Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix
Applications of Mathematics, Tome 15 (1970) no. 4, pp. 227-234
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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.
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.
DOI : 10.21136/AM.1970.103291
Classification : 65-35
Keywords: numerical analysis
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Poliak, Pavol; Postulková, Mária; Vyhnanská, Romana. Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix. Applications of Mathematics, Tome 15 (1970) no. 4, pp. 227-234. doi: 10.21136/AM.1970.103291

[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.

[2] M. П. Симою: Итеративный метод обращения матриц. Журнал вычислительной математики и физики, Том 5, 1965. | Zbl

[3] А. В. Буледза: О построении многошаговых итеративных процессов решения линейных операторных уравнений. Вестник Киевского Университета, серия математики и механики, 1961. | Zbl

[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. | Zbl

[5] Zurmühl R.: Matrizen und ihre technischen Anwendungen. Berlin 1961. | MR

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