Научная визуализация, 2025, том 17, номер 5, страницы 94 - 101, DOI: 10.26583/sv.17.5.10

Visualization of Complex Roots for Nonlinear Algebraic Equations

Автор: Mehmet Pakdemirli¹

Mechanical Engineering Department, Manisa Celal Bayar University, Manisa, Turkey

¹ ORCID: 0000-0003-1221-9387, pakdemirli@gmail.com

 

Аннотация

Visualization of complex roots of a nonlinear algebraic equation is discussed in this work. The method is based on calculating the modulus of the complex valued function and representing it as a surface in a three dimensional space where the axis consist of real and imaginary axis and the modulus function. Since it may be inconvenient to visualize multiple roots in a three dimensional surface, contour plot is suggested as an alternative to visualize better the location of roots. Roots of polynomial functions as well as non-polynomial functions are treated as examples. The contour plot is the best to visualize the complex roots in a single graph.

 

Ключевые слова: Complex Roots, Algebraic Equations, Three Dimensional Surfaces, Contour Plots.