On generalized methods of the transfer of conditions

Ľubor Malina

Aplikace matematiky (1979)

  • Volume: 24, Issue: 3, page 184-198
  • ISSN: 0862-7940

Abstract

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The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.

How to cite

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Malina, Ľubor. "On generalized methods of the transfer of conditions." Aplikace matematiky 24.3 (1979): 184-198. <http://eudml.org/doc/15093>.

@article{Malina1979,
abstract = {The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.},
author = {Malina, Ľubor},
journal = {Aplikace matematiky},
keywords = {direct methods; band matrices; Gauss-Jordan elimination; numerical stability; algorithms; well conditioned systems; fast Fourier technique; direct methods; band matrices; Gauss-Jordan elimination; numerical stability; algorithms; well conditioned systems; fast Fourier technique},
language = {eng},
number = {3},
pages = {184-198},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On generalized methods of the transfer of conditions},
url = {http://eudml.org/doc/15093},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Malina, Ľubor
TI - On generalized methods of the transfer of conditions
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 3
SP - 184
EP - 198
AB - The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.
LA - eng
KW - direct methods; band matrices; Gauss-Jordan elimination; numerical stability; algorithms; well conditioned systems; fast Fourier technique; direct methods; band matrices; Gauss-Jordan elimination; numerical stability; algorithms; well conditioned systems; fast Fourier technique
UR - http://eudml.org/doc/15093
ER -

References

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  1. Godunov S. K., Rjabenkij V. S., Difference schemes, (Russian) Nauka, Moscow (1973). (1973) 
  2. Malina Ľ., General theory of direct methods for solving systems of equations with band matrices, (To appear in Aplikace matematiky). Zbl0443.65011
  3. Malina Ľ., Methods of the transfer of conditions and conditions of "well conditionedness", (Russian) In Numerical methods of linear algebra, ed. G. I. Marčuk, Novosibirsk (1977), 87-96. (1977) MR0555861
  4. Taufer J., Lösung der Randwertprobleme für Systeme von Linearen Differentialgleichungen, Rozpravy ČSAV, 83 (1973). (1973) Zbl0276.34009
  5. Hockney R. W., 10.1145/321250.321259, J. of Association for Computing Machinery, 12 (1965), 95-113. (1965) Zbl0139.10902MR0213048DOI10.1145/321250.321259

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