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Algebra::ElementaryDivisor

(Elementary Divisor Module)

Module to get the elementary divisors of the matrix of polynomial. This is
included by the class Algebra::MatrixAlgebra.

File Name:

 ¡¦ elementary-divisor.rb

Included Modules:

none.

Associated Functions:

Algebra::MatrixAlgebra#i2o
    Converts the matrix of polynomials into the polynomial of matrices.
   
Algebra::MatrixAlgebra#e_deg
    Returns the max degree of the matrix of polynomials.
   

Class Methods:

::factorize(ary)
    Returns the array of the factors (instances of Algebra::Factors),
    factorizing the each entries of the array ary of the elementary divisors of
    a matrix.
   

Methods:

e_diagonalize!
    Deforms to the diagonal matrix of the elementary divisors. If can't, raise
    an error.
   
e_diagonalize
    Same as dup.e_diagonalize!.
   
elementary_divisor
    Returns the array of the elementary divisors.
   
e_inverse
    Returns the inverse matrix of the matrix over Euclidian ring. If can't,
    raise an error.
   

