Article ID Journal Published Year Pages File Type
4630626 Applied Mathematics and Computation 2011 4 Pages PDF
Abstract

In this study we mainly obtained upper and lower bounds for extreme singular values of an n × n   complex matrix. Moreover, as an application of this, we got bounds for extreme singular values of Hilbert and Cauchy–Hankel matrices as in the forms H=(1/(i+j-1))i,j=1n and Hn=[1/(g+(i+j)h)]i,j=1n, respectively. We note that the bounds obtained in this paper are more effective than the bounds presented in the paper [2, Theorem 2].

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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