Improving an estimate of the convergence rate of the seidel method by selecting the optimal order of equations in the system of linear algebraic equations
- Авторлар: Borzykh A.N.1
-
Мекемелер:
- St. Petersburg State University
- Шығарылым: Том 57, № 1 (2017)
- Беттер: 1-6
- Бөлім: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178849
- DOI: https://doi.org/10.1134/S0965542517010055
- ID: 178849
Дәйексөз келтіру
Аннотация
The Seidel method for solving a system of linear algebraic equations and an estimate of its convergence rate are considered. It is proposed to change the order of equations. It is shown that the method described in Faddeevs’ book Computational Methods of Linear Algebra can deteriorate the convergence rate estimate rather than improve it. An algorithm for establishing the optimal order of equations is proposed, and its validity is proved. It is shown that the computational complexity of the reordering is 2n2 additions and (12)n2 divisions. Numerical results for random matrices of order 100 are presented that confirm the proposed improvement.
Авторлар туралы
A. Borzykh
St. Petersburg State University
Хат алмасуға жауапты Автор.
Email: alex@borz.ru
Ресей, St. Petersburg, 199034
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