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D.2.5.5 sparsematrix
Procedure from library random.lib (see random_lib).
- Usage:
sparsematrix(n,m,o[,u,pe,pp,b]); n,m,o,u,pe,pp,b integers
- Return:
nxm matrix, about pe percent of the entries are 0, the remaining are random polynomials of degree d, u<=d<=o, with pp percent of the terms being 0, the remaining have random coefficients in the interval [1,b] [default: (pe,u,pp,b) = (0,50,75,100)]
Example:
LIB "random.lib"; ring r = 0,(a,b,c,d),dp; // sparse matrix of sparse polys of degree <=2: print(sparsematrix(3,4,2));""; → 14ab+20bc+79cd+30b, 32a2+97bc+5b, 0, 0, → 0, 0, 6c2+16b+64c+76,0, → 17a2+30ab+94bc+19b+45d,88a2+44bc+13d2+31a,59ac, 0 → // dense matrix of sparse linear forms: print(sparsematrix(3,3,1,1,0,55,9)); → 9b+7c+8d,9b+9d,5a, → 7c+d, a+6b, 2b+2d, → 9a+5b+9c,2a+9d,2d |