Email this article A well-posed setting of the problem of solving systems of linear algebraic equations
- Authors: Tyrtyshnikov E.E.1,2
-
Affiliations:
- Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
- Moscow Center for Fundamental and Applied Mathematics
- Issue: Vol 213, No 10 (2022)
- Pages: 130-138
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/133475
- DOI: https://doi.org/10.4213/sm9706
- ID: 133475
Cite item
Open Access
Access granted
Subscription Access
Abstract
Tikhonov's setting of the problem of solving systems of linear algebraic equations that are equivalent in accuracy is investigated. The problem is shown to be well posed in this setting.Bibliography: 5 titles.
About the authors
Eugene Evgen'evich Tyrtyshnikov
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences; Moscow Center for Fundamental and Applied Mathematics
Email: tee@inm.ras.ru
Doctor of physico-mathematical sciences, Professor
References
- В. В. Васин, Основы теории некорректных задач, Изд-во СО РАН, Новосибирск, 2020, 312 с.
- С. И. Кабанихин, Обратные и некорректные задачи, Сиб. науч. изд-во, Новосибирск, 2009, 457 с.
- А. Н. Тихонов, В. Я. Арсенин, Методы решения некорректных задач, 2-е изд., испр. и доп., Наука, М., 1979, 286 с.
- А. Н. Тихонов, А. С. Леонов, А. Г. Ягола, Нелинейные некорректные задачи, 2-е изд., испр. и доп., КУРС, М., 2017, 400 с.
- А. Н. Тихонов, “О приближенных системах линейных алгебраических уравнений”, Ж. вычисл. матем. и матем. физ., 20:6 (1980), 1373–1383
Supplementary files
