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Journal articles on the topic 'Matrix extension'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Goh, Say Song, and Von Bing Yap. "Matrix extension and biorthogonal multiwavelet construction." Linear Algebra and its Applications 269, no. 1-3 (1998): 139–57. http://dx.doi.org/10.1016/s0024-3795(97)81514-5.

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2

Fritzsche, Bernd, and Bernd Kirstein. "A Schur Type Matrix Extension Problem." Mathematische Nachrichten 134, no. 1 (1987): 257–71. http://dx.doi.org/10.1002/mana.19871340118.

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3

Ma, X. R. "An extension of Warnaar’s matrix inversion." Proceedings of the American Mathematical Society 133, no. 11 (2005): 3179–89. http://dx.doi.org/10.1090/s0002-9939-05-07912-8.

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4

Tolokonnikov, Vadim. "Extension problem to an invertible matrix." Proceedings of the American Mathematical Society 117, no. 4 (1993): 1023. http://dx.doi.org/10.1090/s0002-9939-1993-1123668-x.

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5

Yuda, Asuka, and Christopher A. McCulloch. "A Screening System for Evaluating Cell Extension Formation, Collagen Compaction, and Degradation in Drug Discovery." SLAS DISCOVERY: Advancing the Science of Drug Discovery 23, no. 2 (2017): 132–43. http://dx.doi.org/10.1177/2472555217733421.

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The generation of cell extensions is critical for matrix remodeling in tissue invasion by cancer cells, but current methods for identifying molecules that regulate cell extension formation and matrix remodeling are not well adapted for screening purposes. We applied a grid-supported, floating collagen gel system (~100 Pa stiffness) to examine cell extension formation, collagen compaction, and collagen degradation in a single assay. With the use of cultured diploid fibroblasts, a fibroblast cell line, and two cancer cell lines, we found that compared with attached collagen gels (~2800 Pa), the

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6

Kim, Ik-Pyo. "LDU decomposition of an extension matrix of the Pascal matrix." Linear Algebra and its Applications 434, no. 10 (2011): 2187–96. http://dx.doi.org/10.1016/j.laa.2010.12.016.

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7

Minamide, Nariyasu. "An Extension of the Matrix Inversion Lemma." SIAM Journal on Algebraic Discrete Methods 6, no. 3 (1985): 371–77. http://dx.doi.org/10.1137/0606038.

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8

Fritzsche, B., and B. Kirstein. "A matrix extension problem with entropy optimization." Optimization 19, no. 1 (1988): 85–99. http://dx.doi.org/10.1080/02331938808843320.

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9

VARADHARAJAN, V., and R. ODONI. "EXTENSION OF RSA CRYPTOSYSTEMS TO MATRIX RINGS." Cryptologia 9, no. 2 (1985): 140–53. http://dx.doi.org/10.1080/0161-118591859852.

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10

Strikwerda, John C., and Bruce A. Wade. "An Extension of the Kreiss Matrix Theorem." SIAM Journal on Numerical Analysis 25, no. 6 (1988): 1272–78. http://dx.doi.org/10.1137/0725071.

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11

S.Dhenakaran, S., and M. Ilayaraja. "Extension of Playfair Cipher using 16X16 Matrix." International Journal of Computer Applications 48, no. 7 (2012): 37–41. http://dx.doi.org/10.5120/7363-0192.

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12

Fritzsche, Bernd, and Bernd Kirstein. "A Schur Type Matrix Extension Problem, II." Mathematische Nachrichten 138, no. 1 (1988): 195–216. http://dx.doi.org/10.1002/mana.19881380116.

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13

Fritzsche, Bernd, and Bernd Kirstein. "A Schur Type Matrix Extension Problem, III." Mathematische Nachrichten 143, no. 1 (1989): 227–47. http://dx.doi.org/10.1002/mana.19891430118.

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14

Fritzsche, Bernd, and Bernd Kirstein. "A Schur Type Matrix Extension Problem. IV." Mathematische Nachrichten 147, no. 1 (1990): 235–58. http://dx.doi.org/10.1002/mana.19901470124.

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15

Fritzsche, Bernd, Stefan Fuchs, and Bernd Kirstein. "A Schur Type Matrix Extension Problem. V." Mathematische Nachrichten 158, no. 1 (2006): 133–59. http://dx.doi.org/10.1002/mana.19921580110.

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16

Fritzsche, Bernd, Stefan Fuchs, and Bernd Kirstein. "A Schur Type Matrix Extension Problem. VI." Mathematische Nachrichten 159, no. 1 (1992): 101–38. http://dx.doi.org/10.1002/mana.19921590108.

