Midpoint Newton's Method for Simple and Multiple Roots

Muhammad, Imran

dc.contributor.author	Muhammad, Imran
dc.date.accessioned	2017-11-14T02:41:46Z
dc.date.available	2017-11-14T02:41:46Z
dc.date.issued	2017-11-14
dc.identifier.other	wahyu sari yeni
dc.identifier.uri	http://repository.unri.ac.id:8080/xmlui/handle/123456789/9055
dc.description.abstract	In this paper we propose a new modification of Newton's method based on midpoint rule for solving nonlinear equations. Analysis of convergence shows that the new method is cubically convergent for a simple root and linearly for multiple roots. The method requires one function evaluation and two of its first derivative, but no evaluations of its second derivative. We verify the theoretical results on relevant numerical problems and compare the behavior of the propose method with some existing ones.	en_US
dc.description.provenance	Submitted by wahyu sari yeni (ayoe32@ymail.com) on 2017-11-14T02:41:46Z No. of bitstreams: 3 cover.pdf: 508039 bytes, checksum: f0055ae40d3769d4cfa809f3ec5239a3 (MD5) daftar isi.pdf: 1111781 bytes, checksum: db557b28bbf106057bd78d520696d397 (MD5) artikel.pdf: 1302621 bytes, checksum: c30621c8b8f8e7fddc7a873d69365c32 (MD5)	en
dc.description.provenance	Made available in DSpace on 2017-11-14T02:41:46Z (GMT). No. of bitstreams: 3 cover.pdf: 508039 bytes, checksum: f0055ae40d3769d4cfa809f3ec5239a3 (MD5) daftar isi.pdf: 1111781 bytes, checksum: db557b28bbf106057bd78d520696d397 (MD5) artikel.pdf: 1302621 bytes, checksum: c30621c8b8f8e7fddc7a873d69365c32 (MD5) Previous issue date: 2017-11-14	en
dc.description.sponsorship	Presented at the 14th National Conference in Mathematics, and the Congress of Indonesian Mathematical Society, held at the Sriwijaya University in Palembang, July 24-27, 2008	en_US
dc.language.iso	en	en_US
dc.subject	Modified Newton's Method	en_US
dc.subject	Midpoint rule	en_US
dc.subject	trapezoidal rule	en_US
dc.title	Midpoint Newton's Method for Simple and Multiple Roots	en_US
dc.type	Article	en_US