Chapter 2  Solutions of Equations in One Variable


Bisection Method


Suppose  is a continuous function defined on the interval , with  and  of opposite sign. By the Intermediate Value Theorem, there exists  in  with . Although the procedure will work for the case when  and  have opposite signs and there is more then one root in the interval .

If , set ,

Otherwise, set ,

Then  has a zero in the interval




【1】         R. L. Burden and J. D. Faires, Numerical Analysis, PWS, Boston, 1993.