Chapter 1  Mathematical Preliminaries

 

The Effect of Round-Off Error

 

Example 1：

 

Theoretically , but numerically not so due to round-off error.

 

Example 2：

,

The solution is

Given  and , then  and , and the answer is , but numerically not so due to round-off error.

 

 

References:

【1】         R. L. Burden and J. D. Faires, Numerical Analysis, PWS, Boston, 1993.