This paper presents a PL-homotopy algorithm for zeroes of continuous self-mappings of the complex plane, proves the feasibility of the algorithm,establishes a sufficient condition for the computational convergence, an...This paper presents a PL-homotopy algorithm for zeroes of continuous self-mappings of the complex plane, proves the feasibility of the algorithm,establishes a sufficient condition for the computational convergence, and thereby sets up a result on the zero distribution of continuous functions. It provides a constructive approach to zero distribution problems.展开更多
基金This work is supported in part by the Foundation of Zhongshan University Advanced Research Centre Under Grant 87M1.
文摘This paper presents a PL-homotopy algorithm for zeroes of continuous self-mappings of the complex plane, proves the feasibility of the algorithm,establishes a sufficient condition for the computational convergence, and thereby sets up a result on the zero distribution of continuous functions. It provides a constructive approach to zero distribution problems.
