Pivoting algorithm in class of ABS methods

Gabriela Kálnová

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 3, page 167-180
  • ISSN: 0044-8753

Abstract

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Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.

How to cite

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Kálnová, Gabriela. "Pivoting algorithm in class of ABS methods." Archivum Mathematicum 032.3 (1996): 167-180. <http://eudml.org/doc/247857>.

@article{Kálnová1996,
abstract = {Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.},
author = {Kálnová, Gabriela},
journal = {Archivum Mathematicum},
keywords = {ABS methods; pivoting algorithm; Hankel matrix; linear equations; ABS methods; LU factorization; Rissanen algorithm; numerical examples; pivoting algorithm; direct methods; Abaffy-Broyden-Spedicato methods},
language = {eng},
number = {3},
pages = {167-180},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Pivoting algorithm in class of ABS methods},
url = {http://eudml.org/doc/247857},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Kálnová, Gabriela
TI - Pivoting algorithm in class of ABS methods
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 3
SP - 167
EP - 180
AB - Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.
LA - eng
KW - ABS methods; pivoting algorithm; Hankel matrix; linear equations; ABS methods; LU factorization; Rissanen algorithm; numerical examples; pivoting algorithm; direct methods; Abaffy-Broyden-Spedicato methods
UR - http://eudml.org/doc/247857
ER -

References

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  1. A class of direct methods for linear equations, Numer.Math. 45 (1984), 361–376. (1984) MR0769246
  2. ABS projection algorithms mathematical techniques for linear and nonlinear equations, Ellis Horwood, Chichester, 1989. (1989) MR1015928
  3. Numerical experiments with ABS algorithms on upper banded systems of linear equations, (1992), Quaderno DMSIA 17/92, University of Bergamo. (1992) 
  4. Numerical experiments with ABS algorithms on banded systems of linear equations, (1992), Quaderno DMSIA 18/92, University of Bergamo. (1992) 
  5. Numerical experiments with Gauss-ABS algorithms on tridiagonal systems of linear equations, (1992), Quaderno DMSIA 31/92, University of Bergamo. (1992) 
  6. Numerical evaluation of the implicit LU, LQ and QU algorithms in the ABS class, (1992), Quaderno DMSIA 28/90, University of Bergamo. (1992) 
  7. Experiments with the ABS implici t Gauss-Cholesky algorithm on nested dissection matrices, (1991), Technical Report 1/69, Roma. (1991) 
  8. Matrix computation, The Johns Hopkins University Press, Baltimore and London, 1989. (1989) 
  9. Solving sparse linear systems by an ABS-metho d that corresponds to LU-decomposition, BIT 28 (1988), 709–718. (1988) MR0963312
  10. Solution of linear equations with Hankel an d Toeplitz matrices, Numer.Math. 22 (1974), 361–366. (1974) MR0351057

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