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When MATLAB Gives "Wrong" Answers
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Steven Leon, UMass Dartmouth
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Abstract:
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One of the main differences between teaching the standard linear algebra
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course and a course in numerical linear algebra is that in the latter course
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all computations are done using finite precision arithmetic. One way to
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illustrate the importance of this difference is to look at examples where
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computational software packages such as MATLAB appear to be giving wrong
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answers.  In this talk we examine four or five such scenarios. In each case
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we look at examples and explain how and why MATLAB arrives at its answers.
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In our final example we examine a MATLAB program that clearly produces an
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impossible answer. In this case, when the author of the program tried to
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debug it by printing out intermediate results, the value of the computed
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solution changed. What is going on? Is MATLAB exhibiting some sort of
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Heisenberg effect?  All will be explained
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at the talk.
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