The Impedance Multiplication-Division Operators are made up of non-reciprocal network elements, each of which produces an input impedance that is related to the multiplication-division of its load impedances. The Impedance Multiplication-Division Operator can be implemented in a number of embodiments, such as the Positive Impedance Multiplication-Division Operator which produces a new non-reciprocal (n+1)-port, n.gtoreq.4, network element which has the distinguishing property that if three 2-terminal impedances, Z.sub.2(s), Z.sub.3(s), and Z.sub.4(s) are connected at ports 2, 3 and 4 of a .sub.1PIMDOR.sub.2,4.sup.3, the input impedance offered by this loaded 4-port at port 1 is Z.sub.(1)(s)=Z.sub.2.sup.-1(s)Z.sub.3(s)Z.sub.4.sup.-1(s).