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International Journal of Computer Mathematics Volume 79, 2002 - Issue 4
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Original Articles

A Parallel Elimination Method for "Periodic" Tridiagonal Systems

M.M. Chawla Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait
&
R.R. Khazal Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait
Pages 473-484 | Published online: 15 Sep 2010

Citations (12)

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Ji-Teng Jia & Tomohiro Sogabe. (2013) A novel algorithm and its parallelization for solving nearly penta-diagonal linear systems. International Journal of Computer Mathematics 90:2, pages 435-444.
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Articles from other publishers (11)

Ji-Teng Jia & Yi-Fan Wang. (2024) Numerical algorithms for the fast and reliable solution of periodic tridiagonal Toeplitz linear systems. Numerical Algorithms.
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Yaru Fu, Xiaoyu Jiang, Zhaolin Jiang & Seongtae Jhang. (2020) Properties of a class of perturbed Toeplitz periodic tridiagonal matrices. Computational and Applied Mathematics 39:3.
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Ji-Teng Jia. (2019) A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices. Numerical Algorithms 83:1, pages 149-163.
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Sumei Li & Jiteng Jia. (2018) A Cost-Efficient Numerical Algorithm for Evaluating the Determinant of a Quasi-Tridiagonal Matrix. A Cost-Efficient Numerical Algorithm for Evaluating the Determinant of a Quasi-Tridiagonal Matrix.
Tim Hopkins & Emrah Kılıç. (2018) An analytical approach: Explicit inverses of periodic tridiagonal matrices. Journal of Computational and Applied Mathematics 335, pages 207-226.
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Ji-Teng Jia & Qiong-Xiang Kong. (2014) A symbolic algorithm for periodic tridiagonal systems of equations. Journal of Mathematical Chemistry 52:8, pages 2222-2233.
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Xiao-Lin Lin & Ji-Teng Jia. 2010. Artificial Intelligence and Computational Intelligence. Artificial Intelligence and Computational Intelligence 201 208 .
M.A. El-Shehawey, Gh.A. El-Shreef & A.Sh. Al-Henawy. (2008) Analytical inversion of general periodic tridiagonal matrices. Journal of Mathematical Analysis and Applications 345:1, pages 123-134.
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Tomohiro Sogabe. (2008) New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems. Applied Mathematics and Computation 202:2, pages 850-856.
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A.A. Karawia. (2006) A computational algorithm for solving periodic penta-diagonal linear systems. Applied Mathematics and Computation 174:1, pages 613-618.
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M.E.A. El-Mikkawy. (2005) A new computational algorithm for solving periodic tri-diagonal linear systems. Applied Mathematics and Computation 161:2, pages 691-696.
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