2.3 KiB
FactorizationLQ
Computes the LQ factorization of a general m-by-n matrix: A = L * Q. LAPACK function GELQF.
Computing for type matrix
bool matrix::FactorizationLQ(
bool reduced, // calculation mode reduced or complete
matrix& L, // lower triangular matrix L
matrix& Q // orthogonal matrix Q
);
Computing for type matrix
bool matrix::FactorizationLQ(
bool reduced, // calculation mode reduced or complete
matrixf& L, // lower triangular matrix L
matrixf& Q // orthogonal matrix Q
);
Computing for type matrix
bool matrix::FactorizationLQ(
bool reduced, // calculation mode reduced or complete
matrixc& L, // lower triangular matrix L
matrixc& Q // unitary matrix Q
);
Computing for type matrix
bool matrix::FactorizationLQ(
bool reduced, // calculation mode reduced or complete
matrixcf& L, // lower triangular matrix L
matrixcf& Q // unitary matrix Q
);
Parameters
reduced
[in] Calculation mode. If reduced is true then matrices L, Q calculated with reduced dimensions (M, K), (K, N). If reduced is false it means complete calculation of matrices L, Q with dimensions (M,N), (N,N).
L
[out] Lower triangular matrix L.
Q
[out] Orthogonal or unitary matrix Q.
Return Value
Return true if successful, otherwise false in case of an error.
Note
If reduced is true
If m <= n, matrix L is of m-by-m sizes, matrix Q is of m-by-n sizes.
If m > n, matrix L is of m-by-n sizes, matrix Q is of n-by-n sizes.
If reduced is false, matrix L is of m-by-n sizes, matrix Q is of n-by-n sizes.