  We provide a new numerical procedure for constructing low coherence matrices,
Trust-Region Stochastic Tuning for Matrix Incoherence (TRSTMI) and detail the
results of experiments with a CPU/GPU parallelized implementation of this
method. These trials suggest the superiority of this approach over other
existing methods when the size of the matrix is large. We also present new
conjectures on optimal complex matrices motivated and guided by the
experimental results.
