Find a rational approximation to x within the tolerance defined by tol using a continued fraction expansion. For example:
rat (pi) = 3 + 1/(7 + 1/16) = 355/113 rat (e) = 3 + 1/(-4 + 1/(2 + 1/(5 + 1/(-2 + 1/(-7))))) = 1457/536
Called with two arguments returns the numerator and denominator separately as two matrices.
See also: rats.
Convert x into a rational approximation represented as a string. You can convert the string back into a matrix as follows:
r = rats (hilb (4)); x = str2num (r)
The optional second argument defines the maximum length of the string representing the elements of x. By default len is 9.
See also: format, rat.