On the number of solutions for a class of piecewise-linear equations related to transistor circuits
We show some results concerning the number of solutions of the equation y + Ax = b (y(T)x = 0, y greater than or equal to 0, x less than or equal to 0) which plays a central role in the de analysis of transistor circuits. In particular, we give sufficient conditions for the equation to possess exactly 2(l) (l less than or equal to n) solutions, where to is the dimension of the vector x.
number of solutions transistor circuit p-matrix m-matrix diagonally dominant matrix