id: 02348614
dt: j
an: 2002f.05549
au: Kasturiarachi, A. Bathi
ti: Leap-frogging Newton’s method.
so: Int. J. Math. Educ. Sci. Technol. 33, No. 4, 521-527 (2002).
py: 2002
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: N45
ut:
ci:
li: doi:10.1080/00207390210131786
ab: 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.
(orig.)
rv: