ERIC Number: EJ770495
Record Type: Journal
Publication Date: 2002-Jul
Pages: 7
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Available Date: N/A
Leap-Frogging Newton's Method
Kasturiarachi, A. Bathi
International Journal of Mathematical Education in Science and Technology, v33 n4 p521-527 Jul 2002
Using Newton's method as an intermediate step, we introduce an iterative method that approximates numerically the solution of f(x) = 0. The method is essentially a leap-frog Newton's method. The order of convergence of the proposed method at a simple root is cubic and the computational efficiency in general is less, but close to that of Newton's method. Like Newton's method, the new method requires only function and first derivative evaluations. The method can easily be implemented on computer algebra systems where high machine precision is available. (Contains 2 tables and 1 figure.)
Descriptors: Algebra, Graphing Calculators, Mathematics, Mathematics Education, Equations (Mathematics), Mathematical Logic, Validity, College Mathematics
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A