An algorithm for the solution of certain tridiagonal systems of linear equations

The Computer Journal ◽

10.1093/comjnl/15.4.356 ◽

1972 ◽

Vol 15 (4) ◽

pp. 356-359 ◽

Author(s):

D. J. Evans

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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A fast parallel algorithm for solving block-tridiagonal systems of linear equations including the domain decomposition method

Parallel Computing ◽

10.1016/j.parco.2013.03.003 ◽

2013 ◽

Vol 39 (6-7) ◽

pp. 245-258 ◽

Author(s):

Andrew V. Terekhov

Keyword(s):

Domain Decomposition ◽

Parallel Algorithm ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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Explicit solution of block tridiagonal systems of linear equations

Information Processing Letters ◽

10.1016/0020-0190(87)90188-8 ◽

1987 ◽

Vol 24 (3) ◽

pp. 207-209 ◽

Author(s):

D.J. Evans ◽

W.S. Yousif

Keyword(s):

Explicit Solution ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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Arithmetic Processor for Solving Tridiagonal Systems of Linear Equations

2006 Fortieth Asilomar Conference on Signals, Systems and Computers ◽

10.1109/acssc.2006.354763 ◽

2006 ◽

Author(s):

Milos D. Ercegovac ◽

Jean-Michel Muller

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Arithmetic Processor ◽

Tridiagonal Systems

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A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.1961 ◽

2014 ◽

Vol 22 (2) ◽

pp. 371-392 ◽

Author(s):

Hakan Bağcı ◽

Joseph E. Pasciak ◽

Kostyantyn Y. Sirenko

Keyword(s):

Convergence Analysis ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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RETRACTED: New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.02.028 ◽

2019 ◽

Vol 78 (1) ◽

pp. 144-151 ◽

Author(s):

Jiteng Jia ◽

Sumei Li

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems ◽

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A new method for solving symmetric circulant tridiagonal systems of linear equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(90)90165-g ◽

1990 ◽

Vol 20 (12) ◽

pp. 61-67 ◽

Author(s):

O. Rojo

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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Retraction notice to “New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations” [Comput. Math. Appl. 78 (1) (2019) 144–151]

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.019 ◽

2020 ◽

Vol 80 (6) ◽

pp. 1744

Author(s):

Jiteng Jia ◽

Sumei Li

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Retraction Notice ◽

Tridiagonal Systems ◽

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Solving tridiagonal systems of linear equations on the IBM 3090 VF

Parallel Computing ◽

10.1016/0167-8191(88)90141-x ◽

1988 ◽

Vol 8 (1-3) ◽

pp. 371-376 ◽

Author(s):

Richard Reuter

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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A highly scalable parallel algorithm for solving Toeplitz tridiagonal systems of linear equations

Journal of Parallel and Distributed Computing ◽

10.1016/j.jpdc.2015.10.004 ◽

2016 ◽

Vol 87 ◽

pp. 102-108 ◽

Author(s):

Andrew V. Terekhov

Keyword(s):

Parallel Algorithm ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Tridiagonal Systems

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Reliable Solution of Tridiagonal Systems of Linear Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142998347991 ◽

2000 ◽

Vol 38 (4) ◽

pp. 1134-1153 ◽

Author(s):

Ilan Bar-On ◽

Mauro Leoncini

Keyword(s):

Linear Equations ◽

Systems Of Linear Equations ◽

Reliable Solution ◽

Tridiagonal Systems

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