Exam Summary

P ii secant 2 1 2 rr r bisection for

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Unformatted text preview: 1( 2 = F !P II Secant: ) 2 +1 () ( ! + () 2 ( )+ ( = RR #"R Bisection:  ( for some ()  2 (+) ) +1 +  (+) ) ( )+ F () ( ( + 1)! )2 F¤ TSG D ( +1) ( F 1 ) ( ) + 2( )+  $  E $ () ()= for chopped arithmetic for rounded arithmetic U 1    @ B (A C¨©( = Newton-Raphson: „‚ s ˆ‡ Condition Number: 1 1 2 ¡  § ¥ ¦©¨¦  ¢#"  ¤$ 10( = False Position: Matrix Norm: 5   ( ) = ( )+( ( )= Vector Norm: =2 3 expanded about a fixed point = Roots of Equations:  1 1 significant digits 85 9¢#""5 ¥ ¦ £ 1 for £ ¡ ¢ £ ¤ 2 10 £ £ = 1 where, 1 0 where, Numerical Derivatives: £ £ =05 machine epsilon: Taylor’s Theorem: £ £ ¤ Floating Point Numbers: £ = £ Relative Errors: £ ENGM3052 Summary Pages l ’ ’ y l ’ ’ 1 ’ x hj 1 2 x Pj [ ’– l v l ’ ”’ l v ”’ 2] ’ ’– ’– l –™™™ ’ ¦#"#– ’– ’ ’ x Pj v –™™™ ’ {""#– j ’ } j l ” ’ ’” =1 = € o ’ v ’– ¨” ~3o o ’ x hj j l v ’ l ’ ’ y y ’ v x hj y y y v j v ” P’ ( ( )= o †’...
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This note was uploaded on 01/16/2014 for the course EGM 3052 taught by Professor Fenton during the Fall '09 term at Dalhousie.

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