Steffensen's method: Difference between revisions

Revision as of 01:17, 12 July 2008

Revision as of 01:18, 12 July 2008

Line 29:

: <math>x_{k+1} = x_k + [I - L(f(x_k), x_k)]^{-1}(f(x_k) - x_k), \, </math>

for ''k'' = 1, 2, 3, ...&nbsp;. If the operator ''F''<math>L\ </math> satisfies

: <math>\|L(u,v)-L(x,y)\| \le K \big( \|u-x\| + \|v-y\| \big) </math>