# Lecture6 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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Unformatted text preview: Engineering Analysis ENG 3420 Fall 2009 Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00 2 Lecture 6 Lecture 6 Last time: Internal representations of numbers and characters in a computer. Arrays in Matlab Matlab program for solving a quadratic equation Today: Roundoff and truncation errors More on Matlab Next Time More on approximations. 3 Accuracy versus Precision Accuracy how closely a computed or measured value agrees with the true value , P recision how closely individual computed or measured values agree with each other. a) inaccurate and imprecise b) accurate and imprecise c) inaccurate and precise d) accurate and precise 4 Errors when we know the true value True error ( E t ) the difference between the true value and the approximation. Absolute error (| E t |) the absolute difference between the true value and the approximation. True fractional relative error the true error divided by the true value. Relative error ( ε t ) the true fractional relative error expressed as a percentage. For iterative processes, the error can be approximated as the difference in values between successive iterations. 5 Stopping criterion Often, we are interested in whether the absolute value of...
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## This note was uploaded on 02/17/2012 for the course EGN 3420 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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Lecture6 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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