symmetric single-complex precision
[Symmetric indefinite solve: computational]

Functions

magma_int_t magma_csytrf_nopiv_gpu (magma_uplo_t uplo, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *info)
 Purpose =======.
magma_int_t magma_csytrs_nopiv_gpu (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaFloatComplex_ptr dA, magma_int_t ldda, magmaFloatComplex_ptr dB, magma_int_t lddb, magma_int_t *info)
 Solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**H or A = L*D*L**T computed by CSYTRF_NOPIV_GPU.

Function Documentation

magma_int_t magma_csytrf_nopiv_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  info 
)

Purpose =======.

CSYTRF_nopiv_gpu computes the LDLt factorization of a complex symmetric matrix A.

The factorization has the form A = U^T * D * U , if UPLO = 'U', or A = L * D * L^T, if UPLO = 'L', where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix.

This is the block version of the algorithm, calling Level 3 BLAS.

Parameters:
[in] UPLO CHARACTER*1

  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.
[in] N INTEGER The order of the matrix A. N >= 0.
[in,out] dA COMPLEX array on the GPU, dimension (LDA,N) On entry, the symmetric matrix A. If UPLO = 'U', 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 = 'L', 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 D U or A = L D L^H.
Higher performance is achieved if A is in pinned memory, e.g. allocated using cudaMallocHost.
[in] LDA INTEGER The leading dimension of the array A. LDA >= max(1,N).
[out] INFO INTEGER

  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value if INFO = -6, the GPU memory allocation failed
  • > 0: if INFO = i, the leading minor of order i is not positive definite, and the factorization could not be completed.
magma_int_t magma_csytrs_nopiv_gpu ( magma_uplo_t  uplo,
magma_int_t  n,
magma_int_t  nrhs,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magmaFloatComplex_ptr  dB,
magma_int_t  lddb,
magma_int_t *  info 
)

Solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**H or A = L*D*L**T computed by CSYTRF_NOPIV_GPU.

Parameters:
[in] uplo magma_uplo_t

  • = MagmaUpper: Upper triangle of A is stored;
  • = MagmaLower: Lower triangle of A is stored.
[in] n INTEGER The order of the matrix A. N >= 0.
[in] nrhs INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
[in] dA COMPLEX array on the GPU, dimension (LDA,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF_NOPIV_GPU.
[in] ldda INTEGER The leading dimension of the array A. LDA >= max(1,N).

param[in,out] dB COMPLEX array on the GPU, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.

Parameters:
[in] lddb INTEGER The leading dimension of the array B. LDB >= max(1,N).
[out] info INTEGER

  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

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