GNU Octave Manual Version 3 by John W. Eaton, David Bateman, Søren Hauberg Paperback (6"x9"), 568 pages ISBN 095461206X RRP £24.95 ($39.95) |
14.1.4 Rational Approximations
- Function File: s = rat (x, tol)
- Function File: [n, d] = rat (x, tol)
-
Find a rational approximation to x within tolerance defined by tol using a continued fraction expansion. E.g,
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
- Built-in Function: rats (x, len)
- 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
ISBN 095461206X | GNU Octave Manual Version 3 | See the print edition |