Alternative network element sets

Several sets of network element values may result in identical coefficients in a network function. Some or all of the alternative element sets may be comprised of elements which are all real and positive and one or more of these may have desirable characteristics such as a smallest total capacitance or smallest spread of capacitor values. For n dynamical elements associated with a network having an order of complexity n, there may be up to n! alternative sets of values for these n elements each of which will provide the same network function coefficient set. Analytical and iterative procedures are described to find such alternative element sets. Examples are provided.