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# 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  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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