  Considering a multi-user interference network with an eavesdropper, this
paper aims at the power allocation to optimize the worst secrecy throughput
among the network links or the secure energy efficiency in terms of achieved
secrecy throughput per Joule under link security requirements. Three scenarios
for the access of channel state information are considered: the perfect channel
state information, partial channel state information with channels from the
transmitters to the eavesdropper exponentially distributed, and not perfectly
known channels between the transmitters and the users with exponentially
distributed errors. The paper develops various path-following procedures of low
complexity and rapid convergence for the optimal power allocation. Their
effectiveness and viability are illustrated through numerical examples. The
power allocation schemes are shown to achieve both high secrecy throughput and
energy efficiency.
