Visible to Intel only — GUID: GUID-13237152-FC00-4E7F-B378-E2D4963FC1BF
Visible to Intel only — GUID: GUID-13237152-FC00-4E7F-B378-E2D4963FC1BF
?unmql
Multiplies a complex matrix by the unitary matrix Q of the QL factorization formed by ?geqlf.
lapack_int LAPACKE_cunmql (int matrix_layout, char side, char trans, lapack_int m, lapack_int n, lapack_int k, const lapack_complex_float* a, lapack_int lda, const lapack_complex_float* tau, lapack_complex_float* c, lapack_int ldc);
lapack_int LAPACKE_zunmql (int matrix_layout, char side, char trans, lapack_int m, lapack_int n, lapack_int k, const lapack_complex_double* a, lapack_int lda, const lapack_complex_double* tau, lapack_complex_double* c, lapack_int ldc);
- mkl.h
The routine multiplies a complex m-by-n matrix C by Q or QH, where Q is the unitary matrix Q of the QL factorization formed by the routine geqlf.
Depending on the parameters side and trans, the routine unmql can form one of the matrix products Q*C, QH*C, C*Q, or C*QH (overwriting the result over C).
- matrix_layout
-
Specifies whether matrix storage layout is row major (LAPACK_ROW_MAJOR) or column major (LAPACK_COL_MAJOR).
- side
-
Must be either 'L' or 'R'.
If side = 'L', Q or QH is applied to C from the left.
If side = 'R', Q or QH is applied to C from the right.
- trans
-
Must be either 'N' or 'C'.
If trans = 'N', the routine multiplies C by Q.
If trans = 'C', the routine multiplies C by QH.
- m
-
The number of rows in the matrix C (m≥ 0).
- n
-
The number of columns in C (n≥ 0).
- k
-
The number of elementary reflectors whose product defines the matrix Q. Constraints:
0 ≤k≤m if side = 'L';
0 ≤k≤n if side = 'R'.
- a, tau, c
-
Arrays: a, tau, c.
The size of a must be:
For column major layout regardless of side, max(1, lda*k).
For side = 'L' and row major layout, max(1, lda*m).
For side = 'R' and row major layout, max(1, lda*n).
On entry, the i-th column of a must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by cgeqlf/zgeqlf in the last k columns of its array argument a.
tau[i - 1] must contain the scalar factor of the elementary reflector H(i), as returned by cgeqlf/zgeqlf.
The size of tau must be at least max(1, k).
c(size max(1, ldc*n) for column major layout and max(1, ldc*m for row major layout) contains the m-by-n matrix C.
- lda
-
The leading dimension of a.
If side = 'L', lda≥ max(1, m)for column major layout and max(1, k) for row major layout.
If side = 'R', lda≥ max(1, n)for column major layout and max(1, k) for row major layout.
- ldc
-
The leading dimension of c; ldc≥ max(1, m)for column major layout and max(1, n) for row major layout.
- c
-
Overwritten by the product Q*C, QH*C, C*Q, or C*QH (as specified by side and trans).
This function returns a value info.
If info=0, the execution is successful.
If info = -i, the i-th parameter had an illegal value.
The real counterpart of this routine is ormql.