  In this note, we present an exact solution for the structured singular value
(SSV) of rank-one complex matrices with repeated complex full-block
uncertainty. A key step in the proof is the use of Von Neumman's trace
inequality. Previous works provided exact solutions for rank-one SSV when the
uncertainty contains repeated (real or complex) scalars and/or non-repeated
complex full-block uncertainties. Our result with repeated complex full-blocks
contains, as special cases, the previous results for repeated complex scalars
and/or non-repeated complex full-block uncertainties. The repeated complex
full-block uncertainty has recently gained attention in the context of
incompressible fluid flows. Specifically, it has been used to analyze the
effect of the convective nonlinearity in the incompressible Navier-Stokes
equation (NSE). SSV analysis with repeated full-block uncertainty has led to an
improved understanding of the underlying flow physics. We demonstrate our
method on a turbulent channel flow model as an example.
