MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures
sy/hesv: Solves Ax = b using symmetric/Hermitian indefinite factorization - no pivoting (driver)

## Functions

magma_int_t magma_chesv_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)
CHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices. More...

magma_int_t magma_dsysv_nopiv_gpu (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaDouble_ptr dA, magma_int_t ldda, magmaDouble_ptr dB, magma_int_t lddb, magma_int_t *info)
DSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices. More...

magma_int_t magma_ssysv_nopiv_gpu (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaFloat_ptr dA, magma_int_t ldda, magmaFloat_ptr dB, magma_int_t lddb, magma_int_t *info)
SSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices. More...

magma_int_t magma_zhesv_nopiv_gpu (magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magma_int_t *info)
ZHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices. More...

## Function Documentation

 magma_int_t magma_chesv_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 )

CHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as The factorization has the form A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

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,out] dA COMPLEX array, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored. [in] ldda INTEGER The leading dimension of the array A. ldda >= max(1,n). [in,out] dB COMPLEX array, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X. [in] lddb INTEGER The leading dimension of the array B. lddb >= max(1,n). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
 magma_int_t magma_dsysv_nopiv_gpu ( magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaDouble_ptr dA, magma_int_t ldda, magmaDouble_ptr dB, magma_int_t lddb, magma_int_t * info )

DSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as The factorization has the form A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

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,out] dA DOUBLE PRECISION array, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored. [in] ldda INTEGER The leading dimension of the array A. ldda >= max(1,n). [in,out] dB DOUBLE PRECISION array, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X. [in] lddb INTEGER The leading dimension of the array B. lddb >= max(1,n). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
 magma_int_t magma_ssysv_nopiv_gpu ( magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaFloat_ptr dA, magma_int_t ldda, magmaFloat_ptr dB, magma_int_t lddb, magma_int_t * info )

SSYSV solves a system of linear equations A * X = B where A is an n-by-n symmetric matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as The factorization has the form A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

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,out] dA REAL array, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored. [in] ldda INTEGER The leading dimension of the array A. ldda >= max(1,n). [in,out] dB REAL array, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X. [in] lddb INTEGER The leading dimension of the array B. lddb >= max(1,n). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
 magma_int_t magma_zhesv_nopiv_gpu ( magma_uplo_t uplo, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDoubleComplex_ptr dB, magma_int_t lddb, magma_int_t * info )

ZHESV solves a system of linear equations A * X = B where A is an n-by-n Hermitian matrix and X and B are n-by-nrhs matrices.

The LU decomposition with no pivoting is used to factor A as The factorization has the form A = U^H * D * U, if UPLO = MagmaUpper, or A = L * D * L^H, if UPLO = MagmaLower, where U is an upper triangular matrix, L is lower triangular, and D is a diagonal matrix. The factored form of A is then used to solve the system of equations A * X = B.

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,out] dA COMPLEX_16 array, dimension (ldda,n). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = L*U; the unit diagonal elements of L are not stored. [in] ldda INTEGER The leading dimension of the array A. ldda >= max(1,n). [in,out] dB COMPLEX_16 array, dimension (lddb,nrhs) On entry, the right hand side matrix B. On exit, the solution matrix X. [in] lddb INTEGER The leading dimension of the array B. lddb >= max(1,n). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value