Geodesic
On generalized methods of the transfer of conditions
Applications of Mathematics, Tome 24 (1979) no. 3, pp. 184-198
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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.
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.
DOI : 10.21136/AM.1979.103795
Classification : 65F05, 65F30, 65F35, 65T40
Keywords: direct methods; band matrices; Gauss-Jordan elimination; numerical stability; algorithms; well conditioned systems; fast Fourier technique 
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Malina, Ľubor. On generalized methods of the transfer of conditions. Applications of Mathematics, Tome 24 (1979) no. 3, pp. 184-198. doi: 10.21136/AM.1979.103795

[1] Godunov S. K., Rjabenkij V. S.: Difference schemes. (Russian) Nauka, Moscow (1973).

[2] Malina Ľ.: General theory of direct methods for solving systems of equations with band matrices. (To appear in Aplikace matematiky). | Zbl

[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. | MR

[4] Taufer J.: Lösung der Randwertprobleme für Systeme von Linearen Differentialgleichungen. Rozpravy ČSAV, 83 (1973). | Zbl

[5] Hockney R. W.: A fast direct solution of Poisson's equation using Fourrier analysis. J. of Association for Computing Machinery, 12 (1965), 95-113. | DOI | MR

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