3. ESCUELA DE INGENIERÍA DE PETROLEOS We write the formula. Derivatives are made to the n order. Would replace the derivatives in the function (replacing the value of xi). We write f (x +1) = f (x). Maclaurin: P3X Same procedure, but xi = 0 The answer is given as Pn (xi +1) = Pn (x). Remember: n = # derivatives. To calculate the true error
4. ESCUELA DE INGENIERÍA DE PETROLEOS x s x i x r It's in the first interval It's in the second interval It continues until the value of xr is about the real value of the function, determined by the tolerance given by: Function is plotted, find the x-axis cutting, and identifies xi and xs.
5. ESCUELA DE INGENIERÍA DE PETROLEOS Follow the same procedure as the bisection method, except for the change in the way of finding xr.
6. ESCUELA DE INGENIERÍA DE PETROLEOS The function f (x) adds x to find g (x) and the error can be determined if the function converges. The value of xi is determined by knowing the graph of the function (Math Microsoft). When xi is with g (xi), g (xi) = xi +1, ie the value will be evaluated. If the function does not converge using the method of x punts, as many times as necessary until the approximate value of g (x) is similar to the root of f (x). We evaluate the first derivative at the point to be evaluated, if it less than 1, converges whether giving more diverges.
7.
8. ESCUELA DE INGENIERÍA DE PETROLEOS Two positions must be known and xi xi-1 for then replace the formula: Remember that xi> xi-1 When xi +1 is now this will be my xi, and xi-1, will be the eleventh, which had previously Xi requirements are calculated until the value is approximate to the actual value of the root of the given function.
