Geodesic
Poznámka ke kontrole řešení soustavy lineárních algebraických rovnic zpětnou substitucí
Applications of Mathematics, Tome 13 (1968) no. 3, pp. 241-247

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MR Zbl
This paper pays attention to the question, in which cases the verification of the solution of the linear system by the backward substitution can be regarded as the sufficient criterion to take the founded solution for aproximation of the exact solution. It is investigated, how great is the influence of ill conditioning of the matrix of the set on the failing of this criterion.
This paper pays attention to the question, in which cases the verification of the solution of the linear system by the backward substitution can be regarded as the sufficient criterion to take the founded solution for aproximation of the exact solution. It is investigated, how great is the influence of ill conditioning of the matrix of the set on the failing of this criterion.
DOI : 10.21136/AM.1968.103166
Classification : 65F35 
Zelinka, František. Poznámka ke kontrole řešení soustavy lineárních algebraických rovnic zpětnou substitucí. Applications of Mathematics, Tome 13 (1968) no. 3, pp. 241-247. doi: 10.21136/AM.1968.103166
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[1] Tupper: Ill conditioned linear equations. Math. Gaz., vol. XLII, 1958, str. 299 - 300. | DOI

[2] Демидович-Марон: Основы вычислительной математики. Москва 1963, Физматтиз. | Zbl

[3] Фаддеев-Фаддеева: Вычислительные методы линейной алгебры. Москва 1963, Физматгиз. | Zbl

[4] Neumann-Goldstine: Numerical inverting of matrices of high order. BAMS., 1947/2, November.

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