Symbolic Jordan Decomposition

Discussion in 'Symbolic Algebra' started by Leslaw Bieniasz, Jan 4, 2012.

  1. Hi,

    Some computer algebra programs have built-in 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 Bieniasz, Jan 4, 2012
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