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D.3.2.18 eigenvals
Procedure from library linalg.lib (see linalg_lib).
- Usage:
- eigenvals(M); matrix M
- Assume:
- eigenvalues of M in basefield
- Return:
| list l;
ideal l[1];
number l[1][i]; i-th eigenvalue of M
intvec l[2];
int l[2][i]; multiplicity of i-th eigenvalue 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
eigenvals(M);
==> [1]:
==> _[1]=2
==> _[2]=3
==> [2]:
==> 1,2
| See also:
eigenvals;
system.
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