A trace bound for integer-diagonal positive semidefinite matrices
Keyword(s):
AbstractWe prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n + r − 1.
Keyword(s):
2017 ◽
Vol 21
(4)
◽
pp. 552-564
◽
2009 ◽
Vol 430
(4)
◽
pp. 1151-1164
◽