Cyclic Reduction for Tridiagonal Systems of Equations with Interval Coefficients on Vector Computers

Hartmut Schwandt

doi:10.1137/0726039

Cyclic Reduction for Tridiagonal Systems of Equations with Interval Coefficients on Vector Computers

SIAM Journal on Numerical Analysis ◽

10.1137/0726039 ◽

1989 ◽

Vol 26 (3) ◽

pp. 661-680 ◽

Cited By ~ 8

Author(s):

Hartmut Schwandt

Keyword(s):

Systems Of Equations ◽

Cyclic Reduction ◽

Interval Coefficients ◽

Vector Computers ◽

Tridiagonal Systems

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Revisiting parallel cyclic reduction and parallel prefix-based algorithms for block tridiagonal systems of equations

Journal of Parallel and Distributed Computing ◽

10.1016/j.jpdc.2012.10.003 ◽

2013 ◽

Vol 73 (2) ◽

pp. 273-280 ◽

Cited By ~ 12

Author(s):

Sudip K. Seal ◽

Kalyan S. Perumalla ◽

Steven P. Hirshman

Keyword(s):

Systems Of Equations ◽

Cyclic Reduction ◽

Parallel Prefix ◽

Tridiagonal Systems

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A truncated cyclic reduction algorithm for interval arithmetic tridiagonal systems of equations

International Journal of Computer Mathematics ◽

10.1080/00207168708803564 ◽

1987 ◽

Vol 21 (2) ◽

pp. 161-184 ◽

Cited By ~ 1

Author(s):

Hartmut Schwandt

Keyword(s):

Interval Arithmetic ◽

Reduction Algorithm ◽

Systems Of Equations ◽

Cyclic Reduction ◽

Tridiagonal Systems

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Base-p-cyclic reduction for tridiagonal systems of equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(91)90046-3 ◽

1991 ◽

Vol 8 (2) ◽

pp. 117-125 ◽

Cited By ~ 7

Author(s):

Pieter P.N. de Groen

Keyword(s):

Systems Of Equations ◽

Cyclic Reduction ◽

Tridiagonal Systems

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Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0613053 ◽

1992 ◽

Vol 13 (3) ◽

pp. 863-886 ◽

Cited By ~ 29

Author(s):

S. Holmgren ◽

K. Otto

Keyword(s):

Iterative Solution ◽

Systems Of Equations ◽

Solution Methods ◽

Iterative Solution Methods ◽

Tridiagonal Systems

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A symbolic algorithm for periodic tridiagonal systems of equations

Journal of Mathematical Chemistry ◽

10.1007/s10910-014-0378-1 ◽

2014 ◽

Vol 52 (8) ◽

pp. 2222-2233 ◽

Cited By ~ 7

Author(s):

Ji-Teng Jia ◽

Qiong-Xiang Kong

Keyword(s):

Systems Of Equations ◽

Tridiagonal Systems ◽

Symbolic Algorithm

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Memory access problems in block cyclic reduction on vector computers

Parallel Computing ◽

10.1016/s0167-8191(05)80117-6 ◽

1991 ◽

Vol 17 (2-3) ◽

pp. 329-346

Author(s):

Hartmut Schwandt

Keyword(s):

Memory Access ◽

Cyclic Reduction ◽

Access Problems ◽

Vector Computers

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Iterative solution of block tridiagonal systems on parallel or vector computers

10.1145/800192.805804 ◽

1973 ◽

Author(s):

D. K. Stevenson ◽

J. F. Traub

Keyword(s):

Iterative Solution ◽

Vector Computers ◽

Tridiagonal Systems

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Iterative methods for systems of equations with interval coefficients and linear form

Computing ◽

10.1007/bf02240179 ◽

1987 ◽

Vol 38 (2) ◽

pp. 143-161 ◽

Cited By ~ 2

Author(s):

H. Schwandt

Keyword(s):

Iterative Methods ◽

Linear Form ◽

Systems Of Equations ◽

Interval Coefficients

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Newton-like interval methods for large nonlinear systems of equations on vector computers

Computer Physics Communications ◽

10.1016/0010-4655(85)90156-0 ◽

1985 ◽

Vol 37 (1-3) ◽

pp. 223-232 ◽

Cited By ~ 15

Author(s):

Hartmut Schwandt

Keyword(s):

Nonlinear Systems ◽

Interval Methods ◽

Systems Of Equations ◽

Nonlinear Systems Of Equations ◽

Vector Computers

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Interval arithmetic block cyclic reduction on vector computers

Journal of Parallel and Distributed Computing ◽

10.1016/0743-7315(87)90019-0 ◽

1987 ◽

Vol 4 (5) ◽

pp. 459-487 ◽

Cited By ~ 2

Author(s):

Hartmut Schwandt

Keyword(s):

Interval Arithmetic ◽

Cyclic Reduction ◽

Vector Computers

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