The HEEV functions compute the eigenvalues and optionally the eigenvectors of a Hermitian matrix A.
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| integer(c_int) function | rocsolver_cheev_ (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_rank_0 (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_rank_0_devptr (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_rank_1 (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_rank_1_devptr (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_full_rank (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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| integer(kind(rocblas_status_success)) function | rocsolver_cheev_full_rank_devptr (handle, evect, uplo, n, a, lda, d, e, myinfo) |
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The HEEV functions compute the eigenvalues and optionally the eigenvectors of a Hermitian matrix A.
- Note
- The
_64 interface accepts int64_t arguments, but the matrix dimensions n and lda must still fit within a 32-bit integer (less than 2^31). The internal tridiagonal reduction and back-transformation steps remain 32-bit, which bounds the supported size.
The eigenvalues are returned in ascending order. The eigenvectors are computed depending on the value of evect. The computed eigenvectors are orthonormal.
- Parameters
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| [in] | handle | - rocblas_handle. |
| [in] | evect | - rocblas_evect. Specifies whether the eigenvectors are to be computed. If evect is rocblas_evect_original, then the eigenvectors are computed. rocblas_evect_tridiagonal is not supported. |
| [in] | uplo | - rocblas_fill. Specifies whether the upper or lower part of the Hermitian matrix A is stored. If uplo indicates lower (or upper), then the upper (or lower) part of A is not used. |
| [in] | n | - rocblas_int. n >= 0. Number of rows and columns of matrix A. |
| [in,out] | A | - pointer to type. Array on the GPU of dimension lda*n. On entry, the matrix A. On exit, the eigenvectors of A if they were computed and the algorithm converged. Otherwise, the contents of A are destroyed. |
| [in] | lda | - rocblas_int. lda >= n. Specifies the leading dimension of matrix A. |
| [out] | D | - pointer to real type. Array on the GPU of dimension n. The eigenvalues of A in increasing order. |
| [out] | E | - pointer to real type. Array on the GPU of dimension n. This array is used to work internally with the tridiagonal matrix T associated with A. On exit, if info > 0, it contains the unconverged off-diagonal elements of T (or properly speaking, a tridiagonal matrix equivalent to T). The diagonal elements of this matrix are in D. Those that converged correspond to a subset of the eigenvalues of A (not necessarily ordered). |
| [out] | myInfo | - pointer to a rocblas_int on the GPU. If info = 0, successful exit. If info = i > 0, the algorithm did not converge. i elements of E did not converge to zero. |
◆ rocsolver_cheev_()
| integer(c_int) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_ |
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type(c_ptr), value |
handle, |
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integer(c_int), value |
evect, |
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integer(c_int), value |
uplo, |
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integer(c_int), value |
n, |
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type(c_ptr), value |
a, |
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integer(c_int), value |
lda, |
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type(c_ptr), value |
d, |
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type(c_ptr), value |
e, |
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type(c_ptr), value |
myinfo |
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) |
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◆ rocsolver_cheev_full_rank()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_full_rank |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), dimension(:,:), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), dimension(:), target |
d, |
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real(c_float), dimension(:), target |
e, |
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integer(c_int), target |
myinfo |
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) |
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◆ rocsolver_cheev_full_rank_devptr()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_full_rank_devptr |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), dimension(:,:), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), dimension(:), target |
d, |
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real(c_float), dimension(:), target |
e, |
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type(c_ptr), value |
myinfo |
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) |
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◆ rocsolver_cheev_rank_0()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_rank_0 |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), target |
d, |
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real(c_float), target |
e, |
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integer(c_int), target |
myinfo |
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) |
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◆ rocsolver_cheev_rank_0_devptr()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_rank_0_devptr |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), target |
d, |
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real(c_float), target |
e, |
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type(c_ptr), value |
myinfo |
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) |
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◆ rocsolver_cheev_rank_1()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_rank_1 |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), dimension(:), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), dimension(:), target |
d, |
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real(c_float), dimension(:), target |
e, |
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integer(c_int), target |
myinfo |
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) |
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◆ rocsolver_cheev_rank_1_devptr()
| integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cheev::rocsolver_cheev_rank_1_devptr |
( |
type(c_ptr), value |
handle, |
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integer(kind(rocblas_evect_original)) |
evect, |
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integer(kind(rocblas_fill_upper)) |
uplo, |
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integer(c_int) |
n, |
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complex(c_float_complex), dimension(:), target |
a, |
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integer(c_int) |
lda, |
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real(c_float), dimension(:), target |
d, |
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real(c_float), dimension(:), target |
e, |
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type(c_ptr), value |
myinfo |
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) |
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The documentation for this interface was generated from the following file: