MAGMA
2.3.0
Matrix Algebra for GPU and Multicore Architectures

1, Frobenius, or Infinity norm; or largest element More...
Functions  
float  magmablas_clanhe (magma_norm_t norm, magma_uplo_t uplo, magma_int_t n, magmaFloatComplex_const_ptr dA, magma_int_t ldda, magmaFloat_ptr dwork, magma_int_t lwork, magma_queue_t queue) 
CLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A. More...  
double  magmablas_dlansy (magma_norm_t norm, magma_uplo_t uplo, magma_int_t n, magmaDouble_const_ptr dA, magma_int_t ldda, magmaDouble_ptr dwork, magma_int_t lwork, magma_queue_t queue) 
DLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix A. More...  
float  magmablas_slansy (magma_norm_t norm, magma_uplo_t uplo, magma_int_t n, magmaFloat_const_ptr dA, magma_int_t ldda, magmaFloat_ptr dwork, magma_int_t lwork, magma_queue_t queue) 
SLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix A. More...  
double  magmablas_zlanhe (magma_norm_t norm, magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDouble_ptr dwork, magma_int_t lwork, magma_queue_t queue) 
ZLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A. More...  
1, Frobenius, or Infinity norm; or largest element
float magmablas_clanhe  (  magma_norm_t  norm, 
magma_uplo_t  uplo,  
magma_int_t  n,  
magmaFloatComplex_const_ptr  dA,  
magma_int_t  ldda,  
magmaFloat_ptr  dwork,  
magma_int_t  lwork,  
magma_queue_t  queue  
) 
CLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A.
CLANHE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
On error, returns CLANHE < 0: if CLANHE = i, the ith argument had an illegal value.
[in]  norm  magma_norm_t Specifies the value to be returned in CLANHE as described above. 
[in]  uplo  magma_uplo_t Specifies whether the upper or lower triangular part of the Hermitian matrix A is to be referenced.

[in]  n  INTEGER The order of the matrix A. N >= 0. When N = 0, CLANHE is set to zero. 
[in]  dA  COMPLEX array on the GPU, dimension (LDDA,N) The Hermitian 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 
[in]  ldda  INTEGER The leading dimension of the array A. LDDA >= max(N,1). 
dwork  (workspace) REAL array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= N. NOTE: this is different than LAPACK, where WORK is required only for norm1 and normI. Here maxnorm also requires WORK.  
[in]  lwork  INTEGER The dimension of the array DWORK. LWORK >= max( 1, N ). 
[in]  queue  magma_queue_t Queue to execute in. 
double magmablas_dlansy  (  magma_norm_t  norm, 
magma_uplo_t  uplo,  
magma_int_t  n,  
magmaDouble_const_ptr  dA,  
magma_int_t  ldda,  
magmaDouble_ptr  dwork,  
magma_int_t  lwork,  
magma_queue_t  queue  
) 
DLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix A.
DLANSY = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
On error, returns DLANSY < 0: if DLANSY = i, the ith argument had an illegal value.
[in]  norm  magma_norm_t Specifies the value to be returned in DLANSY as described above. 
[in]  uplo  magma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced.

[in]  n  INTEGER The order of the matrix A. N >= 0. When N = 0, DLANSY is set to zero. 
[in]  dA  DOUBLE PRECISION array on the GPU, dimension (LDDA,N) 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 
[in]  ldda  INTEGER The leading dimension of the array A. LDDA >= max(N,1). 
dwork  (workspace) DOUBLE PRECISION array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= N. NOTE: this is different than LAPACK, where WORK is required only for norm1 and normI. Here maxnorm also requires WORK.  
[in]  lwork  INTEGER The dimension of the array DWORK. LWORK >= max( 1, N ). 
[in]  queue  magma_queue_t Queue to execute in. 
float magmablas_slansy  (  magma_norm_t  norm, 
magma_uplo_t  uplo,  
magma_int_t  n,  
magmaFloat_const_ptr  dA,  
magma_int_t  ldda,  
magmaFloat_ptr  dwork,  
magma_int_t  lwork,  
magma_queue_t  queue  
) 
SLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix A.
SLANSY = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
On error, returns SLANSY < 0: if SLANSY = i, the ith argument had an illegal value.
[in]  norm  magma_norm_t Specifies the value to be returned in SLANSY as described above. 
[in]  uplo  magma_uplo_t Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced.

[in]  n  INTEGER The order of the matrix A. N >= 0. When N = 0, SLANSY is set to zero. 
[in]  dA  REAL array on the GPU, dimension (LDDA,N) 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 
[in]  ldda  INTEGER The leading dimension of the array A. LDDA >= max(N,1). 
dwork  (workspace) REAL array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= N. NOTE: this is different than LAPACK, where WORK is required only for norm1 and normI. Here maxnorm also requires WORK.  
[in]  lwork  INTEGER The dimension of the array DWORK. LWORK >= max( 1, N ). 
[in]  queue  magma_queue_t Queue to execute in. 
double magmablas_zlanhe  (  magma_norm_t  norm, 
magma_uplo_t  uplo,  
magma_int_t  n,  
magmaDoubleComplex_const_ptr  dA,  
magma_int_t  ldda,  
magmaDouble_ptr  dwork,  
magma_int_t  lwork,  
magma_queue_t  queue  
) 
ZLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A.
ZLANHE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm ** not yet supported
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
On error, returns ZLANHE < 0: if ZLANHE = i, the ith argument had an illegal value.
[in]  norm  magma_norm_t Specifies the value to be returned in ZLANHE as described above. 
[in]  uplo  magma_uplo_t Specifies whether the upper or lower triangular part of the Hermitian matrix A is to be referenced.

[in]  n  INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANHE is set to zero. 
[in]  dA  COMPLEX*16 array on the GPU, dimension (LDDA,N) The Hermitian 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. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 
[in]  ldda  INTEGER The leading dimension of the array A. LDDA >= max(N,1). 
dwork  (workspace) DOUBLE PRECISION array on the GPU, dimension (MAX(1,LWORK)), where LWORK >= N. NOTE: this is different than LAPACK, where WORK is required only for norm1 and normI. Here maxnorm also requires WORK.  
[in]  lwork  INTEGER The dimension of the array DWORK. LWORK >= max( 1, N ). 
[in]  queue  magma_queue_t Queue to execute in. 