## 5

## Inverse Interpolation

##### 5.0 INTRODUCTION

In Chapter 4, using interpolation methods, we found the value of the entry *y* for an intermediate value of the argument* x*, from a given table of value of* x* and *y*.

Sometimes we have to find the value of* x* for a given values of *y* not in the table. This reverse process is known as **inverse interpolation.**

Thus **inverse interpolation** is defined as the process of finding the value of the argument corresponding to a given value of the function lying between two tabulated functional values.

In this chapter, we use the following methods to find the value of the argument* x* for a given value of *y*.

- Lagrange’s inverse interpolation formula
- Successive approximation method or iteration method
- Reversion of series method ...

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