Example 3.  Convergence  Find the solution to the cubic equation  [Graphics:Images/BisectionMod_gr_647.gif].  Use the starting interval  [Graphics:Images/BisectionMod_gr_648.gif].  

Solution 3.

[Graphics:../Images/BisectionMod_gr_649.gif]

k

[Graphics:../Images/BisectionMod_gr_650.gif]

[Graphics:../Images/BisectionMod_gr_651.gif]

[Graphics:../Images/BisectionMod_gr_652.gif]

[Graphics:../Images/BisectionMod_gr_653.gif]

[Graphics:../Images/BisectionMod_gr_654.gif]

[Graphics:../Images/BisectionMod_gr_655.gif]

[Graphics:../Images/BisectionMod_gr_656.gif]

[Graphics:../Images/BisectionMod_gr_657.gif]

[Graphics:../Images/BisectionMod_gr_658.gif]

[Graphics:../Images/BisectionMod_gr_659.gif]

[Graphics:../Images/BisectionMod_gr_660.gif]

[Graphics:../Images/BisectionMod_gr_661.gif]

[Graphics:../Images/BisectionMod_gr_662.gif]

[Graphics:../Images/BisectionMod_gr_663.gif]

[Graphics:../Images/BisectionMod_gr_664.gif]

[Graphics:../Images/BisectionMod_gr_665.gif]

[Graphics:../Images/BisectionMod_gr_666.gif]

[Graphics:../Images/BisectionMod_gr_667.gif]

[Graphics:../Images/BisectionMod_gr_668.gif]

[Graphics:../Images/BisectionMod_gr_669.gif]

[Graphics:../Images/BisectionMod_gr_670.gif]

[Graphics:../Images/BisectionMod_gr_671.gif]

[Graphics:../Images/BisectionMod_gr_672.gif]

[Graphics:../Images/BisectionMod_gr_673.gif]

[Graphics:../Images/BisectionMod_gr_674.gif]

[Graphics:../Images/BisectionMod_gr_675.gif]

[Graphics:../Images/BisectionMod_gr_676.gif]

[Graphics:../Images/BisectionMod_gr_677.gif]

[Graphics:../Images/BisectionMod_gr_678.gif]

[Graphics:../Images/BisectionMod_gr_679.gif]

[Graphics:../Images/BisectionMod_gr_680.gif]

[Graphics:../Images/BisectionMod_gr_681.gif]

[Graphics:../Images/BisectionMod_gr_682.gif]

[Graphics:../Images/BisectionMod_gr_683.gif]

[Graphics:../Images/BisectionMod_gr_684.gif]

[Graphics:../Images/BisectionMod_gr_685.gif]

[Graphics:../Images/BisectionMod_gr_686.gif]

[Graphics:../Images/BisectionMod_gr_687.gif]

[Graphics:../Images/BisectionMod_gr_688.gif]

[Graphics:../Images/BisectionMod_gr_689.gif]

[Graphics:../Images/BisectionMod_gr_690.gif]

[Graphics:../Images/BisectionMod_gr_691.gif]

[Graphics:../Images/BisectionMod_gr_692.gif]

[Graphics:../Images/BisectionMod_gr_693.gif]

[Graphics:../Images/BisectionMod_gr_694.gif]

[Graphics:../Images/BisectionMod_gr_695.gif]

[Graphics:../Images/BisectionMod_gr_696.gif]

[Graphics:../Images/BisectionMod_gr_697.gif]

[Graphics:../Images/BisectionMod_gr_698.gif]

[Graphics:../Images/BisectionMod_gr_699.gif]

[Graphics:../Images/BisectionMod_gr_700.gif]

[Graphics:../Images/BisectionMod_gr_701.gif]

[Graphics:../Images/BisectionMod_gr_702.gif]

[Graphics:../Images/BisectionMod_gr_703.gif]

[Graphics:../Images/BisectionMod_gr_704.gif]

[Graphics:../Images/BisectionMod_gr_705.gif]

[Graphics:../Images/BisectionMod_gr_706.gif]

[Graphics:../Images/BisectionMod_gr_707.gif]

[Graphics:../Images/BisectionMod_gr_708.gif]

[Graphics:../Images/BisectionMod_gr_709.gif]

[Graphics:../Images/BisectionMod_gr_710.gif]

[Graphics:../Images/BisectionMod_gr_711.gif]

[Graphics:../Images/BisectionMod_gr_712.gif]

[Graphics:../Images/BisectionMod_gr_713.gif]

[Graphics:../Images/BisectionMod_gr_714.gif]

[Graphics:../Images/BisectionMod_gr_715.gif]

[Graphics:../Images/BisectionMod_gr_716.gif]

[Graphics:../Images/BisectionMod_gr_717.gif]

[Graphics:../Images/BisectionMod_gr_718.gif]

[Graphics:../Images/BisectionMod_gr_719.gif]

[Graphics:../Images/BisectionMod_gr_720.gif]

[Graphics:../Images/BisectionMod_gr_721.gif]

[Graphics:../Images/BisectionMod_gr_722.gif]

[Graphics:../Images/BisectionMod_gr_723.gif]

[Graphics:../Images/BisectionMod_gr_724.gif]

[Graphics:../Images/BisectionMod_gr_725.gif]

[Graphics:../Images/BisectionMod_gr_726.gif]

[Graphics:../Images/BisectionMod_gr_727.gif]

[Graphics:../Images/BisectionMod_gr_728.gif]

[Graphics:../Images/BisectionMod_gr_729.gif]

