Exam formula sheet

Exam formula sheet - Root Finding: xR xU EMAX f ( xU )( xU...

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Root Finding: 2 log ) / log( log 2 ) ( ) ( ) ( ) ( ) )( ( ) ( ) ( ) )( ( 0 0 2 0 1 1 1 1 MAX MAX N MAX i i i i i i i i i i i L U L U U U R E x E x N x E x f x f x x x f x f x x x f x x x f x f x x x f x x Golden Section: midpoint) (assuming 2 ) 1 ( 6180339887 . 1 2 5 1 ) )( 1 ( , , 0 1 2 N MAX L U L U x E X X d d X X d X X Simultaneous Equations: d Ux Pb Ld Pb LUx b LU P b Ax d Ux b Ld b LUx b Ax and and 1 Iterative methods: ii i i ii ij ij ii k k a b d a a c c d Cx x / / 0 1 Lagrange Polynomial: ) ( ) )( ( ) )( ( ) ( ) )( ( ) )( ( ) ( ) ( ) ( ) ( ) ( ) ( 1 1 2 1 1 1 2 1 3 3 2 2 1 1 N k k k k k k k N k k k N N x x x x x x x x x x x x x x x x x x x x x L y x L y x L y x L y x L x p Numerator of L k ( x ) is product of all ( x x i ) except for ( x x k ) Denominator of L k ( x ) is product of all ( x k x i ) except for ( x k
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This document was uploaded on 04/14/2010.

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Exam formula sheet - Root Finding: xR xU EMAX f ( xU )( xU...

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