#1
10th April 2015, 02:07 PM
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Newton Raphson Method IITM
Can I get the notes of Newton-Raphson method to find the zero of the function for the IITM course ware. If you can give me some notes from IITM lectuare itself it would be great help for me. I am making a project on Newton Raphson Method for presentation at IITM.
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#2
16th June 2018, 10:13 AM
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Re: Newton Raphson Method IITM
My sister said me to search for Newton Raphson Method studying at IITM. I have more searched but didnt get any information about this method. Someone suggested me for this site, so is there anybody who will tell me about Newton Raphson Method studying at IITM?
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#3
16th June 2018, 10:15 AM
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Re: Newton Raphson Method IITM
As you are looking for Newton Raphson Method studying at IITM, so I am providing following information: IITM - Newton Raphson Method GRAPHICAL INTERPRETATION :Let the given equation be f(x) = 0 and the initial approximation for the root is x0. Draw a tangent to the curve y = f(x) at x0 and extend the tangent until x-axis. Then the point of intersection of the tangent and the x-axis is the next approximation for the root of f(x) = 0. Repeat the procedure with x0 = x1 until it converges. C1. Fixing apriori the total number of iterations N. C2. By testing the condition | xi+1 - xi | (where i is the iteration number) less than some tolerance limit, say epsilon, fixed apriori. Numerical Example : Find a root of 3x+sin[x]-exp[x]=0 Let the initial guess x0 be 2.0 f(x) = 3x+sin[x]-exp[x] f '(x) = 3+cos[x]-exp[x] i 0 1 2 3 4 xi 2 1.90016 1.89013 1.89003 1.89003 So the iterative process converges to 1.89003 in four iterations. IITM - Newton Raphson Method |