roundcfrac.m

バージョン 1.0.0.0 (752 Bytes) 作成者: David Terr
Computes the "round continued fraction" of a given complex number.
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更新 2004/7/30

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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.

引用

David Terr (2024). roundcfrac.m (https://www.mathworks.com/matlabcentral/fileexchange/5153-roundcfrac-m), MATLAB Central File Exchange. 取得済み .

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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.