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Symbolic Jordan Decomposition
Posted:
Jan 4, 2012 7:32 AM


Hi,
Some computer algebra programs have builtin functions for computing the Jordan normal form of a matrix. For example, MATHEMATICA has the function JordanDecompose[], MATLAB has Jordan(). Most importantly, these functions can work on matrices given in a symbolic way (matrix entries represented by symbols, not concrete numbers). My question is: what kind of algorithms is implemented in these functions in the symbolic mode of operation? I would appreciate pointers to the relevant mathematical literature describing the algorithms.
Leslaw



