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Necessary and sufficient condition for uniqueness of solutions at certain nonlinear resistive networks
It is shown that the Jacobian determinant being nonzero for all values of its variables is both necessary and sufficient for the uniqueness of solutions of a wide class of networks. These networks may contain negative-resistance ...
Homeomorphic piecewise-linear resistive networks
Homeomorphism of matrix equations of the form f(x)=g(x)+Hx=y, where g is nondiagonal, is studied. It is shown that contrary to common belief, from a practical point of view, the condition that the Jacobian determinant is ...