roundcfrac.m

Version 1.0.0.0 (752 Bytes) by David Terr
Computes the "round continued fraction" of a given complex number.
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Updated 30 Jul 2004

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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.

Cite As

David Terr (2026). roundcfrac.m (https://uk.mathworks.com/matlabcentral/fileexchange/5153-roundcfrac-m), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R12
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
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Version Published Release Notes
1.0.0.0

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.