diophantine, a MATLAB code which finds one solution of a diophantine equation in any number of variables.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
diophantine is available in a MATLAB version.
diophantine_2d, a MATLAB code which is given a Diophantine equation in 2 variables, and can characterize all solutions, all strictly positive solutions, or all nonnegative solutions.
diophantine_3d, a MATLAB code which is given a Diophantine equation in 3 variables, and returns all strictly positive solutions, or all nonnegative solutions.
diophantine_4d, a MATLAB code which is given a Diophantine equation in 4 variables, and returns all strictly positive solutions, or all nonnegative solutions.
diophantine_5d, a MATLAB code which is given a Diophantine equation in 5 variables, and returns all strictly positive solutions, or all nonnegative solutions.
diophantine_nd, a MATLAB code which is given a Diophantine equation in N variables, and returns all strictly positive solutions, or all nonnegative solutions.
i4mat_rref2, a MATLAB code which computes a version of the reduced row echelon form of an integer matrix.
row_echelon_integer, a MATLAB code which carries out the exact computation of the integer row echelon form (IREF) and integer reduced row echelon form (IRREF) of an integer matrix.
subset, a MATLAB code which enumerates, generates, randomizes, ranks and unranks combinatorial objects including combinations, compositions, Gray codes, index sets, partitions, permutations, polynomials, subsets, and Young tables. Backtracking routines are included to solve some combinatorial problems. Some routines for continued fractions are included.