Fixed-Point Continuation Algorithms for Matrix Rank Minimization." Foundations of Computational Mathematics 11, no. 2 (February 1, 2011): 183–210. http://dx.doi.org/10.1007/s10208-011-9084-6.

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39

Bernal, A., J. Avendaño, R. Valencia-Torres, and J. García-Ravelo. "Adaptable transfer-matrix method for fixed-energy finite-width beams." Physica Scripta 96, no. 3 (January 22, 2021): 035220. http://dx.doi.org/10.1088/1402-4896/abdb55.

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40

Rawat, Kuldeep, Avinash Singh, Krishna Sati, Manish Kumar, Ashish Negi, and Kuldeep Panwar. "CFD analysis of fixed matrix with glass refractory particle regenerator." Materials Today: Proceedings 46 (2021): 6871–75. http://dx.doi.org/10.1016/j.matpr.2021.04.450.

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41

Fang, Xi-Ming. "General fixed-point method for solving the linear complementarity problem." AIMS Mathematics 6, no. 11 (2021): 11904–20. http://dx.doi.org/10.3934/math.2021691.

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<abstract><p>In this paper, we consider numerical methods for the linear complementarity problem (LCP). By introducing a positive diagonal parameter matrix, the LCP is transformed into an equivalent fixed-point equation and the equivalence is proved. Based on such equation, the general fixed-point (GFP) method with two cases are proposed and analyzed when the system matrix is a $ P $-matrix. In addition, we provide several concrete sufficient conditions for the proposed method when the system matrix is a symmetric positive definite matrix or an $ H_{+} $-matrix. Meanwhile, we discuss the optimal case for the proposed method. The numerical experiments show that the GFP method is effective and practical.</p></abstract>
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42

Wang, Feng, Liren Liu, and Yaozu Yin. "Optical matrix-matrix multiplication by the use of fixed holographic multi-gratings in a photorefractive crystal." Optics Communications 125, no. 1-3 (April 1996): 21–26. http://dx.doi.org/10.1016/0030-4018(96)00747-x.

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43

Akyar, Handan, and Emrah Akyar. "A Graphical Method for Solving Interval Matrix Games." Abstract and Applied Analysis 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/260490.

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or interval matrix games are considered, and a graphical method for solving such games is given. Interval matrix game is the interval generation of classical matrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the payoffs may vary within a range for fixed strategies, an interval-valued matrix can be used to model such uncertainties. In the literature, there are different approaches for the comparison of fuzzy numbers and interval numbers. In this work, the idea of acceptability index is used which is suggested by Sengupta et al. (2001) and Sengupta and Pal (2009), and in view of acceptability index, well-known graphical method for matrix games is adapted to interval matrix games.
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44

SHAPIRO, B. "THREE GENERALIZED MATRIX ENSEMBLES: A REVIEW." International Journal of Modern Physics B 10, no. 26 (November 30, 1996): 3539–47. http://dx.doi.org/10.1142/s0217979296001896.

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The standard Gaussian matrix ensembles are known for their robustness, in the sense that their level statistics is representative of a large class of matrix models. It is possible, however, to define generalized ensembles which are able to “escape” the Gaussian fixed point and to exhibit statistics radically different from the Wigner-Dyson statistics of the standard ensembles. Such generalized ensembles contain a parameter which is allowed to change with the matrix size N. Depending on the rate of change, one obtains three distinct limiting statistics: the Wigner-Dyson statistics, the Poisson statistics of uncorrelated levels or a new intermediate statistics (the “non-trivial” fixed point). The present review discusses three examples of such generalized ensembles.
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45

Ydri, Badis, Rachid Ahmim, and Adel Bouchareb. "Wilson RG of noncommutative Φ44." International Journal of Modern Physics A 30, no. 33 (November 26, 2015): 1550195. http://dx.doi.org/10.1142/s0217751x1550195x.

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We present a study of phi-four theory on noncommutative spaces using a combination of the Wilson renormalization group recursion formula and the solution to the zero dimensional vector/matrix models at large N. Three fixed points are identified. The matrix model [Formula: see text] fixed point which describes the disordered-to-nonuniform-ordered transition. The Wilson–Fisher fixed point at [Formula: see text] which describes the disordered-to-uniform-ordered transition, and a noncommutative Wilson–Fisher fixed point at a maximum value of [Formula: see text] which is associated with the transition between nonuniform-order and uniform-order phases.
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46

Gao, Dongjie. "Existence and Uniqueness of the Positive Definite Solution for the Matrix EquationX=Q+A∗(X^−C)−1A." Abstract and Applied Analysis 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/216035.

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We consider the nonlinear matrix equationX=Q+A∗(X^−C)−1A, whereQis positive definite,Cis positive semidefinite, andX^is the block diagonal matrix defined byX^=diag(X,X,…,X). We prove that the equation has a unique positive definite solution via variable replacement and fixed point theorem. The basic fixed point iteration for the equation is given.
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47

Li Suozhu, 李锁柱, 朱永伟 Zhu Yongwei, 李军 Li Jun, 樊吉龙 Fan Jilong, and 叶剑锋 Ye Jianfeng. "Study on Matrix Properties and Machining Performance of Fixed-Abrasive Pad." Laser & Optoelectronics Progress 48, no. 1 (2011): 012201. http://dx.doi.org/10.3788/lop48.012201.

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48

Remillard, Gilbert, and James M. Clark. "Generating fixed-length sequences satisfying any givennth-order transition probability matrix." Behavior Research Methods, Instruments, & Computers 31, no. 2 (June 1999): 235–43. http://dx.doi.org/10.3758/bf03207715.

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49

Martínez-Frutos, Jesús, and David Herrero-Pérez. "Efficient matrix-free GPU implementation of Fixed Grid Finite Element Analysis." Finite Elements in Analysis and Design 104 (October 2015): 61–71. http://dx.doi.org/10.1016/j.finel.2015.06.005.

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50

Bester, C. Alan, Timothy G. Conley, Christian B. Hansen, and Timothy J. Vogelsang. "FIXED-b ASYMPTOTICS FOR SPATIALLY DEPENDENT ROBUST NONPARAMETRIC COVARIANCE MATRIX ESTIMATORS." Econometric Theory 32, no. 1 (November 19, 2014): 154–86. http://dx.doi.org/10.1017/s0266466614000814.

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This paper develops a method for performing inference using spatially dependent data. We consider test statistics formed using nonparametric covariance matrix estimators that account for heteroskedasticity and spatial correlation (spatial HAC). We provide distributions of commonly used test statistics under “fixed-b” asymptotics, in which HAC smoothing parameters are proportional to the sample size. Under this sequence, spatial HAC estimators are not consistent but converge to nondegenerate limiting random variables that depend on the HAC smoothing parameters, the HAC kernel, and the shape of the spatial region in which the data are located. We illustrate the performance of the “fixed-b” approximation in the spatial context through a simulation example.
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