| dc.contributor.author |
Fried, I. |
|
| dc.date.accessioned |
2016-07-21T12:48:01Z |
|
| dc.date.available |
2016-07-21T12:48:01Z |
|
| dc.date.issued |
2016-07 |
|
| dc.identifier.uri |
http://dx.doi.org/10.4236/am.2016.711106 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/876 |
|
| dc.description.abstract |
In this note we at first briefly review iterative methods for effectively approaching a root of an unknown multiplicity. We describe a first order, then a second order estimate for the multiplicity index m of the approached root. Next we present a second order, two-step method for iteratively nearing a root of an unknown multiplicity. Subsequently, we introduce a novel chord, or a two- step method, not requiring beforehand knowledge of the multiplicity index m of the sought root, nor requiring higher order derivatives of the equilibrium function, which is quadratically convergent for any , and then reverts to superlinear. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.publisher |
Scientific Research Publishing |
en_US |
| dc.relation.ispartofseries |
Applied Mathematics, 2016, 7, 1207-1214; |
|
| dc.subject |
Iterative Methods |
en_US |
| dc.subject |
Unknown Root Multiplicity |
en_US |
| dc.subject |
Two-Step Methods |
en_US |
| dc.title |
A Remarkable Chord Iterative Method for Roots of Uncertain Multiplicity |
en_US |
| dc.type |
Article |
en_US |
