The impedance parameter definitions for Z-matrices constitute a formalism within linear circuit theory that characterizes multi-port electrical networks using open-circuit voltage-to-current ratios at the ports. This framework relies strictly on matrix algebra and phasor notation to define network behavior independent of specific load or source conditions, establishing a rigorous mathematical link between port variables under defined boundary constraints. The concept serves as a foundational method in linear systems theory for analyzing passive and active networks, distinguishing itself from admittance (Y) or hybrid (H) representations through its exclusive dependence on open-circuit excitation states.
Prerequisite chain context: requires Reciprocity Condition via Symmetric Matrices.