Steffensen's method: Difference between revisions

Revision as of 20:14, 24 July 2008

Revision as of 20:16, 24 July 2008

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

for some constant <math>K\ </math>, then the method converges quadratically to a fixed point of &fnof; if the initial approximation <math>x_0\ </math> is sufficiently close to the desired solution <math>\xi\ </math>, that satisifies <math>\xi = f(\xi).\ </math>

==References==