General theory of numerical methods in complex analysis (potential theory, etc.), Newton's method, Numerical aspects of computer graphics, image analysis, and computational geometry, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computer graphics; computational geometry (digital and algorithmic aspects), roots of nonlinear equations, fractal pictures, regions of convergence, iterative methods, Julia sets, Numerical computation of solutions to single equations