| Math Logic |
|
|
| Question : |
|
What is 'Regula Falsi' ? |
Answer : |
| Literally translated
it means rule of false position. In Arithmetic it is the method
of calculating an unknown by making an estimate and working
from it and properties of the unknown to secure the value of
the latter. |
| For
a given a function f(x) and an interval which might contain a root, perform
a predetermined number of iterations using the Regula Falsi method. |
|
This method can also be termed as False Position Method. |
|
Regula Falsi Theorem: |
|
Assume that f e C [a,b] and that there exists a number
r e C [a,b] such that f(r) = 0. If
f(a) and f(b) have opposite signs, and |
 |
|
represents the sequence of points generated by the Regula Falsi process, then the sequence {cn}
converges to the zero x = r. |
That is,  |
|
