![]() |
MAGMA
1.6.1
Matrix Algebra for GPU and Multicore Architectures
|
Functions | |
magma_int_t | magma_dgeev (magma_vec_t jobvl, magma_vec_t jobvr, magma_int_t n, double *A, magma_int_t lda, double *wr, double *wi, double *VL, magma_int_t ldvl, double *VR, magma_int_t ldvr, double *work, magma_int_t lwork, magma_int_t *info) |
DGEEV computes for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. More... | |
magma_int_t | magma_dgeev_m (magma_vec_t jobvl, magma_vec_t jobvr, magma_int_t n, double *A, magma_int_t lda, double *wr, double *wi, double *VL, magma_int_t ldvl, double *VR, magma_int_t ldvr, double *work, magma_int_t lwork, magma_int_t *info) |
DGEEV computes for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. More... | |
magma_int_t magma_dgeev | ( | magma_vec_t | jobvl, |
magma_vec_t | jobvr, | ||
magma_int_t | n, | ||
double * | A, | ||
magma_int_t | lda, | ||
double * | wr, | ||
double * | wi, | ||
double * | VL, | ||
magma_int_t | ldvl, | ||
double * | VR, | ||
magma_int_t | ldvr, | ||
double * | work, | ||
magma_int_t | lwork, | ||
magma_int_t * | info | ||
) |
DGEEV computes for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors.
The right eigenvector v(j) of A satisfies A * v(j) = lambda(j) * v(j) where lambda(j) is its eigenvalue. The left eigenvector u(j) of A satisfies u(j)**T * A = lambda(j) * u(j)**T where u(j)**T denotes the transpose of u(j).
The computed eigenvectors are normalized to have Euclidean norm equal to 1 and largest component real.
[in] | jobvl | magma_vec_t
|
[in] | jobvr | magma_vec_t
|
[in] | n | INTEGER The order of the matrix A. N >= 0. |
[in,out] | A | DOUBLE PRECISION array, dimension (LDA,N) On entry, the N-by-N matrix A. On exit, A has been overwritten. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
[out] | wr | DOUBLE PRECISION array, dimension (N) |
[out] | wi | DOUBLE PRECISION array, dimension (N) WR and WI contain the real and imaginary parts, respectively, of the computed eigenvalues. Complex conjugate pairs of eigenvalues appear consecutively with the eigenvalue having the positive imaginary part first. |
[out] | VL | DOUBLE PRECISION array, dimension (LDVL,N) If JOBVL = MagmaVec, the left eigenvectors u(j) are stored one after another in the columns of VL, in the same order as their eigenvalues. If JOBVL = MagmaNoVec, VL is not referenced. u(j) = VL(:,j), the j-th column of VL. |
[in] | ldvl | INTEGER The leading dimension of the array VL. LDVL >= 1; if JOBVL = MagmaVec, LDVL >= N. |
[out] | VR | DOUBLE PRECISION array, dimension (LDVR,N) If JOBVR = MagmaVec, the right eigenvectors v(j) are stored one after another in the columns of VR, in the same order as their eigenvalues. If JOBVR = MagmaNoVec, VR is not referenced. v(j) = VR(:,j), the j-th column of VR. |
[in] | ldvr | INTEGER The leading dimension of the array VR. LDVR >= 1; if JOBVR = MagmaVec, LDVR >= N. |
[out] | work | (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK. |
[in] | lwork | INTEGER The dimension of the array WORK. LWORK >= (2+nb)*N. For optimal performance, LWORK >= (2+2*nb)*N. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. |
[out] | info | INTEGER
|
magma_int_t magma_dgeev_m | ( | magma_vec_t | jobvl, |
magma_vec_t | jobvr, | ||
magma_int_t | n, | ||
double * | A, | ||
magma_int_t | lda, | ||
double * | wr, | ||
double * | wi, | ||
double * | VL, | ||
magma_int_t | ldvl, | ||
double * | VR, | ||
magma_int_t | ldvr, | ||
double * | work, | ||
magma_int_t | lwork, | ||
magma_int_t * | info | ||
) |
DGEEV computes for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors.
The right eigenvector v(j) of A satisfies A * v(j) = lambda(j) * v(j) where lambda(j) is its eigenvalue. The left eigenvector u(j) of A satisfies u(j)**T * A = lambda(j) * u(j)**T where u(j)**T denotes the transpose of u(j).
The computed eigenvectors are normalized to have Euclidean norm equal to 1 and largest component real.
[in] | jobvl | magma_vec_t
|
[in] | jobvr | magma_vec_t
|
[in] | n | INTEGER The order of the matrix A. N >= 0. |
[in,out] | A | DOUBLE PRECISION array, dimension (LDA,N) On entry, the N-by-N matrix A. On exit, A has been overwritten. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
[out] | wr | DOUBLE PRECISION array, dimension (N) |
[out] | wi | DOUBLE PRECISION array, dimension (N) WR and WI contain the real and imaginary parts, respectively, of the computed eigenvalues. Complex conjugate pairs of eigenvalues appear consecutively with the eigenvalue having the positive imaginary part first. |
[out] | VL | DOUBLE PRECISION array, dimension (LDVL,N) If JOBVL = MagmaVec, the left eigenvectors u(j) are stored one after another in the columns of VL, in the same order as their eigenvalues. If JOBVL = MagmaNoVec, VL is not referenced. u(j) = VL(:,j), the j-th column of VL. |
[in] | ldvl | INTEGER The leading dimension of the array VL. LDVL >= 1; if JOBVL = MagmaVec, LDVL >= N. |
[out] | VR | DOUBLE PRECISION array, dimension (LDVR,N) If JOBVR = MagmaVec, the right eigenvectors v(j) are stored one after another in the columns of VR, in the same order as their eigenvalues. If JOBVR = MagmaNoVec, VR is not referenced. v(j) = VR(:,j), the j-th column of VR. |
[in] | ldvr | INTEGER The leading dimension of the array VR. LDVR >= 1; if JOBVR = MagmaVec, LDVR >= N. |
[out] | work | (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) On exit, if INFO = 0, WORK[0] returns the optimal LWORK. |
[in] | lwork | INTEGER The dimension of the array WORK. LWORK >= (2+nb)*N. For optimal performance, LWORK >= (2+2*nb)*N. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. |
[out] | info | INTEGER
|