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Unformatted text preview: This is called successive substitution . NewtonRaphson Nonlinear systems may also be solved using the NewtonRaphson method for multiple variables. For a twovariable system, the Taylor series approximation and resulting NewtonRaphson equations are: f 1, i + 1 = f 1, i + x 1, i + 1x 1, i ( 29 ∂ f 1, i x 1 + x 2, i + 1x 2, i ( 29 f 1, i x 2 x 1, i + 1 = x 1, if 1, i f 2, i x 2f 2, i f 1, i x 2 f 1, i x 1 f 2, i x 2f 1, i x 2 f 2, i x 1 f 2, i + 1 = f 2, i + x 1, i + 1x 1, i ( 29 f 2, i x 1 + x 2, i + 1x 2, i ( 29 f 2, i x 2 x 2, i + 1 = x 2, if 2, i f 1, i x 1f 1, i f 2, i x 1 f 1, i x 1 f 2, i x 2f 1, i x 2 f 2, i x 1 Probability and statistics concepts See class notes: Probability NASA lecture...
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This note was uploaded on 02/17/2012 for the course EGN 3420 taught by Professor Staff during the Spring '08 term at University of Central Florida.
 Spring '08
 Staff

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