Singular Manual: triagmatrix

| #### D.2.9.10 triagmatrix Procedure from library `random.lib` (see random_lib). Usage: triagmatrix(n,m,o[,u,pe,pp,b]); n,m,o,u,pe,pp,b integers Return: nxm lower triagonal matrix, diagonal entries equal to 1, about p percent of lower diagonal 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 triagonal matrix of sparse polys of degree <=2:
    print(triagmatrix(3,4,2));"";
    ==> 1,                                 0,0,0,
    ==> 52ac+54cd+14c,                     1,0,0,
    ==> 17a2+19b2+45ac+94bc+50b+87c+54d+21,0,1,0
    ==>
    // dense triagonal matrix of sparse linear forms:
    print(triagmatrix(3,3,1,1,0,55,9));
    ==> 1,       0,    0,
    ==> 7a+8d,   1,    0,
    ==> 9b+7c+4d,7b+9d,1

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