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Mathematical Algorithms in Matlab I

by: Melvina Keeling

Mathematical Algorithms in Matlab I MATH 151

Marketplace > Colorado State University > Mathematics (M) > MATH 151 > Mathematical Algorithms in Matlab I
Melvina Keeling
GPA 3.78

Rebecca Lynn

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Rebecca Lynn
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This 1 page Class Notes was uploaded by Melvina Keeling on Monday September 21, 2015. The Class Notes belongs to MATH 151 at Colorado State University taught by Rebecca Lynn in Fall. Since its upload, it has received 51 views. For similar materials see /class/210076/math-151-colorado-state-university in Mathematics (M) at Colorado State University.


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Date Created: 09/21/15
COLOSTATE SPRING 2009 MATH 151 LECTURE 5 Use help or doc to learn the usage of these commandsfunctions Try these commandsfunctions clear dir diary exit format lang ops pwd quit ver who whos Study and test the source code MathDart m Study and test the source code newtonm The Secant Method for Finding Roots Recall that in the Newton s n1ethod7 one has to evaluate the derivative 1quot Now we replace the derivative by the following difference quotient 7 fltn71 mn 7 mnil In other words7 we utilize the secant line passing through znll fznll and mm instead of the tangent line at mm Then the iteration formula becomes mn 7 mnil m m 7 f m 1 mm 7 mm Of course7 two initial points are needed We could also set a threshold so that the iterations stop if lmn 7 mnlll lt thrash Shown below is a pseudocode inputs fxn tol thresh maxitr a b fa fxna 70 Evaluating the function at points a b fb fxnb for k1zmaxitr if Ifalgtfb swap ab swap fafb end s bafbfa 7 reciprocal of the slope b a 70 Renewal fb fa a a fas 70 Update fa fxna if Ifalttol or Ibaltthresh 7 and assignments break end end outputs k a


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