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
Statistics and Numerical Methods
MA3251 2nd Semester 2021 Regulation M2 Engineering Mathematics 2 | 2nd Semester Common to all Dept 2021 Regulation