Topic: Newton's Method of Approximation
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What is Newton's method of approximate root?
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How to Adjust the Quadrilateral Approximate Method
A surveyor who measures a plot of land shaped like a quadrilateral has to record the sizes of eight separate angles. These angles exist between the quadrilateral's sides and its diagonals. In theory, these angles should obey the mathematica... Read More »
Source: http://www.ehow.com/how_12103283_adjust-quadrilateral-approximate...
How to decide initial approximation in newton raphson method?
This is actually a really good question because Newton's Method can find itself in an infinite loop or it can even find itself divergent. So here's the trick. In order for Newton's Method to be applicable, we need to have a differentiable f... Read More »
Source: http://answers.yahoo.com/question/index?qid=20120516144553AA3dJRx
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Newton's Method of Approximation
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Given a function f(x), make an initial guess x0. Substitute it into x1 = x0 - f(x0) / f ' (x0). Then make x1 your next guess. Continue until this converges, if it does.
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Source: http://answers.yahoo.com/question/index?qid=20120314131008AASJeRL
xn = x - f(x)/f´(x) x0 = 1; f(1)=-0.158529015; f'(1) ≈-4.459697694 x1 = 0.964452968; f(0.964452968)=-0.012722209; f'(0.964452968) ≈-4.101799761 x2 = 0.961351352; f(0.961351352)=-0.00116186; f'(0.961351352) ≈-3.727201426 x3 = 0.961039627; f(...
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e^-x = x e^ - x - x = 0 f(x) = e^-x - x f'(x) = -e^-x - 1 root somewhere around x = 1/2 better guess x2 = x - f(x) / f'(x) = .5 - (e^(-1/2) - 1/2) / (-e^-(1/2) - 1) = .5963 x3 = x2 - f(x2) / f'(x2) = .56699 keep doing that, but find where t...
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Source: http://answers.yahoo.com/question/index?qid=20091118022043AAUQpqK
The Gauss-Newton method is a nonlinear least squares algorithm. The process involves making a series of guesses as to the value of x, then linearizing an equation, say r, near the guesses. The result leads to a new guess, which is a linear ...
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Source: http://www.ehow.com/how_6669439_use-matlab-gauss_newton-method.ht...
1 Pick a sufficiently close x-value to start with . (See Warnings section) 2 Draw the corresponding tangent line to the curve . 3 Mark where the tangent line crosses and mark the point of the function that equals where the tangent line cros...
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Source: http://www.wikihow.com/Use-the-Newton-Raphson-Method-Without-Calc...
Newton's Square Root Approximation is ? N ? ½(N/A + A). ...MORE...
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Source: http://www.chacha.com/question/what-is-newtons-approximation
