This report provides the theoretical foundation to STAR program, a
linear network reduction software kit. Y-$\Delta$ transformation in s-domain
is the essential part of the reduction engine of the program. We have extended
it to handle current/voltage sources and K elements. Coming with it are node
ordering algorithm and some novel numerical stability control techniques. They
play an important role in the overall reduction flow by providing the
consistent accuracy in program outputs. [1] is dedicated to the applications to
the program.
Pre-2018 CSE ID: CS2002-0706
