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D.3.2.22 jordan
Procedure from library linalg.lib (see linalg_lib).
- Usage:
- jordan(M); matrix M
- Assume:
- eigenvalues of M in basefield
- Return:
| | list l; Jordan data of M
ideal l[1];
number l[1][i]; eigenvalue of i-th Jordan block of M
intvec l[2];
int l[2][i]; size of i-th Jordan block of M
intvec l[3];
int l[3][i]; multiplicity of i-th Jordan block of M
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Example:
| | LIB "linalg.lib";
ring R=0,x,dp;
matrix M[3][3]=3,2,1,0,2,1,0,0,3;
print(M);
==> 3,2,1,
==> 0,2,1,
==> 0,0,3
jordan(M);
==> [1]:
==> _[1]=2
==> _[2]=3
==> [2]:
==> 1,2
==> [3]:
==> 1,1
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