Newton-Raphson Method of Solving a Nonlinear Equation-More ...
Newton-Raphson Method of Solving a Nonlinear Equation-More ...
Newton-Raphson Method of Solving a Nonlinear Equation-More ...
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03.04.2 Chapter 03.04Tf ,1 Tf ,0ffTTf ,0f ,00.505980.74363100 111.5179101037210100 0.382921010042101000.8831810274100 0.76582101000.743631031.829010 100 56.5187 10 100 28.058 128.06The absolute relative approximate error aat the end <strong>of</strong> Iteration 1 isaTf ,1 TTf ,1f ,0100128.06 ( 100)100128.06 21.910%The number <strong>of</strong> significant digits at least correct is 0, as you need an absolute relativeapproximate error <strong>of</strong> less than 5% for one significant digit to be correct in your result.Iteration 2The estimate <strong>of</strong> the root isf Tf ,1Tf ,2 Tf ,1f Tf ,1100.505981040.7436310 128.06 101.5179100.743631054.321410 128.0656.206710 128.06 (0.69625) 128.75The absolute relative approximate erroraTf ,2T Tf ,2f ,1100128.75 128.06100128.75 0.54076%The number <strong>of</strong> significant digits at least correct is 1.37128.06 0.3829210 128.062128.060.883181027128.06 0.76584 10128.064aat the end <strong>of</strong> Iteration 2 is2
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