relative error in matlab

To calculate the relative error in MATLAB, you can use the following formula:

main.m
relativeError = abs(exactValue - approximateValue) / abs(exactValue);
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Here, exactValue is the true or exact value, and approximateValue is the value you have approximated. The abs function is used to compute the absolute difference between the two values.

To provide a more concrete example, let's say you have an exact value of 10 and an approximate value of 9.5. You can calculate the relative error as follows:

main.m
exactValue = 10;
approximateValue = 9.5;

relativeError = abs(exactValue - approximateValue) / abs(exactValue);
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The relativeError will be equal to 0.05, which represents 5% relative error.

Keep in mind that the relative error is often expressed as a percentage by multiplying the result by 100. In the above example, you can modify the calculation as follows:

main.m
relativeError = abs(exactValue - approximateValue) / abs(exactValue) * 100;
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Now, the relativeError will be equal to 5, which represents a 5% relative error.

I hope this helps!