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1.2.3 Absolute/Relative Computing Errors

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The absolute/relative error of an approximate value x to the true value X of a real‐valued variable is defined as follows:

(1.2 9)

(1.2 10)

If the LSD is the dth digit after the decimal point, then the magnitude of the absolute error is not greater than half the value of LSD.

(1.2 11)

If the number of significant digits is s, then the magnitude of the relative error is not greater than half the relative value of LSD over most significant digit (MSD).

(1.2 12)

Applied Numerical Methods Using MATLAB

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