Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix

Pavol Poliak; Mária Postulková; Romana Vyhnanská

Aplikace matematiky (1970)

  • Volume: 15, Issue: 4, page 227-234
  • ISSN: 0862-7940

Abstract

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Certain methods for the solution of system of linear algebraic equations with ill-conditioned system matrix are compared with the Gaussian method. The considered methods were modified for 3-diagonal systems.

How to cite

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Poliak, Pavol, Postulková, Mária, and Vyhnanská, Romana. "Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix." Aplikace matematiky 15.4 (1970): 227-234. <http://eudml.org/doc/14651>.

@article{Poliak1970,
abstract = {Certain methods for the solution of system of linear algebraic equations with ill-conditioned system matrix are compared with the Gaussian method. The considered methods were modified for 3-diagonal systems.},
author = {Poliak, Pavol, Postulková, Mária, Vyhnanská, Romana},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {4},
pages = {227-234},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix},
url = {http://eudml.org/doc/14651},
volume = {15},
year = {1970},
}

TY - JOUR
AU - Poliak, Pavol
AU - Postulková, Mária
AU - Vyhnanská, Romana
TI - Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix
JO - Aplikace matematiky
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 4
SP - 227
EP - 234
AB - Certain methods for the solution of system of linear algebraic equations with ill-conditioned system matrix are compared with the Gaussian method. The considered methods were modified for 3-diagonal systems.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14651
ER -

References

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  1. J. Gruska V. Chmurná M. Kasmanová P. Poliak M. Postulková R. Vyhnanská, Riešenie systémov lineárnych rovníc s pásovými maticami na samočinných počítačoch, Výskumná zpráva Z 24/65-66, ÚTK SAV, 1966. (1966) 
  2. M. П. Симою, Итеративный метод обращения матриц, Журнал вычислительной математики и физики, Том 5, 1965. (1965) Zbl1099.01519
  3. А. В. Буледза, О построении многошаговых итеративных процессов решения линейных операторных уравнений, Вестник Киевского Университета, серия математики и механики, 1961. (1961) Zbl1160.68305
  4. А. В. Буледза, О разностных методах решения краевых задач для дифференциальных уравнений эллиптического типа, Доклады и сообщения Ужгородского Университета, серия физ.-мат. и истор., наук, Том 1, 1965. (1965) Zbl1099.01519
  5. Zurmühl R., Matrizen und ihre technischen Anwendungen, Berlin 1961. (1961) Zbl0102.01401MR0135707

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