Question

The Convergence Of Bisection Method Is _______

Answer 1

Answer

The method is guaranteed to converge to a root of f if f is a continuous function on the interval [a, b] and f(a) and f(b) have opposite signs. The absolute error is halved at each step so the method converges linearly, which is comparatively slow.

Answer 2

The Bisection Method's Convergence is Linear.

• To locate the roots of a polynomial problem, the bisection method is utilized.
• The bisection method's convergence is linear.
• It splits and separates the interval containing the roots of the polynomial equation.
• The intermediate theorem for continuous functions is the underlying premise of this strategy.
• It operates by reducing the difference between the positive and negative intervals until it reaches the proper result.
• This approach closes the gap by averaging the positive and negative periods.
• It is a simple procedure, but it is slow.