Revealing matrices of linear differential systems of arbitrary order
- Авторлар: Abramov S.1, Ryabenko A.1, Khmelnov D.1
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Мекемелер:
- Dorodnicyn Computing Center
- Шығарылым: Том 43, № 2 (2017)
- Беттер: 67-74
- Бөлім: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176484
- DOI: https://doi.org/10.1134/S0361768817020025
- ID: 176484
Дәйексөз келтіру
Аннотация
If the leading matrix of a linear differential system is nonsingular, then its determinant is known to bear useful information about solutions of the system. Of interest is also the frontal matrix. However, each of these matrices (we call them revealing matrices) may occur singular. In the paper, a brief survey of algorithms for transforming a system of full rank to a system with a nonsingular revealing matrix of a desired type is given. The same transformations can be used to check whether the rank of the original system is full. A Maple implementation of these algorithms (package EGRR) is discussed, and results of comparison of estimates of their complexity with actual operation times on a number of examples are presented.
Авторлар туралы
S. Abramov
Dorodnicyn Computing Center
Хат алмасуға жауапты Автор.
Email: sergeyabramov@mail.ru
Ресей, ul. Vavilova 40, Moscow, 119333
A. Ryabenko
Dorodnicyn Computing Center
Email: sergeyabramov@mail.ru
Ресей, ul. Vavilova 40, Moscow, 119333
D. Khmelnov
Dorodnicyn Computing Center
Email: sergeyabramov@mail.ru
Ресей, ul. Vavilova 40, Moscow, 119333