Unformatted text preview: Part II 3. [False-position ±ormula] Let [ ±, ² ] an interval and U a ±unction such that U ( ± ) U ( ² ) < 0. What is the equation o± the straight line that passes through the points ( ±, U ( ± )) and ( ², U ( ² ))? Find the intersection o± that line with the u-axis. 4. [Square root o± 2 by the bisection method] Find the positive zero o± the ±unction U ( u ) = u 2 − 2 using MATLAB . Apply the bisection method starting ±rom the interval [0 , 3]. What is the approximate relative error in percent a±ter ten iterations? Compare with the true error. 5. [Square root o± 2 by the ±alse position method] Repeat the previous exercise, but use the ±alse-position ±ormula instead o± bisection to estimate the root. Which method is better in this case?...
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- Spring '08
- Taylor Polynomials, Complex number, Root-finding algorithm, Bisection Method, lecture room JGB, third-order Taylor polynomials