Bounds for the relative change of singular values of a real matrix

Mohammedi R. Abdel‐Aziz · International Mathematical Forum · 2007

This paper amis to derive bounds for the relative change in the singular values of a real matrix. Both the full column rank and the full row rank cases are considered. Two numerical experiments show that the introduced bounds are confirmed and their values are dependent on the element-wise perturbation of the matrix.

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