The piecewise algebraic curve, as the set of zeros of a bivariate spline function, is a generalization of the classical algebraic curve. In this paper, an algorithm is presented to compute the real solutions of two piecewise algebraic curves. It is primarily based on the Krawczyk-Moore iterative algorithm and good initial iterative interval searching algorithm. The proposed algorithm is relatively easy to implement.
Jinming Wu. Xiaolei Zhang. "An Algorithm for Isolating the Real Solutions of Piecewise Algebraic Curves." J. Appl. Math. 2011 1 - 11, 2011. https://doi.org/10.1155/2011/658282