Bounds for products of singular values of a matrix

Abstract

Given an order n complex matrix with singular values σ1(A)≥ σ2(A)≥· · · ≥ σn(A) > 0, in this paper some lower and upper bounds for Π_{i∈I} σ_i(A), I ⊂ {1, 2, . . . , n}, are shown. In particular some note lower bounds for the smallest singular value of A are improved.

Keywords

• bounds for singular values