MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
 All Classes Files Functions Friends Groups Pages
potf2: Cholesky panel factorization

Functions

magma_int_t magma_cpotf2_gpu (magma_uplo_t uplo, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_queue_t queue, magma_int_t *info)
 cpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A. More...
 
magma_int_t magma_dpotf2_gpu (magma_uplo_t uplo, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_queue_t queue, magma_int_t *info)
 dpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A. More...
 
magma_int_t magma_spotf2_gpu (magma_uplo_t uplo, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_queue_t queue, magma_int_t *info)
 spotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A. More...
 
magma_int_t magma_zpotf2_gpu (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_queue_t queue, magma_int_t *info)
 zpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A. More...
 

Detailed Description

Function Documentation

magma_int_t magma_cpotf2_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magma_queue_t  queue,
magma_int_t *  info 
)

cpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A.

The factorization has the form A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is lower triangular.

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters
[in]uplomagma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is stored.
  • = MagmaUpper: Upper triangular
  • = MagmaLower: Lower triangular
[in]nINTEGER The order of the matrix A. N >= 0 and N <= 512.
[in,out]dACOMPLEX array, dimension (LDDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**H * U or A = L * L**H.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]queuemagma_queue_t Queue to execute in.
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value
  • > 0: if INFO = k, the leading minor of order k is not positive definite, and the factorization could not be completed.
magma_int_t magma_dpotf2_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magmaDouble_ptr  dA,
magma_int_t  ldda,
magma_queue_t  queue,
magma_int_t *  info 
)

dpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A.

The factorization has the form A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is lower triangular.

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters
[in]uplomagma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is stored.
  • = MagmaUpper: Upper triangular
  • = MagmaLower: Lower triangular
[in]nINTEGER The order of the matrix A. N >= 0 and N <= 512.
[in,out]dADOUBLE PRECISION array, dimension (LDDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**H * U or A = L * L**H.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]queuemagma_queue_t Queue to execute in.
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value
  • > 0: if INFO = k, the leading minor of order k is not positive definite, and the factorization could not be completed.
magma_int_t magma_spotf2_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magmaFloat_ptr  dA,
magma_int_t  ldda,
magma_queue_t  queue,
magma_int_t *  info 
)

spotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A.

The factorization has the form A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is lower triangular.

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters
[in]uplomagma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is stored.
  • = MagmaUpper: Upper triangular
  • = MagmaLower: Lower triangular
[in]nINTEGER The order of the matrix A. N >= 0 and N <= 512.
[in,out]dAREAL array, dimension (LDDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**H * U or A = L * L**H.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]queuemagma_queue_t Queue to execute in.
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value
  • > 0: if INFO = k, the leading minor of order k is not positive definite, and the factorization could not be completed.
magma_int_t magma_zpotf2_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magmaDoubleComplex_ptr  dA,
magma_int_t  ldda,
magma_queue_t  queue,
magma_int_t *  info 
)

zpotf2 computes the Cholesky factorization of a real symmetric positive definite matrix A.

The factorization has the form A = U**H * U, if UPLO = MagmaUpper, or A = L * L**H, if UPLO = MagmaLower, where U is an upper triangular matrix and L is lower triangular.

This is the unblocked version of the algorithm, calling Level 2 BLAS.

Parameters
[in]uplomagma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is stored.
  • = MagmaUpper: Upper triangular
  • = MagmaLower: Lower triangular
[in]nINTEGER The order of the matrix A. N >= 0 and N <= 512.
[in,out]dACOMPLEX_16 array, dimension (LDDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**H * U or A = L * L**H.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,N).
[in]queuemagma_queue_t Queue to execute in.
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value
  • > 0: if INFO = k, the leading minor of order k is not positive definite, and the factorization could not be completed.