Solutions of Equations in One Variable
                   TheBisection Method
                  Numerical Analysis (9th Edition)
                     RLBurden&JDFaires
                      BeamerPresentation Slides
                           prepared by
                           John Carroll
                        Dublin City University
               c
              
2011Brooks/Cole,CengageLearning
    Context                        Bisection Method                         Example                          Theoretical Result
    Outline
     1    Context: The Root-Finding Problem
     2    Introducing the Bisection Method
     3    Applying the Bisection Method
     4    ATheoretical Result for the Bisection Method
       Numerical Analysis (Chapter 2)                  TheBisection Method                    RLBurden&JDFaires           2/ 32
    Context                        Bisection Method                         Example                          Theoretical Result
    Outline
     1    Context: The Root-Finding Problem
     2    Introducing the Bisection Method
     3    Applying the Bisection Method
     4    ATheoretical Result for the Bisection Method
       Numerical Analysis (Chapter 2)                  TheBisection Method                    RLBurden&JDFaires           3/ 32
    Context                        Bisection Method                         Example                          Theoretical Result
    TheRoot-Finding Problem
    AZerooffunction f(x)
            Wenowconsideroneofthemostbasicproblemsofnumerical
            approximation, namely the root-finding problem.
            This process involves finding a root, or solution, of an equation of
            the form
                                                              f(x) = 0
            for a given function f.
            Aroot of this equation is also called a zero of the function f.
       Numerical Analysis (Chapter 2)                  TheBisection Method                    RLBurden&JDFaires           4/ 32