Verified bounds for nonlinear systems via Hansen-Sengupta method

International Journal of Physical Sciences

Stephen Ehidiamhen Uwamusi¹ 

关键词: Nonlinear systems;    Hansen-Sengupta method;    Newton method;    circular complex arithmetic MSC (2000) 65G(20);    65G(30).;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

Efficient numerical validation of solution to nonlinear systems of equations using the Hansen-Sengupta method is the main focus of our studies. An extremely fast method due to (Uwamusi, 2007) is used to accelerate basic characteristic convergence of the method. This is not surprising because the midpoints and radii of the convergent interval vectors obtained are coupled sequence via the inclusion isotonicity of interval arithmetic which satisfied the filter net condition of a fixed point operator. We compare our results with those obtained using traditional real floating point of Newton method. The emphasis is on the rigor of the bounds.

【 授权许可】

CC BY