h.mfunc

来自「强大的数学工具包」· MFUNC 代码 · 共 76 行

                                * * * * * * *
                                *   mfunc   *
                                * * * * * * *

        Matrices are entered in the following way:
        "{{a11, ... , a1m} {a21, ... , a2m} ... {an1, ... , anm}}"
        n,m>0.

        The following functions are available for matrices:

        +           ==          chpol       gftopol      nftopol
        -           !=          denom       herm         num
        *                       det         linequ       puto
        ^                       dmconstr    mcoef        rk
        /                       eival       minor        trace
                                elform      mod          transp
                                elsubst     mtoi         zmconstr


        '+'             means   addition;

        '-'                     subtraction;

        '*'                     multiplication;

        '^'                     exponentiation;

        '/'                     division;

        '=='                    equal;

        '!='                    not equal;

        'chpol'                 characteristic polynomial;

        'denom'                 denominator;

        'det'                   determinant;

        'dmconstr'              diagonal matrix construction;

        'eival'                 eigenvalues and irreducible factors of the 
                                characteristic polynomial;

        'elform'                elementary divisor form and cofactors;

        'elsubst'               element substitution in matrices or vectors;

        'gftopol'               Galois-field to polynomial;

        'herm'                  Hermite normal form;
 
        'linequ'                solution of a system of linear equations;

        'mcoef'                 matrix coefficient;

        'minor'                 minor matrix;

        'mod'                   module homomorphism;

        'mtoi'                  modular to integer;

        'nftopol'               number field to polynomial;

        'num'                   numerator;

        'puto'                  display internal representation;

        'rk'                    rank;

        'trace'                 trace;

        'transp'                transpose;

        'zmconstr'              zero matrix construction.