A Remarkable Chord Iterative Method for Roots of Uncertain Multiplicity
| 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.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.identifier.uri | http://dx.doi.org/10.4236/am.2016.711106 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/876 | |
| 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 |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- A Remarkable Chord Iterative Method for Roots of Uncertain Multiplicity.pdf
- Size:
- 579.02 KB
- Format:
- Adobe Portable Document Format
- Description:
- Full text
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: