Need algorithm to convert general continued fraction to simple continued fraction
- To: mathgroup at smc.vnet.net
- Subject: [mg70171] Need algorithm to convert general continued fraction to simple continued fraction
- From: "Diana" <diana.mecum at gmail.com>
- Date: Fri, 6 Oct 2006 01:58:46 -0400 (EDT)
Math folks, I have a general continued fraction, the partial quotients of which are comprised of arbitrary polynomials in t. These arbitrary polynomials do not repeat in a regular fashion, but I have the continued fraction expansion available to any desired length. I would like to know if there is an alogrithm which I could use, and then code with Mathematica, which would allow me to convert this fraction to a simple continued fraction. In other words, I would like to replace a non-zero a_0 term with 0. So, is there a way to convert: [{1/(t^2+t+1), t^4-t, t^2-t, t^4-t, ...}] (These polynomials in t are arbitrary but known.) to: [{0, ...}]?