MAGMA  1.5.0
Matrix Algebra for GPU and Multicore Architectures
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double-complex precision

Functions

magma_int_t magmablas_chemv_tesla (magma_uplo_t uplo, magma_int_t n, magmaFloatComplex alpha, const magmaFloatComplex *A, magma_int_t lda, const magmaFloatComplex *x, magma_int_t incx, magmaFloatComplex beta, magmaFloatComplex *y, magma_int_t incy)
 magmablas_chemv performs the matrix-vector operation: More...
 
void magmablas_zgemvn_fermi (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *x, magmaDoubleComplex beta, magmaDoubleComplex *y)
 This routine computes Y = alpha A x + beta y, on the GPU. More...
 
void magmablas_zgemvt_fermi (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *x, magmaDoubleComplex beta, magmaDoubleComplex *y)
 

Purpose

More...
 
void magmablas_zgemvc_fermi (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *x, magmaDoubleComplex beta, magmaDoubleComplex *y)
 

Purpose

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magma_int_t magmablas_zhemv (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *x, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex *y, magma_int_t incy)
 magmablas_zhemv performs the matrix-vector operation: More...
 
magma_int_t magmablas_zhemv_mgpu_offset (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex **A, magma_int_t lda, magmaDoubleComplex **x, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex **y, magma_int_t incy, magmaDoubleComplex **work, magma_int_t lwork, magma_int_t num_gpus, magma_int_t nb, magma_int_t offset, magma_queue_t stream[][10])
 magmablas_zhemv performs the matrix-vector operation: More...
 
magma_int_t magmablas_zsymv (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, const magmaDoubleComplex *A, magma_int_t lda, const magmaDoubleComplex *x, magma_int_t incx, magmaDoubleComplex beta, magmaDoubleComplex *y, magma_int_t incy)
 magmablas_zsymv performs the matrix-vector operation: More...
 

Detailed Description

Function Documentation

magma_int_t magmablas_chemv_tesla ( magma_uplo_t  uplo,
magma_int_t  n,
magmaFloatComplex  alpha,
const magmaFloatComplex *  A,
magma_int_t  lda,
const magmaFloatComplex *  x,
magma_int_t  incx,
magmaFloatComplex  beta,
magmaFloatComplex *  y,
magma_int_t  incy 
)

magmablas_chemv performs the matrix-vector operation:

y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and A is an n by n hermitian matrix.

Parameters
[in]uplomagma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
  • = MagmaUpper: Only the upper triangular part of A is to be referenced.
  • = MagmaLower: Only the lower triangular part of A is to be referenced.
[in]nINTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of DIMENSION ( LDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix 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]ldaINTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ). It is recommended that lda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent.
[in]xCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
[in]incxINTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
[in,out]yCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.
[in]incyINTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
void magmablas_zgemvc_fermi ( magma_int_t  m,
magma_int_t  n,
magmaDoubleComplex  alpha,
const magmaDoubleComplex *  A,
magma_int_t  lda,
const magmaDoubleComplex *  x,
magmaDoubleComplex  beta,
magmaDoubleComplex *  y 
)

Purpose

This routine computes y = alpha * A^H * x + beta*y, on the GPU.

Parameters
[in]mINTEGER. On entry, M specifies the number of rows of the matrix A.
[in]nINTEGER. On entry, N specifies the number of columns of the matrix A
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of dimension ( LDA, n ) on the GPU.
[in]ldaINTEGER. LDA specifies the leading dimension of A.
[in]xCOMPLEX*16 array of dimension m.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta.
[out]yCOMPLEX*16 array of dimension n. On exit Y = alpha A^H X + beta y.
void magmablas_zgemvn_fermi ( magma_int_t  m,
magma_int_t  n,
magmaDoubleComplex  alpha,
const magmaDoubleComplex *  A,
magma_int_t  lda,
const magmaDoubleComplex *  x,
magmaDoubleComplex  beta,
magmaDoubleComplex *  y 
)

This routine computes Y = alpha A x + beta y, on the GPU.

