Singular Manual: sparsematrix

| #### D.2.10.5 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));"";
    ==> 17a2+30ab+94bc+19b+45d,88a2+44bc+13d2+31a,0,                           0,
    ==> 0,                     0,                 6c2+16b+64c+76,              0,
    ==> 14ab+20bc+79cd+30b,    32a2+97bc+5b,      23bc+73c2+ad+48cd+73b+59d+25,0
    ==>
    // dense matrix of sparse linear forms:
    print(sparsematrix(3,3,1,1,0,55,9));
    ==> 9a+5b+9c,2a+9d,2d,
    ==> 7c+d,    a+6b, 2b+2d,
    ==> 9b+7c+8d,9b+9d,5a

User manual for Singular version 4.3.2, 2023, generated by texi2html.