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The inclusion of additional topics to the program of linear algebra course for economists and managers

Research Article
EDN: KCLGZE DOI: 10.31483/r-22217
Open Access
International academic journal «Development of education»
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Published in:
International academic journal «Development of education»
Author:
Sergej Y. Shashkin 1
Work direction:
Theoretical and applied research in education
Pages:
21-25
Received: 16 February 2019

Rating:
Article accesses:
4355
Published in:
doaj РИНЦ
1 Ural institute of Management ( branch) «Russian Presidental academy of national economy and public administration»
For citation:
Shashkin S. Y. (2019). The inclusion of additional topics to the program of linear algebra course for economists and managers. Development of education, 21-25. EDN: KCLGZE. https://doi.org/10.31483/r-22217
UDC 51

Abstract

The paper generalizes the concept of “solving a system of linear algebraic equations in order to formulate a unified approach to the analysis of incompatible, indefinite and unstable systems”. Examples of unstable systems of linear algebraic equations are considered, which solutions depend on small changes in the numerical coefficients in the equations. The reasons for the instability of linear systems and the regularization algorithm for finding the solution of any system of linear algebraic equations are discussed. As the author notes, the Tikhonov regulatory algorithm is the most popular and practically convenient for solving unstable SLAES.

References

  1. 1. Dougerti, K. (1999). Vvedenie v ekonometriku., 402. M.: Infra-M.
  2. 2. Forsait, D. M., & Mouler, M. (1980). Mashinnye metody matematicheskikh vychislenii., 280. M.: Mir.
  3. 3. Sholokhovich, F. A., & Vasin, V. V. (2003). Osnovy vysshei matematiki., 416. Ekaterinburg: Ural'skoe izd-vo.

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