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Unformatted text preview: Solutions of Nonlinear Equations and Systems of Equations Why? But a ac b b x c bx ax 2 4 2 2 = = + + m ? sin ? 2 3 4 5 = = + = = + + + + + Nonlinear Equation Solvers Bracketing Graphical Open Methods Bisection False Position (RegulaFalsi ) Newton Raphson Secant All Iterative Bracketing Methods (Or, two point methods for finding roots) Two initial guesses for the root are required. These guesses must bracket or be on either side of the root o Read Graphical Methods Sec. 5.1 If one root of a real and continuous function, f(x)=0, is bounded by values x=x l , x =x u then f(x l ) . f(x u ) &lt;0. The function changes sign on opposite sides of the roo Graphical Methods Fig 5.4a Fig 5.4b Fig 5.4c The Bisection Method For the arbitrary equation of one variable, f(x)=0 1. Pick x l and x u such that they bound the root of interest, check if f(x l ).f(x u ) &lt;0....
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This note was uploaded on 02/15/2010 for the course CHEN 320 taught by Professor Staff during the Spring '08 term at Texas A&M.
 Spring '08
 Staff

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