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ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 9 Roots of Equations Open Methods
Last Time The Problem Define Function c must satisfy c is the ROOT of the equation
Last Time Classification Methods BracketingOpen Graphical Bisection Method False Position Fixed Point Iteration Newton-Raphson Secand
Last Time Bisection Method Repeat until convergence xlxl xuxu x r =0.5(x l +x u )
Last Time False Position Method f(x l ) f(x u ) xlxl xuxu xrxr
Newton Raphson X g(x) Initial Guess New Guess New Guess g’(x i )
Last Time Bisection Method Check Convergence Root = If Error
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