NAME
      Math::Matrix - Multiply and invert Matrices

DESCRIPTION
      The following methods are available:

      new

      Constructor arguments are a list of references to arrays
      of the same length.  The arrays are copied. The method
      returns undef in case of error.

              $a = new Math::Matrix ([rand,rand,rand],
                                     [rand,rand,rand],
                                     [rand,rand,rand]);


      concat

      Concatenates two matrices of same row count. The result is
      a new matrix or undef in case of error.

              $b = new Math::Matrix ([rand],[rand],[rand]);
              $c = $a->concat($b);


      transpose

      Returns the transposed matrix. This is the matrix where
      colums and rows of the argument matrix are swaped.

      multiply

      Multiplies two matrices where the length of the rows in
      the first matrix is the same as the length of the columns
      in the second matrix. Returns the product or undef in case
      of error.

      solve

      Solves a equation system given by the matrix. The number
      of colums must be greater than the number of rows. If
      variables are dependent from each other, the second and
      all further of the dependent coefficients are 0. This
      means the method can handle such systems. The method
      returns a matrix containing the solutions in its columns
      or undef in case of error.

      print

      Prints the matrix on STDOUT. If the method has additional
      parameters, these are printed before the matrix is
      printed.




10/Jul/96                     perl                              1





MATRIX(1)      User Contributed Perl Documentation      MATRIX(1)


EXAMPLE
              use Math::Matrix;

              srand(time);
              $a = new Math::Matrix ([rand,rand,rand],
                               [rand,rand,rand],
                               [rand,rand,rand]);
              $x = new Math::Matrix ([rand,rand,rand]);
              $a->print("A\n");
              $E = $a->concat($x->transpose);
              $E->print("Equation system\n");
              $s = $E->solve;
              $s->print("Solutions s\n");
              $a->multiply($s)->print("A*s\n");


AUTHOR
      Ulrich Pfeifer <[email protected]>







































10/Jul/96                     perl                              2