Using the mathematical program Maple to solve systems of linear algebraic equations by direct numerical methods.
Keywords:
systems of linear algebraic equations, numerical methods, direct methods, Maple.
Abstract
The paper considers the application of mathematical program Maple to solving systems of linear algebraic equations by direct numerical methods, such as Gaussian elimination, LU-factorization, Сholetsky, QR decomposition, tridiagonal matrix algorithm.
References
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Nikitenko O.M. (2014). Maple: Solving engineering and scientific problems: a training manual. Kharkiv: NURE, 289 p.
Mykhalevych, V. M. (2004). Educational and control Maple – a complex of higher mathematics. Information technology and computer engineering, No 1, pp. 74-78.
Vorobyova A.I., Kuriksha O.V. (2009) Symmetric analysis of partial differential equations using the Maple mathematical package. Scientific works of the Petro Mohyla Black Sea State University. Ser .: Computer Technologies, 106, vol. 93, pp. 75-79.
Andrunyk V.A., Vysotska V.A., Pasichnyk V.V., Chyrun L.B., Chyrun L.V. (2020). Numerical Methods in Computer Science: Textbook - Lviv: Vydavnytstvo «Novyy svit – 2000», 470 p.
Volontyr L.O., Zelinska O.V., Potapova N.A., Chikov I.A. (2020). Numerical methods: Textbook. - Vinnytsya: VNAU, 322 p.
Nikitenko O.M. (2014). Maple: Solving engineering and scientific problems: a training manual. Kharkiv: NURE, 289 p.
Mykhalevych, V. M. (2004). Educational and control Maple – a complex of higher mathematics. Information technology and computer engineering, No 1, pp. 74-78.
Vorobyova A.I., Kuriksha O.V. (2009) Symmetric analysis of partial differential equations using the Maple mathematical package. Scientific works of the Petro Mohyla Black Sea State University. Ser .: Computer Technologies, 106, vol. 93, pp. 75-79.
Andrunyk V.A., Vysotska V.A., Pasichnyk V.V., Chyrun L.B., Chyrun L.V. (2020). Numerical Methods in Computer Science: Textbook - Lviv: Vydavnytstvo «Novyy svit – 2000», 470 p.
Volontyr L.O., Zelinska O.V., Potapova N.A., Chikov I.A. (2020). Numerical methods: Textbook. - Vinnytsya: VNAU, 322 p.
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Published
2022-07-01
How to Cite
BrahinetsО., & Vorobyova А. (2022). Using the mathematical program Maple to solve systems of linear algebraic equations by direct numerical methods. COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (47), 55-63. https://doi.org/10.36910/6775-2524-0560-2022-47-08
Section
Computer science and computer engineering
