The process of finding the value of x for the corresponding value of y is called inverse interpolation.
Lagrange's Inverse interpolation
The
process of finding the value of x for the corresponding value of y is called
inverse interpolation.
In
such a case, we will take y as independent variable and x as dependent variable
and use Lagrange's interpolation formula.
Taking
y as independent variable.

Formula
(1) is called the formula of inverse interpolation.
1.
Find the age corresponding to the annuity value 13.6 given the table:


3. Find the value of x when y = 20, using Lagrange's formula from the following table :

Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration : Tag: : Solved Example Problems - Lagrange's Inverse interpolation
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