Description
Numerical methods for solving nonlinear equations
1. Solve equation
x = cosx.
using Newton’s method for: and maximum number of iterations N = 100.
2. Use the secant’s method with x0 = 1 and x1 = 2 to solve x3 − x2 − 1 = 0, with ε = 10−4 and maximum number of iterations N = 100.
3. Let f : [1,2] →R, f(x) = (x−2)2−lnx. Solve the equation f(x) = 0, using bisection method with ε = 10−4 and maximum number of iterations N = 100.
4. Solve the equation from Problem 1 using the false position method with a0 = 0.5 and and maximum number of iterations N = 100.
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