Approximating roots of nonlinear systems by alpha-dense curves

摘要

We extend an algorithm due to Khamisov (Math. Notes 98(3/4), 484-491, 2015) to approximate, if any exists, a root of a single variable function. For this goal, using the so called alpha-dense curves, we transform a system of equations of several variables into a single variable equation. The feasibility and limitations of the proposed method are discussed.