Parameters
[in]mINTEGER. On entry, M specifies the number of rows of the matrix A.
[in]nINTEGER. On entry, N specifies the number of columns of the matrix A
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of dimension ( LDA, n ) on the GPU.
[in]ldaINTEGER. LDA specifies the leading dimension of A.
[in]xCOMPLEX*16 array of dimension n.
[in]betaDOUBLE PRECISION. On entry, BETA specifies the scalar beta.
[out]yCOMPLEX*16 array of dimension n. On exit Y = alpha A X + beta Y.
void magmablas_zgemvt_fermi ( magma_int_t  m,
magma_int_t  n,
magmaDoubleComplex  alpha,
const magmaDoubleComplex *  A,
magma_int_t  lda,
const magmaDoubleComplex *  x,
magmaDoubleComplex  beta,
magmaDoubleComplex *  y 
)

Purpose

This routine computes y = alpha * A^T * x + beta*y, on the GPU.

Parameters
[in]mINTEGER. On entry, M specifies the number of rows of the matrix A.
[in]nINTEGER. On entry, N specifies the number of columns of the matrix A
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of dimension ( LDA, n ) on the GPU.
[in]ldaINTEGER. LDA specifies the leading dimension of A.
[in]xCOMPLEX*16 array of dimension m.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta.
[out]yCOMPLEX*16 array of dimension n. On exit Y = alpha A^T X + beta Y.
magma_int_t magmablas_zhemv ( magma_uplo_t  uplo,
magma_int_t  n,
magmaDoubleComplex  alpha,
const magmaDoubleComplex *  A,
magma_int_t  lda,
const magmaDoubleComplex *  x,
magma_int_t  incx,
magmaDoubleComplex  beta,
magmaDoubleComplex *  y,
magma_int_t  incy 
)

magmablas_zhemv performs the matrix-vector operation:

y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and A is an n by n hermitian matrix.

Parameters
[in]uplomagma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
  • = MagmaUpper: Only the upper triangular part of A is to be referenced.
  • = MagmaLower: Only the lower triangular part of A is to be referenced.
[in]nINTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of DIMENSION ( LDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix 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]ldaINTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ). It is recommended that lda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent.
[in]xCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
[in]incxINTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
[in,out]yCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.
[in]incyINTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
magma_int_t magmablas_zhemv_mgpu_offset ( magma_uplo_t  uplo,
magma_int_t  n,
magmaDoubleComplex  alpha,
magmaDoubleComplex **  A,
magma_int_t  lda,
magmaDoubleComplex **  x,
magma_int_t  incx,
magmaDoubleComplex  beta,
magmaDoubleComplex **  y,
magma_int_t  incy,
magmaDoubleComplex **  work,
magma_int_t  lwork,
magma_int_t  num_gpus,
magma_int_t  nb,
magma_int_t  offset,
magma_queue_t  stream[][10] 
)

magmablas_zhemv performs the matrix-vector operation:

y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and A is an n by n hermitian matrix.

Parameters
[in]uplomagma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
  • = MagmaUpper: Only the upper triangular part of A is to be referenced.
  • = MagmaLower: Only the lower triangular part of A is to be referenced.
[in]nINTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of DIMENSION ( LDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix 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]ldaINTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ). It is recommended that lda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent.
[in]xCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
[in]incxINTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
[in,out]yCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.
[in]incyINTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.
magma_int_t magmablas_zsymv ( magma_uplo_t  uplo,
magma_int_t  n,
magmaDoubleComplex  alpha,
const magmaDoubleComplex *  A,
magma_int_t  lda,
const magmaDoubleComplex *  x,
magma_int_t  incx,
magmaDoubleComplex  beta,
magmaDoubleComplex *  y,
magma_int_t  incy 
)

magmablas_zsymv performs the matrix-vector operation:

y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and A is an n by n symmetric matrix.

Parameters
[in]uplomagma_uplo_t. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
  • = MagmaUpper: Only the upper triangular part of A is to be referenced.
  • = MagmaLower: Only the lower triangular part of A is to be referenced.
[in]nINTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
[in]alphaCOMPLEX*16. On entry, ALPHA specifies the scalar alpha.
[in]ACOMPLEX*16 array of DIMENSION ( LDA, n ). Before entry with UPLO = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the hermitian matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix 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]ldaINTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ). It is recommended that lda is multiple of 16. Otherwise performance would be deteriorated as the memory accesses would not be fully coalescent.
[in]xCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
[in]incxINTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
[in]betaCOMPLEX*16. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.
[in,out]yCOMPLEX*16 array of dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y.
[in]incyINTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.