A special matrix equation and its application in Microelectronics

摘要

A special matrix equation is examined, which arises in designing electrical interconnections between microelectronic circuits and systems. The equation is first rewritten as a fixed point problem. A globally convergent iteration method is then proposed and monotone convergence is proved. A sufficient and necessary condition for the existence of the solution is presented. The solution can be used to minimize the reflection coefficients of the active signals.