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D.3.2.21 jordan

Procedure from library linalg.lib (see section 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

Example:

LIB "linalg.lib";
ring R=0,x,dp;
matrix M[3][3]=3,2,1,0,2,1,0,0,3;
print(M);
jordan(M);

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            User manual for Singular version 2-0-4, October 2002, generated by texinfo.