Question

*related to Matlab

Choose the correct statement about Open Methods from the options below. Select one: a. All open methods will work only if you have an analytic expression of f(x) b. All open methods are based on considering the tangent to f(x) c. All open methods require a bracket to start off d. All open methods require more than one point as initial guesses. In a bracketing method, how does the upper bounds xu gets updated? Select one: a. xu is set equal to xr if xl*x0 b. xu is set equal to xr if fxl fxr> 0 c. xu is set equal to xr if xltxr> 0 d.xu is set equal to xr if fxitfr

Answer 1

1)None of the options is correct

a)Secant method does not require analytical expression of f'(x)

b)Fixed point iteration method is not based on considering the tangent to f(x)

c)Open methods do not require bracket to start off.This is the basic difference between open methods and bracketing methods

d)Not all open methods require more than one initial guesses

2)answer is option d

xu is set equal to xr=(xl+xu)/2 if f(xl)f(xr)<0 this means root lies in the lower half

else root lies in the upper half