Root-finding: from Newton to Halley and beyond

Richard J. Martin

Papers from arXiv.org

Abstract: We give a new improvement over Newton's method for root-finding, when the function in question is doubly differentiable. It generally exhibits faster and more reliable convergence. It can be also be thought of as a correction to Halley's method, as this can exhibit undesirable behaviour.

Date: 2023-12
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://arxiv.org/pdf/2312.12305 Latest version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2312.12305

Access Statistics for this paper

More papers in Papers from arXiv.org
Bibliographic data for series maintained by arXiv administrators (help@arxiv.org).