Why in the bisection method it is better to compute the midpoint c between a and b with
c = a + (b - a) / 2.
instead of the simpler:
c = (a + b) / 2.
all variables are floating points.
Why in the bisection method it is better to compute the midpoint c between a and b with
c = a + (b - a) / 2.
instead of the simpler:
c = (a + b) / 2.
all variables are floating points.
it is to avoid any potential overflows / loss of precision in intermediate calculations.