
[index] Algebra::MatrixAlgebraTriplet / Algebra::MatrixAlgebraQuint

Algebra::MatrixAlgebraTriplet

(Class of Triplet of matrices)

This is the class of the matrix and the records of the right and left
elementary diformations on it. There is a subclass of the quintet of matrices (
Algebra::MatrixAlgebraQuint).

File Name:

 ¡¦ matrix-algebra-triplet.rb

SuperClass:

 ¡¦ Object

Included Modules:

 ¡¦ GaussianElimination
 ¡¦ ElementaryDivisor

Class Methods:

:new(matrix[, left[, right]])
    Creates the triplet object of matrix as the body, left as the record of the
    left(row) deformation and right as the record ofthe right(column)
    deformation.
   

Methods:

body
    Returns the body.
   
left
    Returns left as the record of the left(row) deformation.
   
right
    Returns right as the record ofthe right(column) deformation.
   
to_a
    Retruns the array of [body, left, right].
   
to_ary
    Same as to_a.
   
dup
    Returns the duplicate of self.
   
transpose
    Returns the transpose of self. Same as
    [type.new(body.transpose, right.transpose, left.transpose].
   
replace(other)
    Replaces self to other.
   
display
    Displays self
   
[i, j]
    Returns the componetnt of (i, j).
   
rsize
    Returns the row size.
   
csize
    Return the column size.
   
each_i
    Iterates for the row index.
   
each_j
    Iterates for the column index.
   
row!(i)
    Retunrs the i -th row.
   
sswap_r!(i, j)
swap_r!(i, j)
swap_c!(i, j)
multiply_r!(i, c)
multiply_c!(j, c)
divide_r!(i, c)
divide_c!(j, c)
mix_r!(i, j[, c])
mix_c!(i, j[, c])
left_eliminate!
    Refer Algebra::GauusianElimination.
   

Algebra::MatrixAlgebraQuint

(Class of Quintet of matrices)

This is the class of the matrix and the records of the right and left
elementary diformations on it and the reverses of them. There is a superclass
of the triplet of matrices (Algebra::MatrixAlgebraTriplet).

SuperClass:

 ¡¦ Algebra:MatrixAlgebraTriplet

Methods:

lefti
    Returns the inverse of left.
   
righti
    Returns the inverse of right.
   
to_a
    Reutrns [body, left, right, lefti, righti].
   

