On generalized methods of the transfer of conditions
Aplikace matematiky (1979)
- Volume: 24, Issue: 3, page 184-198
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topMalina, 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
top- Godunov S. K., Rjabenkij V. S., Difference schemes, (Russian) Nauka, Moscow (1973). (1973)
- Malina Ľ., General theory of direct methods for solving systems of equations with band matrices, (To appear in Aplikace matematiky). Zbl0443.65011
- 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
- Taufer J., Lösung der Randwertprobleme für Systeme von Linearen Differentialgleichungen, Rozpravy ČSAV, 83 (1973). (1973) Zbl0276.34009
- Hockney R. W., 10.1145/321250.321259, J. of Association for Computing Machinery, 12 (1965), 95-113. (1965) MR0213048DOI10.1145/321250.321259
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.