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
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