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Unformatted text preview: and the log = 2.36 contour corresponds to a 10% change. The best value found was = [ 1 . 601660 , 2 . 696310], with residual norm 0.002401137 = 10 2 . 6196 . Our uncertainty in the rate constants is rather large. The true solution, the value used to generate the data, was = [ 1 . 6 , 2 . 7] with x 1 = x 2 = 0 . 75, and the standard deviation of the white noise was 10 4 . Variants of Pronys method [1] provide alternate approaches to exponential tting. Exponential tting is a very dicult problem, even when the number of terms n is known. It becomes even easier to be fooled when determining n is part of the problem!...
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This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.
 Fall '11
 Dr.Robin

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