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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:

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.