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17

Dubovoj, Vladimir K., Bernd Fritzsche, Stefan Fuchs, and Bernd Kirstein. "A Schur Type Matrix Extension Problem. VII." Mathematische Nachrichten 160, no. 1 (1993): 111–47. http://dx.doi.org/10.1002/mana.3211600106.

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18

Benchiboun, M. D. "Extension of Henrici's method to matrix sequences." Journal of Computational and Applied Mathematics 75, no. 1 (1996): 1–21. http://dx.doi.org/10.1016/0377-0427(96)00031-3.

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19

Zheng, Junling, and Hanpeng Gao. "The extension dimension of triangular matrix algebras." Linear Algebra and its Applications 624 (September 2021): 44–52. http://dx.doi.org/10.1016/j.laa.2021.04.002.

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20

Størmer, Erling. "Extension of positive maps." MATHEMATICA SCANDINAVICA 126, no. 2 (2020): 256–58. http://dx.doi.org/10.7146/math.scand.a-115974.

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21

Sharma, Neil, Lauren Bambusch, Thu Le, Amit Morey, Melinda Hayman, and Sergio J. Montez. "InstantLabs®Salmonella Species Detection Method: Matrix Extension." Journal of AOAC INTERNATIONAL 97, no. 6 (2014): 1585–91. http://dx.doi.org/10.5740/jaoacint.13-223.

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Abstract The performance of InstantLabs®Salmonella Species Food Safety Kit to detect Salmonella in four food matrixes was validated against the International Organization for Standardization (ISO) reference method 6579:2002. The matrixes (raw ground beef, raw chicken breast, raw ground chicken, and lettuce) were inoculated with low levels of Salmonella (&lt;1 CFU/test portion) to generate fractional positives (5–15) in 20 inoculated samples. These matrixes were co-inoculated with Escherichia coli O157:H7 at two to five times the level of Salmonella. Samples were validated using 375 g (meat

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22

Aufderheide, Brian, and B. Wayne Bequette. "Extension of dynamic matrix control to multiple models." Computers & Chemical Engineering 27, no. 8-9 (2003): 1079–96. http://dx.doi.org/10.1016/s0098-1354(03)00038-3.

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23

Choudhury, Projesh Nath, and K. C. Sivakumar. "An extension of a matrix inequality of Thompson." Linear Algebra and its Applications 535 (December 2017): 151–59. http://dx.doi.org/10.1016/j.laa.2017.08.018.

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24

Tripathi, Gautam. "A matrix extension of the Cauchy-Schwarz inequality." Economics Letters 63, no. 1 (1999): 1–3. http://dx.doi.org/10.1016/s0165-1765(99)00014-2.

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25

Ji, Xiaofu, and Hongye Su. "An Extension of Petersen's Lemma on Matrix Uncertainty." IEEE Transactions on Automatic Control 61, no. 6 (2016): 1655–57. http://dx.doi.org/10.1109/tac.2015.2491658.

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26

Pálfia, Miklós. "A Multivariable Extension of Two-Variable Matrix Means." SIAM Journal on Matrix Analysis and Applications 32, no. 2 (2011): 385–93. http://dx.doi.org/10.1137/100797230.

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27

SATO, MATSUO. "EXTENSION OF IIB MATRIX MODEL BY THREE-ALGEBRA." International Journal of Modern Physics A 28, no. 18 (2013): 1350083. http://dx.doi.org/10.1142/s0217751x13500838.

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We construct a Lie 3-algebra extended model of the IIB matrix model. It admits any Lie 3-algebra and possesses the same supersymmetry as the original matrix model, and thus as type IIB superstring theory. We examine dynamics of the model by taking minimal Lie 3-algebra that includes u(N) Lie-algebra as an example. There are two phases in the minimally extended model at least classically. The extended action reduces to that of the IIB matrix model in one phase. In other phase, it reduces to a more simple action, which is rather easy to analyze.

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28

Lawton, W., S. L. Lee, and Zuowei Shen. "An algorithm for matrix extension and wavelet construction." Mathematics of Computation 65, no. 214 (1996): 723–38. http://dx.doi.org/10.1090/s0025-5718-96-00714-4.

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29

Selvadurai, A. P. S. "Matrix Crack Extension at a Frictionally Constrained Fiber." Journal of Engineering Materials and Technology 116, no. 3 (1994): 398–402. http://dx.doi.org/10.1115/1.2904304.

