matrices, dot products and convergents of continued fractions

*To*: mathgroup at smc.vnet.net*Subject*: [mg23402] matrices, dot products and convergents of continued fractions*From*: "Matthew Herman" <henayni at hotmail.com>*Date*: Sat, 6 May 2000 02:26:45 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

hi, It is known that you can compute convergents of continued fractions using matrices and dot products. I am having a problem, maybe you guys could help. aak2[x_, y_] := Table[aak[x, b, y], {b, 1, y}] aak[x_, b_, y_] := {{1, contfrac1[x, y][[b]]}, {1, 1}} contfrac1[a_,b_]:= If[IntegerQ[Numerator[a]] && IntegerQ[Denominator[a]], ContinuedFraction[a][[1]],ContinuedFraction[a,b][[1]]] I want to take Dot[aak[x,b,y]], but there are 2 braces on the outside that prevent me from doing this. Anyone have an idea on how to workaround that? Matt ________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com