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New inclusion sets for singular values
Jun He1, Yan-Min Liu1, Jun-Kang Tian1
1School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006 P.R. China.
Journal of Inequalities and Applications
|April 8, 2017
Abstract:
In this paper, for a given matrix [Formula: see text], in terms of [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text], some new inclusion sets for singular values of the matrix are established. It is proved that the new inclusion sets are tighter than the Geršgorin-type sets (Qi in Linear Algebra Appl. 56:105-119, 1984) and the Brauer-type sets (Li in Comput. Math. Appl. 37:9-15, 1999). A numerical experiment shows the efficiency of our new results.