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mws_gen_nle_ppt_secant(1)

# mws_gen_nle_ppt_secant(1) - Secant Method Major All...

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1/10/2010 http://numericalmethods.eng.usf.edu 1 Secant Method Major: All Engineering Majors Authors: Autar Kaw, Jai Paul http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Secant Method http://numericalmethods.eng.usf.edu
http://numericalmethods.eng.usf.edu 3 Secant Method – Derivation ) (x f ) f(x - = x x i i i i + 1 f(x) f(x i ) f(x i-1 ) x i+2 x i+1 x i X θ ( ) [ ] i i x f x , 1 1 ) ( ) ( ) ( = i i i i i x x x f x f x f ) ( ) ( ) )( ( 1 1 1 + = i i i i i i i x f x f x x x f x x Newton’s Method Approximate the derivative Substituting Equation (2) into Equation (1) gives the Secant method (1) (2) Figure 1 Geometrical illustration of the Newton-Raphson method.

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