From: Jeffery J. Leader Subject: Re: Halley's Method ? Date: Sun, 06 Aug 2000 11:39:54 -0500 Newsgroups: sci.math.num-analysis Summary: [missing] On Sun, 6 Aug 2000 16:12:23 +0100, "Phil" wrote: >Is 'Halleys Method' (which I believe is a modification of Newton's method >to solve systems of non-linear equations), know by any other names as I'm >having a little trouble finding any more information on it. See: http://mathworld.wolfram.com/HalleysMethod.html This says it is also called the tangent hyperbolas method or Halley's rational formula; frankly, I most commonly hear it (and Householder's method) referred to as "the cubic Newton's method" or the like. I'm not familiar with a version of it for systems. ============================================================================== From: C.D.H.Williams@exeter.ac.uk (Charles DH Williams) Subject: Re: Halley's Method ? Date: Sun, 06 Aug 2000 18:02:06 +0100 Newsgroups: sci.math.num-analysis In article <8mjv8l$383$1@supernews.com>, "Phil" wrote: > Is 'Halleys Method' (which I believe is a modification of Newton's method > to solve systems of non-linear equations), know by any other names as I'm > having a little trouble finding any more information on it. Hildebrand (2nd Edn) http://www.amazon.com/exec/obidos/ASIN/0486653633/ Refers to it a couple of times. e.g. "... This is the frequently rediscovered formula of Halley (see footnote on page 513). Iterative approximation based on this formula is also someteimes called Bailey's method, or Lambert's method." Charles