The Gauss Elimination from the Circuit Theory Point of View: Triangular Nodal Equivalent

The most used method utilized to solve an electric network is the nodal analysis. After obtaining the matrix equation it can be solved by using Gauss elimination (GE). This paper analyzes the GE from a circuit point of view. It results that GE represents a modification of the assigned circuit. Such a modification can be considered as a successive removal of independent nodes. The whole procedure can be systematically applied; in this way, given a circuit, it is possible to switch to a modified circuit, by means of circuit transformations corresponding to mathematical ones