Probabilistic Estimation of Matrix Condition Number

被引：0
|
作者：
Antyufeev V.S. [1 ,2 ]
机构：
[1] Institute Numerical Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent’eva pr, Novosibirsk
[2] Novosibirsk State University, 1, Pirogova St, Novosibirsk
来源：
Journal of Mathematical Sciences | 2020年 / 246卷 / 6期
关键词：
D O I：
10.1007/s10958-020-04778-1
中图分类号：
学科分类号：
摘要：
We consider ill-conditioned matrices of systems of linear algebraic equations with random error of vector right-hand side. We study the condition number ν of the matrix of the system. We show that, under certain natural assumptions, the number ν can be considerably diminished. Bibliography: 3 titles. Illustrations: 3 figures. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：755 / 762
页数：7
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