# Pivoting algorithm in class of ABS methods

Archivum Mathematicum (1996)

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

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topKálnová, 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

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

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