Attractor basins of various root-finding methods
| dc.contributor.advisor | Canright, David | |
| dc.contributor.advisor | Borges, Carlos F. | |
| dc.contributor.author | Stewart, Bart D. | |
| dc.contributor.department | Applied Mathematics | |
| dc.date | June 2001 | |
| dc.date.accessioned | 2012-08-22T15:34:38Z | |
| dc.date.available | 2012-08-22T15:34:38Z | |
| dc.date.issued | 2001-06 | |
| dc.description.abstract | Real world phenomena commonly exhibit nonlinear relationships, complex geometry, and intricate processes. Analytic or exact solution methods only address a minor class of such phenomena. Consequently, numerical approximation methods, such as root-finding methods, can be used. The goal is, by making use of a variety of root-finding methods (Newton-Rhapson, Chebyshev, Halley and Laguerre), to gain a qualitative appreciation on how various root- finding methods address many prevailing real-world concerns, to include, how are suitable approximation methods determined; when do root finding methods converge; and how long for convergence? Answers to the questions were gained through examining the basins of attraction of the root-finding methods. Different methods generate different basins of attraction. In the end, each method appears to have its own advantages and disadvantages. | en_US |
| dc.description.uri | http://archive.org/details/attractorbasinso1094510997 | |
| dc.format.extent | xii, 67 p. : ill. 28 cm. | en_US |
| dc.identifier.uri | https://hdl.handle.net/10945/10997 | |
| dc.publisher | Monterey, California. Naval Postgraduate School | en_US |
| dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
| dc.title | Attractor basins of various root-finding methods | en_US |
| dc.type | Thesis | en_US |
| dspace.entity.type | Publication | |
| etd.thesisdegree.discipline | Applied Mathematics | en_US |
| etd.thesisdegree.grantor | Naval Postgraduate School (U.S.) | en_US |
| etd.thesisdegree.level | Masters | en_US |
| etd.thesisdegree.name | M.S. in Applied Mathematics | en_US |
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