A Globally Convergent Interval Method for Computing and Bounding Multiple Roots of a Once Continuously Differentiable Function

被引：0
|
作者：
Bin Mohd, Ismail [1 ]
Dasril, Yosza [2 ]
机构：
[1] Univ Putra Malaysia, Lab Computat Stat & Operat Res, Inst Math Res, Serdang 43400, Selangor, Malaysia
[2] Univ Teknikal Malaysia Melaka UTeM, Fak Kejuruteraan Elekt & Kejuruteraan Komputer, Ctr Telecommun Res & Innovat, Melaka, Malaysia
来源：
4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019) | 2019年 / 2138卷
关键词：
D O I：
10.1063/1.5121035
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper showed how Newton's method can be extended to the several interval Newton methods for locating and bounding multiple and simple roots of a once continuously differentiable function in a given interval. Most of the discussion focused on the theoretical aspect and it had been supported by some numerical evidence. This paper proved that the proposed methods never fail to converge.
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页数：7
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