Affiliation:
1. School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
Abstract
In this paper, firstly, we discuss the following matrix completion problem
in the spectral norm: ?(A B B* X)?2 < 1 subject to (A B B* X) ? 0. The
feasible condition for the above problem is established, in this case, the
general positive semidefinite solution and its minimum rank are presented.
Secondly, applying the result of the above problem, we also study the matrix
approximation problem: ?A ? BXB*?2 < 1 subject to A ? BXB* ? 0, where A ?
Cm?m?, B ? Cm?n, and X ? Cn?n?.
Publisher
National Library of Serbia