This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.


Continued fraction expansion of square roots

MuPAD® notebooks are not recommended. Use MATLAB® live scripts instead.

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.




numlib::sqrt2cfrac(a) returns the continued fraction expansion of the square root of a as a sequence of two lists: the first one contains the non-periodic (integer) part, the second one contains the periodic part of the expansion.


Example 1

The square root of 87 can be written as 9 + q, where q is a number satisfying :


Example 2

Since 81 is a perfect square, there is no periodic part in the continued fraction expansion of its square root:




A positive integer

Return Values

If a is a perfect square, numlib::sqrt2cfrac returns a list with one entry; otherwise numlib::sqrt2cfrac returns a sequence of two lists, the first consisting of one integer, the second consisting of one or more integers.

See Also

MuPAD Functions

Was this topic helpful?