#19120: efficient algorithm to compute continued fraction of a sum of continued
fractions
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Reporter: sstarosta | Owner: sstarosta
Type: enhancement | Status: new
Priority: minor | Milestone: sage-pending
Component: number theory | Keywords: continued fractions
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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knowing continued fractions of x and y, compute the continued fraction of
x+y
(overlaps with the following TODO item of
sage/rings/continued_fraction.py:
Add Gosper’s algorithm to compute the continued fraction of (ax + b)/(cx +
d) knowing the one of x (see Gosper (1972,
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html), Knuth (1998, TAOCP vol
2, Exercise 4.5.3.15), Fowler (1999). See also Liardet, P. and Stambul, P.
“Algebraic Computation with Continued Fractions.” J. Number Th. 73,
92-121, 1998.)
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Ticket URL: <http://trac.sagemath.org/ticket/19120>
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