A lower bound for the smallest singular value
نویسندگان
چکیده
منابع مشابه
A Lower Bound for the Smallest Singular Value
In this paper, we obtain a lower bound for the smallest singular value of nonsingular matrices which is better than the bound presented by Yu and Gu [Linear Algebra Appl. 252(1997)25-38]. Meanwhile, we give some numerical examples which will show the effectiveness of our result.
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We obtain lower tail estimates for the smallest singular value of random matrices with independent but non-identically distributed entries. Specifically, we consider n× n matrices with complex entries of the form M = A ◦X +B = (aijξij + bij) where X = (ξij) has iid centered entries of unit variance and A and B are fixed matrices. In our main result we obtain polynomial bounds on the smallest si...
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Utilizing the properties of the smallest singular value of a matrix, we propose a new, efficient and reliable algorithm for solving nonsymmetric matrix inverse eigenvalue problems, and compare it with a known method. We also present numerical experiments which illustrate our results.
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2012
ISSN: 1846-579X
DOI: 10.7153/jmi-06-60