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Every network synthesis procedure normally includes a first-order or (more rarely) secondorder network sensitivity analysis. The main problem here is the evaluation of the corresponding firstor second-order derivatives of network functions with respect to the circuit element values. These derivatives form the network Jacobian (J) and Hessian (H) matrices, respectively. A variety of methods exist for such an evaluation but most of them are intended for the sensitivity of one network transfer function only. Besides this in many cases it is desirable to find the symbolic expressions of the sensitivities because such a presentation facilitates the element value influence determination. An other useful and important application of the matrices J and H is in the tasks for optimization of synthesized networks with respect to their sensitivities or other parameters (Korn & Korn, 1968; Wilde,1978).

Symbolic Determination of Jacobian and Hessian Matrices and Sensitivities of Active Linear Networks by Using Chan-Mai Signal-Flow Graphs