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The paper presents the application of a boundary element scheme to the study of the behavior of a penny-shaped matrix crack which occurs at an isolated fiber which is frictionally constrained. An incremental technique is used to examine the progression of self similar extension of the matrix crack due to the axial straining of the composite region. The extension of the crack occurs at the attainment of the critical stress intensity factor in the crack opening mode. Iterative techniques are used to determine the extent to crack enlargement and the occurrence of slip and locked regions in the fa

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30

Anderson, N., and D. Manley. "A matrix extension of Winograd's inner product algorithm." Theoretical Computer Science 131, no. 2 (1994): 475–77. http://dx.doi.org/10.1016/0304-3975(94)90186-4.

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31

Sato, M. "Four-algebraic extension of the IIB matrix model." Progress of Theoretical and Experimental Physics 2013, no. 7 (2013): 73B04–0. http://dx.doi.org/10.1093/ptep/ptt054.

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32

Verdier, Olivier. "Extension of matrix pencil reduction to abelian categories." Journal of Algebra and Its Applications 17, no. 04 (2018): 1850062. http://dx.doi.org/10.1142/s0219498818500627.

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Matrix pencils, or pairs of matrices, are used in a variety of applications. By the Kronecker decomposition theorem, they admit a normal form. This normal form consists of four parts, one part based on the Jordan canonical form, one part made of nilpotent matrices, and two other dual parts, which we call the observation and control part. The goal of this paper is to show that large portions of that decomposition are still valid for pairs of morphisms of modules or abelian groups, and more generally in any abelian category. In the vector space case, we recover the full Kronecker decomposition t

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33

Taşdelen, Fatma, Bayram Çeki̇m, and Rabi̇a Aktaş. "On a multivariable extension of Jacobi matrix polynomials." Computers & Mathematics with Applications 61, no. 9 (2011): 2412–23. http://dx.doi.org/10.1016/j.camwa.2011.02.019.

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34

Upadhyaya, Lalit Mohan, and Ayman Shehata. "A New Extension of Generalized Hermite Matrix Polynomials." Bulletin of the Malaysian Mathematical Sciences Society 38, no. 1 (2014): 165–79. http://dx.doi.org/10.1007/s40840-014-0010-3.

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35

da Fonseca, Carlos M. "A Short Note on the Determinant of a Sylvester–Kac Type Matrix." International Journal of Nonlinear Sciences and Numerical Simulation 21, no. 3-4 (2020): 361–62. http://dx.doi.org/10.1515/ijnsns-2018-0375.

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AbstractThe Sylvester–Kac matrix, also known as Clement matrix, has many extensions and applications. The evaluation of determinant and spectra of many of its generalizations sometimes are hard to compute. Recently, E. Kılıç and T. Arikan proposed an extension the Sylvester–Kac matrix, where the main diagonal is a 2-periodic sequence. They found its determinant using a spectral technique. In this short note, we provide a simple proof for that result by calculating directly the determinant.

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36

Selvadurai, A. P. S., and A. ten Busschen. "Mechanics of the Segmentation of an Embedded Fiber, Part II: Computational Modeling and Comparisons." Journal of Applied Mechanics 62, no. 1 (1995): 98–107. http://dx.doi.org/10.1115/1.2895889.

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A fragmentation test has been developed for the study of the influence of the adhesive characteristics of the interface between reinforcing fibers and the matrix on the development of matrix cracking at a cracked single fiber location. The present paper examines the numerical modeling of the crack extension process within the matrix region. The numerical modeling focuses on the application of boundary element techniques to the study of an axisymmetric fiber-matrix model and quasi-static crack extension criteria are employed to determine the path of crack extension. The result for the crack ext

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37

Birkenmeier, Gary F., Adnan Tercan, and Canan C. Yucel. "Projection invariant extending rings." Journal of Algebra and Its Applications 15, no. 07 (2016): 1650121. http://dx.doi.org/10.1142/s0219498816501218.

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A ring [Formula: see text] is said to be right [Formula: see text]-extending if every projection invariant right ideal of [Formula: see text] is essential in a direct summand of [Formula: see text]. In this article, we investigate the transfer of the [Formula: see text]-extending condition between a ring [Formula: see text] and its various ring extensions. More specifically, we characterize the right [Formula: see text]-extending generalized triangular matrix rings; and we show that if [Formula: see text] is [Formula: see text]-extending, then so is [Formula: see text] where [Formula: see text

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38

Hofert, Marius, and Johanna F. Ziegel. "Matrix-Tilted Archimedean Copulas." Risks 9, no. 4 (2021): 68. http://dx.doi.org/10.3390/risks9040068.

