Probabilistic Estimation of Matrix Condition Number

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Abstract

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.

Original languageEnglish
Pages (from-to)755-762
Number of pages8
JournalJournal of Mathematical Sciences (United States)
Volume246
Issue number6
DOIs
Publication statusPublished - 1 May 2020

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