roundcfrac.m
by David Terr
07 Jun 2004
(Updated 30 Jul 2004)
Computes the "round continued fraction" of a given complex number.
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| File Information |
| Description |
This function computes the "round continued fraction" of a given complex number, defined similarly to the ordinary continued fraction except one rounds the quotient at each step instead of using the floor. This allows generalization to complex numbers, whose remainders after rounding lie in the square [-1/2, 1/2) + [-1/2, 1/2) i.
Coefficients are returned as a column vector. |
| MATLAB release |
MATLAB 6.0 (R12)
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| Updates |
| 07 Jul 2004 |
I fixed a bug caused by using the Hermitian conjugate instead of the transpose to compute the result. (Previous result was the complex conjugate of the correct result.) |
| 20 Jul 2004 |
I modified the method used for rounding
remainders. I now round half-integers to
nearest integer with least absolute
value. |
| 30 Jul 2004 |
I added two columns to the result, the second and third being the numerators and denominators of the round rational convergents of x respectively, both possibly negated. |
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