Relevant bibliographies by topics / Block tridiagonal matrix

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Academic literature on the topic 'Block tridiagonal matrix'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Block tridiagonal matrix"

1

Zgirouski, A. A., and N. A. Likhoded. "Modified method of parallel matrix sweep." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 4 (2020): 425–34. http://dx.doi.org/10.29235/1561-2430-2019-55-4-425-434.

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The topic of this paper refers to efficient parallel solvers of block-tridiagonal linear systems of equations. Such systems occur in numerous modeling problems and require usage of high-performance multicore computation systems. One of the widely used methods for solving block-tridiagonal linear systems in parallel is the original block-tridiagonal sweep method. We consider the algorithm based on the partitioning idea. Firstly, the initial matrix is split into parts and transformations are applied to each part independently to obtain equations of a reduced block-tridiagonal system. Secondly, t
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2

Kim, Sang Wook, and Jae Heon Yun. "Block ILU factorization preconditioners for a block-tridiagonal H-matrix." Linear Algebra and its Applications 317, no. 1-3 (2000): 103–25. http://dx.doi.org/10.1016/s0024-3795(00)00146-4.

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3

Dub, P., and O. Litzman. "The Darwin procedure in optics of layered media and the matrix theory." Acta Crystallographica Section A Foundations of Crystallography 55, no. 4 (1999): 613–20. http://dx.doi.org/10.1107/s010876739801513x.

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The Darwin dynamical theory of diffraction for two beams yields a nonhomogeneous system of linear algebraic equations with a tridiagonal matrix. It is shown that different formulae of the two-beam Darwin theory can be obtained by a uniform view of the basic properties of tridiagonal matrices, their determinants (continuants) and their close relationship to continued fractions and difference equations. Some remarks concerning the relation of the Darwin theory in the three-beam case to tridiagonal block matrices are also presented.
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4

Twig, Y., and R. Kastner. "Block tridiagonal matrix formulation for inhomogeneous penetrable cylinders." IEE Proceedings - Microwaves, Antennas and Propagation 144, no. 3 (1997): 184. http://dx.doi.org/10.1049/ip-map:19971152.

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5

Hirshman, S. P., K. S. Perumalla, V. E. Lynch, and R. Sanchez. "BCYCLIC: A parallel block tridiagonal matrix cyclic solver." Journal of Computational Physics 229, no. 18 (2010): 6392–404. http://dx.doi.org/10.1016/j.jcp.2010.04.049.

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6

Gündoğar, Zeynep, and Metin Demiralp. "Block tridiagonal matrix enhanced multivariance products representation (BTMEMPR)." Journal of Mathematical Chemistry 56, no. 3 (2017): 747–69. http://dx.doi.org/10.1007/s10910-017-0828-7.

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7

Petersen, Dan Erik, Hans Henrik B. Sørensen, Per Christian Hansen, Stig Skelboe, and Kurt Stokbro. "Block tridiagonal matrix inversion and fast transmission calculations." Journal of Computational Physics 227, no. 6 (2008): 3174–90. http://dx.doi.org/10.1016/j.jcp.2007.11.035.

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8

Brimkulov, Ulan. "Matrices whose inverses are tridiagonal, band or block-tridiagonal and their relationship with the covariance matrices of a random Markov process." Filomat 33, no. 5 (2019): 1335–52. http://dx.doi.org/10.2298/fil1905335b.

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The article discusses the matrices of the form A1n, Amn, AmN, whose inverses are: tridiagonal matrix A-1n (n - dimension of the A-mn matrix), banded matrix A-mn (m is the half-width band of the matrix) or block-tridiagonal matrix A-m N (N = n x m - full dimension of the block matrix; m - the dimension of the blocks) and their relationships with the covariance matrices of measurements with ordinary (simple) Markov Random Processes (MRP), multiconnected MRP and vector MRP, respectively. Such covariance matrices frequently occur in the problems of optimal filtering, extrapolation and interpolatio
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9

Yun, Jae Heon. "Block incomplete factorization preconditioners for a symmetric block-tridiagonal M-matrix." Journal of Computational and Applied Mathematics 94, no. 2 (1998): 133–52. http://dx.doi.org/10.1016/s0377-0427(98)00078-8.

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10

Dette, Holger, Bettina Reuther, W. J. Studden, and M. Zygmunt. "Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix." SIAM Journal on Matrix Analysis and Applications 29, no. 1 (2007): 117–42. http://dx.doi.org/10.1137/050638230.

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