Fac_LQ
The Fac_LQ class provides methods to factor an 'm-by-n' matrix 'aa' into the product of two matrices, when m < n. 'l' - an 'm-by-m' left lower triangular matrix 'q' - an 'm-by-n' orthogonal matrix and such that 'aa = l * q'. Note, orthogonal means that 'q.t * q = I'.
Value parameters
- aa
-
the matrix to be factored into l and q
Attributes
- See also
-
Fac-QR - Graph
-
- Supertypes
Members list
Value members
Concrete methods
Factor matrix 'art' into the product of two matrices, 'art = qt * rt'. Then compute 'r' and 'q'.
Factor matrix 'art' into the product of two matrices, 'art = qt * rt'. Then compute 'r' and 'q'.
Attributes
- See also
Return the two factored matrices.
Return the two factored matrices.
Attributes
Efficient calculation of inverse matrix a^-1 from existing factorization. a * a^-1 = I
Efficient calculation of inverse matrix a^-1 from existing factorization. a * a^-1 = I
Attributes
Inherited methods
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the first matrix.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the first matrix.
Attributes
- Inherited from:
- Factorization
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t' or a = q * r, returning both the first and second matrices.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t' or a = q * r, returning both the first and second matrices.
Attributes
- Inherited from:
- Factorization
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the second matrix.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the second matrix.
Attributes
- Inherited from:
- Factorization
Return whether the matrix has been factored has aleady been factored.
Return whether the matrix has been factored has aleady been factored.
Attributes
- Inherited from:
- Factorization
Reset by setting factored to false.
Inherited fields
Flag indicating whether the matrix has been factored