Example 3.  Convergence  Find the solution to the cubic equation  [Graphics:Images/RegulaFalsiMod_gr_432.gif].  Use the starting interval  [Graphics:Images/RegulaFalsiMod_gr_433.gif].  

Solution 3.

[Graphics:../Images/RegulaFalsiMod_gr_434.gif]

k

[Graphics:../Images/RegulaFalsiMod_gr_435.gif]

[Graphics:../Images/RegulaFalsiMod_gr_436.gif]

[Graphics:../Images/RegulaFalsiMod_gr_437.gif]

[Graphics:../Images/RegulaFalsiMod_gr_438.gif]

[Graphics:../Images/RegulaFalsiMod_gr_439.gif]

[Graphics:../Images/RegulaFalsiMod_gr_440.gif]

[Graphics:../Images/RegulaFalsiMod_gr_441.gif]

[Graphics:../Images/RegulaFalsiMod_gr_442.gif]

[Graphics:../Images/RegulaFalsiMod_gr_443.gif]

[Graphics:../Images/RegulaFalsiMod_gr_444.gif]

[Graphics:../Images/RegulaFalsiMod_gr_445.gif]

[Graphics:../Images/RegulaFalsiMod_gr_446.gif]

[Graphics:../Images/RegulaFalsiMod_gr_447.gif]

[Graphics:../Images/RegulaFalsiMod_gr_448.gif]

[Graphics:../Images/RegulaFalsiMod_gr_449.gif]

[Graphics:../Images/RegulaFalsiMod_gr_450.gif]

[Graphics:../Images/RegulaFalsiMod_gr_451.gif]

[Graphics:../Images/RegulaFalsiMod_gr_452.gif]

[Graphics:../Images/RegulaFalsiMod_gr_453.gif]

[Graphics:../Images/RegulaFalsiMod_gr_454.gif]

[Graphics:../Images/RegulaFalsiMod_gr_455.gif]

[Graphics:../Images/RegulaFalsiMod_gr_456.gif]

[Graphics:../Images/RegulaFalsiMod_gr_457.gif]

[Graphics:../Images/RegulaFalsiMod_gr_458.gif]

[Graphics:../Images/RegulaFalsiMod_gr_459.gif]

[Graphics:../Images/RegulaFalsiMod_gr_460.gif]

[Graphics:../Images/RegulaFalsiMod_gr_461.gif]

[Graphics:../Images/RegulaFalsiMod_gr_462.gif]

[Graphics:../Images/RegulaFalsiMod_gr_463.gif]

[Graphics:../Images/RegulaFalsiMod_gr_464.gif]

[Graphics:../Images/RegulaFalsiMod_gr_465.gif]

[Graphics:../Images/RegulaFalsiMod_gr_466.gif]

[Graphics:../Images/RegulaFalsiMod_gr_467.gif]

[Graphics:../Images/RegulaFalsiMod_gr_468.gif]

[Graphics:../Images/RegulaFalsiMod_gr_469.gif]

[Graphics:../Images/RegulaFalsiMod_gr_470.gif]

[Graphics:../Images/RegulaFalsiMod_gr_471.gif]

[Graphics:../Images/RegulaFalsiMod_gr_472.gif]

[Graphics:../Images/RegulaFalsiMod_gr_473.gif]

[Graphics:../Images/RegulaFalsiMod_gr_474.gif]

[Graphics:../Images/RegulaFalsiMod_gr_475.gif]

[Graphics:../Images/RegulaFalsiMod_gr_476.gif]

[Graphics:../Images/RegulaFalsiMod_gr_477.gif]

[Graphics:../Images/RegulaFalsiMod_gr_478.gif]

[Graphics:../Images/RegulaFalsiMod_gr_479.gif]

[Graphics:../Images/RegulaFalsiMod_gr_480.gif]

[Graphics:../Images/RegulaFalsiMod_gr_481.gif]

[Graphics:../Images/RegulaFalsiMod_gr_482.gif]

[Graphics:../Images/RegulaFalsiMod_gr_483.gif]

[Graphics:../Images/RegulaFalsiMod_gr_484.gif]

[Graphics:../Images/RegulaFalsiMod_gr_485.gif]

[Graphics:../Images/RegulaFalsiMod_gr_486.gif]

[Graphics:../Images/RegulaFalsiMod_gr_487.gif]

[Graphics:../Images/RegulaFalsiMod_gr_488.gif]

[Graphics:../Images/RegulaFalsiMod_gr_489.gif]

[Graphics:../Images/RegulaFalsiMod_gr_490.gif]

[Graphics:../Images/RegulaFalsiMod_gr_491.gif]

[Graphics:../Images/RegulaFalsiMod_gr_492.gif]

[Graphics:../Images/RegulaFalsiMod_gr_493.gif]

[Graphics:../Images/RegulaFalsiMod_gr_494.gif]

[Graphics:../Images/RegulaFalsiMod_gr_495.gif]

[Graphics:../Images/RegulaFalsiMod_gr_496.gif]

[Graphics:../Images/RegulaFalsiMod_gr_497.gif]

[Graphics:../Images/RegulaFalsiMod_gr_498.gif]

[Graphics:../Images/RegulaFalsiMod_gr_499.gif]

[Graphics:../Images/RegulaFalsiMod_gr_500.gif]

[Graphics:../Images/RegulaFalsiMod_gr_501.gif]

[Graphics:../Images/RegulaFalsiMod_gr_502.gif]

[Graphics:../Images/RegulaFalsiMod_gr_503.gif]

[Graphics:../Images/RegulaFalsiMod_gr_504.gif]

[Graphics:../Images/RegulaFalsiMod_gr_505.gif]

[Graphics:../Images/RegulaFalsiMod_gr_506.gif]

[Graphics:../Images/RegulaFalsiMod_gr_507.gif]

[Graphics:../Images/RegulaFalsiMod_gr_508.gif]

[Graphics:../Images/RegulaFalsiMod_gr_509.gif]

[Graphics:../Images/RegulaFalsiMod_gr_510.gif]

[Graphics:../Images/RegulaFalsiMod_gr_511.gif]

[Graphics:../Images/RegulaFalsiMod_gr_512.gif]

[Graphics:../Images/RegulaFalsiMod_gr_513.gif]

[Graphics:../Images/RegulaFalsiMod_gr_514.gif]

[Graphics:../Images/RegulaFalsiMod_gr_515.gif]

[Graphics:../Images/RegulaFalsiMod_gr_516.gif]

[Graphics:../Images/RegulaFalsiMod_gr_517.gif]

[Graphics:../Images/RegulaFalsiMod_gr_518.gif]

[Graphics:../Images/RegulaFalsiMod_gr_519.gif]
[Graphics:../Images/RegulaFalsiMod_gr_520.gif]

[Graphics:../Images/RegulaFalsiMod_gr_521.gif]

Animation 1.  ( (Regula Falsi  Method  Regula Falsi  Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004