New inclusion sets for singular values

نویسندگان

  • Jun He
  • Yan-Min Liu
  • Jun-Kang Tian
  • Ze-Rong Ren
چکیده

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.

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عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017