Hyper-chaotic sequence least square method for solving nonlinear equations and its application

Aimed at the widespread practical significance of solving nonlinear equations in engineering, classic numerical methods such as Newton method are highly sensitive to the initial guess, but it is difficult to find a suitable good initial guess in practical operation problem, combining least square method with hyper-chaotic sequences, hyper-chaotic sequence least square method based on utilizing two dimensional discrete hyper-chaotic system to obtain locate initial points to find all real solutions of the nonlinear questions was proposed. Experimental results show the correctness and validity of the novel method.