A graphical technique for nonlinear algebraic equations

Abstract

A graphical root-finding procedure is proposed for nonlinear algebraic equations. It employs two graphs of the zero-curves of the real and imaginary parts of the polynomial. It gives information on the approximate location for every root together with its multiplicity on the basis of the argument principle. Locally convergent iterative method for roots may enjoy this information for their implementation. Some numerical examples are shown with the graphs.

Keywords:

• Single nonlinear equation
• root-finding
• graphical processing

C.R. Categories::

• 5.15