The block lower bounds for the smallest singular value

Author： Chuan-Long Wang   Shan-Jun Zhang  

Publisher： Taylor & Francis Ltd

ISSN： 0020-7160

Source： International Journal of Computer Mathematics, Vol.82, Iss.3, 2005-03, pp. : 313-319

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Abstract

In this article, we use block matrix technique to give further lower bounds for the smallest singular value of a general complex matrix. In addition, we prove that the smallest singular value of A is no less than that of the block comparison matrix of A under suitable conditions. Finally, some examples are given.

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