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D.2.10.3 randommat
Procedure from library random.lib (see random_lib).
- Usage:
- randommat(n,m[,id,b]); n,m,b integers, id ideal
- Return:
- nxm matrix, entries are random linear combinations of elements
of id and coefficients in [-b,b]
[default: (id,b) = (maxideal(1),30000)]
- Note:
- For performance reasons try small bound b in char 0
Example:
| | LIB "random.lib";
ring r=0,(x,y,z),dp;
matrix A=randommat(3,3,maxideal(2),9);
print(A);
==> 9x2-2xy-8y2-9xz+yz+4z2, 9x2-4xy+y2-5xz+6yz-z2, 8x2+xy-9y2+2yz-8z2,
==> -x2+5xy-8y2-7xz+4yz-3z2,x2+xy-4y2-xz+5z2, 5x2-8xy+8y2+6xz+yz+7z2,
==> 4x2-5xy-6y2-4yz-5z2, -4x2-6xy-4y2-8xz+3yz+5z2,2x2+3xy+y2+4xz-3yz+2z2
A=randommat(2,3);
print(A);
==> 15276x+9897y+7526z, 6495x-24178y+11295z,-5745x-14754y+15979z,
==> 20788x-28366y-20283z,24911x-10978y+3341z,12412x+11216y+15344z
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