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The new class of matrix-tilted Archimedean copulas is introduced. It combines properties of Archimedean and elliptical copulas by introducing a tilting matrix in the stochastic representation of Archimedean copulas, similar to the Cholesky factor for elliptical copulas. Basic properties of this copula construction are discussed and a further extension outlined.

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39

Bourin, Jean-Christophe, and Eun-Young Lee. "Matrix inequalities from a two variables functional." International Journal of Mathematics 27, no. 09 (2016): 1650071. http://dx.doi.org/10.1142/s0129167x16500713.

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We introduce a two variables norm functional and establish its joint log-convexity. This entails and improves many remarkable matrix inequalities, most of them related to the log-majorization theorem of Araki. In particular: if[Formula: see text] is a positive semidefinite matrix and[Formula: see text] is a normal matrix,[Formula: see text] and[Formula: see text] is a subunital positive linear map, then[Formula: see text] is weakly log-majorized by[Formula: see text]. This far extension of Araki’s theorem (when [Formula: see text] is the identity and [Formula: see text] is positive) complement

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40

Smolin, Lee. "theory as a matrix extension of Chern–Simons theory." Nuclear Physics B 591, no. 1-2 (2000): 227–42. http://dx.doi.org/10.1016/s0550-3213(00)00564-2.

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41

Hughes, John, William O. Hancock, and John Fricks. "A matrix computational approach to kinesin neck linker extension." Journal of Theoretical Biology 269, no. 1 (2011): 181–94. http://dx.doi.org/10.1016/j.jtbi.2010.10.005.

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42

Landim, Flávia, and Dani Gamerman. "Dynamic hierarchical models: an extension to matrix-variate observations." Computational Statistics & Data Analysis 35, no. 1 (2000): 11–42. http://dx.doi.org/10.1016/s0167-9473(00)00004-9.

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43

Kingan, Arun, and Larry Zamick. "Matrix model of strength distribution: Extension and phase transition." International Journal of Modern Physics E 27, no. 10 (2018): 1850087. http://dx.doi.org/10.1142/s0218301318500878.

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In this work, we extend a previous study of matrix models of strength distributions. We still retain the nearest neighbor coupling mode but we extend the values of the coupling parameter [Formula: see text]. We consider extremes, from very small [Formula: see text] to very large [Formula: see text]. We first use the same transition operator as before [Formula: see text]. For this case, we get an exponential decrease for small [Formula: see text], as expected, but we get a phase transition beyond [Formula: see text]=10, where we get separate exponentials for even [Formula: see text] and for odd

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44

Zheng, Dao-Sheng. "Further Study and Generalization of Kahan’s Matrix Extension Theorem." SIAM Journal on Matrix Analysis and Applications 17, no. 3 (1996): 621–31. http://dx.doi.org/10.1137/0617037.

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45

Rossettos, J. N., and M. Shishesaz. "Stress Concentration in Fiber Composite Sheets Including Matrix Extension." Journal of Applied Mechanics 54, no. 3 (1987): 723–24. http://dx.doi.org/10.1115/1.3173096.

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46

Tanabe, K., K. Enami, and N. Yoshinaga. "Extension of Wick’s theorem for many-particle matrix elements." Physical Review C 59, no. 5 (1999): 2494–99. http://dx.doi.org/10.1103/physrevc.59.2494.

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47

Boyallian, Carina, and Jose I. Liberati. "The Central Extension Defining the Super Matrix Generalization ofW1+∞." Advances in Mathematical Physics 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/870613.

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48

Jenuwein, Thomas, William C. Forrester, Luis A. Fernández-Herrero, Götz Laible, Maude Dull, and Rudolf Grosschedl. "Extension of chromatin accessibility by nuclear matrix attachment regions." Nature 385, no. 6613 (1997): 269–72. http://dx.doi.org/10.1038/385269a0.

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49

Lucas, T. N. "Extension of matrix method for complete multipoint Padé approximation." Electronics Letters 29, no. 20 (1993): 1805. http://dx.doi.org/10.1049/el:19931201.

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50

Ronveaux, André, and Walter Van Assche. "Upward Extension of the Jacobi Matrix for Orthogonal Polynomials." Journal of Approximation Theory 86, no. 3 (1996): 335–57. http://dx.doi.org/10.1006/jath.1996.0074.

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