Numerical Methods Using Java: For Data Science, Analysis, and Engineering

© Haksun Li, PhD 2022

H. Li, PhDNumerical Methods Using Javahttps://doi.org/10.1007/978-1-4842-6797-4_4

4. Finding Roots of System of Equations

Haksun Li, PhD¹  

(1)

Hong Kong, China

 

A root-finding algorithm for a system of multivariable equations can find the values of (x₁, x₂, …, x_n) such that the values of the of n equations in the system equal 0.

There can be no solution, one unique solution, or multiple solutions for the system. Systems of nonlinear equations can be solved numerically by Newton’s method that uses the first-order derivatives or the Jacobian, an extension of the Newton-Raphson method for single variable equation. The idea is also, ...