[Graphics:../Images/BisectionMod_gr_730.gif]

[Graphics:../Images/BisectionMod_gr_731.gif]

[Graphics:../Images/BisectionMod_gr_732.gif]

[Graphics:../Images/BisectionMod_gr_733.gif]

[Graphics:../Images/BisectionMod_gr_734.gif]

[Graphics:../Images/BisectionMod_gr_735.gif]

[Graphics:../Images/BisectionMod_gr_736.gif]

[Graphics:../Images/BisectionMod_gr_737.gif]

[Graphics:../Images/BisectionMod_gr_738.gif]

[Graphics:../Images/BisectionMod_gr_739.gif]

[Graphics:../Images/BisectionMod_gr_740.gif]

[Graphics:../Images/BisectionMod_gr_741.gif]

[Graphics:../Images/BisectionMod_gr_742.gif]

[Graphics:../Images/BisectionMod_gr_743.gif]

[Graphics:../Images/BisectionMod_gr_744.gif]

[Graphics:../Images/BisectionMod_gr_745.gif]

[Graphics:../Images/BisectionMod_gr_746.gif]

[Graphics:../Images/BisectionMod_gr_747.gif]

[Graphics:../Images/BisectionMod_gr_748.gif]

[Graphics:../Images/BisectionMod_gr_749.gif]

[Graphics:../Images/BisectionMod_gr_750.gif]

[Graphics:../Images/BisectionMod_gr_751.gif]

[Graphics:../Images/BisectionMod_gr_752.gif]

[Graphics:../Images/BisectionMod_gr_753.gif]

[Graphics:../Images/BisectionMod_gr_754.gif]

[Graphics:../Images/BisectionMod_gr_755.gif]

[Graphics:../Images/BisectionMod_gr_756.gif]

[Graphics:../Images/BisectionMod_gr_757.gif]

[Graphics:../Images/BisectionMod_gr_758.gif]

[Graphics:../Images/BisectionMod_gr_759.gif]

[Graphics:../Images/BisectionMod_gr_760.gif]

[Graphics:../Images/BisectionMod_gr_761.gif]

[Graphics:../Images/BisectionMod_gr_762.gif]

[Graphics:../Images/BisectionMod_gr_763.gif]

[Graphics:../Images/BisectionMod_gr_764.gif]

[Graphics:../Images/BisectionMod_gr_765.gif]

[Graphics:../Images/BisectionMod_gr_766.gif]

[Graphics:../Images/BisectionMod_gr_767.gif]

[Graphics:../Images/BisectionMod_gr_768.gif]

[Graphics:../Images/BisectionMod_gr_769.gif]

[Graphics:../Images/BisectionMod_gr_770.gif]

[Graphics:../Images/BisectionMod_gr_771.gif]

[Graphics:../Images/BisectionMod_gr_772.gif]

[Graphics:../Images/BisectionMod_gr_773.gif]

[Graphics:../Images/BisectionMod_gr_774.gif]

[Graphics:../Images/BisectionMod_gr_775.gif]

[Graphics:../Images/BisectionMod_gr_776.gif]

[Graphics:../Images/BisectionMod_gr_777.gif]

[Graphics:../Images/BisectionMod_gr_778.gif]

[Graphics:../Images/BisectionMod_gr_779.gif]

[Graphics:../Images/BisectionMod_gr_780.gif]

[Graphics:../Images/BisectionMod_gr_781.gif]

[Graphics:../Images/BisectionMod_gr_782.gif]

[Graphics:../Images/BisectionMod_gr_783.gif]

[Graphics:../Images/BisectionMod_gr_784.gif]

[Graphics:../Images/BisectionMod_gr_785.gif]

[Graphics:../Images/BisectionMod_gr_786.gif]

[Graphics:../Images/BisectionMod_gr_787.gif]

[Graphics:../Images/BisectionMod_gr_788.gif]

[Graphics:../Images/BisectionMod_gr_789.gif]

[Graphics:../Images/BisectionMod_gr_790.gif]

[Graphics:../Images/BisectionMod_gr_791.gif]

[Graphics:../Images/BisectionMod_gr_792.gif]

[Graphics:../Images/BisectionMod_gr_793.gif]

[Graphics:../Images/BisectionMod_gr_794.gif]

[Graphics:../Images/BisectionMod_gr_795.gif]

[Graphics:../Images/BisectionMod_gr_796.gif]

[Graphics:../Images/BisectionMod_gr_797.gif]

[Graphics:../Images/BisectionMod_gr_798.gif]

[Graphics:../Images/BisectionMod_gr_799.gif]

[Graphics:../Images/BisectionMod_gr_800.gif]

[Graphics:../Images/BisectionMod_gr_801.gif]

[Graphics:../Images/BisectionMod_gr_802.gif]

[Graphics:../Images/BisectionMod_gr_803.gif]

[Graphics:../Images/BisectionMod_gr_804.gif]

[Graphics:../Images/BisectionMod_gr_805.gif]

[Graphics:../Images/BisectionMod_gr_806.gif]

[Graphics:../Images/BisectionMod_gr_807.gif]

[Graphics:../Images/BisectionMod_gr_808.gif]

[Graphics:../Images/BisectionMod_gr_809.gif]
[Graphics:../Images/BisectionMod_gr_810.gif]
[Graphics:../Images/BisectionMod_gr_811.gif]

[Graphics:../Images/BisectionMod_gr_812.gif]

Animation 1.  ( Bisection Method  Bisection Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004