Problem

For computers, the machine epsilon s can also be thought of as the smallest number that wh...

For computers, the machine epsilon s can also be thought of as the smallest number that when added to one gives a number greater than 1. An algorithm based on this idea can be developed as

Step 1: Set ɛ = 1.

Step 2: If 1 + ɛ is less than or equal to 1, then go to Step 5.

Otherwise go to Step 3.

Step 3: ɛ = ɛ/2

Step 4: Return to Step 2

Step 5: ɛ = 2 × ɛ

Write your own M-file based on this algorithm to determine the machine epsilon. Validate the result by comparing it with the value computed with the built-in function eps.

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Solutions For Problems in Chapter 4