[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:

SuperClass:

Included Modules:

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:

Methods:

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