MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
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gerbt: Apply random butterfly transformation (RBT)

Functions

magma_int_t magma_cgerbt_batched (magma_bool_t gen, magma_int_t n, magma_int_t nrhs, magmaFloatComplex **dA_array, magma_int_t ldda, magmaFloatComplex **dB_array, magma_int_t lddb, magmaFloatComplex *U, magmaFloatComplex *V, magma_int_t *info, magma_int_t batchCount, magma_queue_t queue)
 CGERBT solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices. More...
 
magma_int_t magma_dgerbt_batched (magma_bool_t gen, magma_int_t n, magma_int_t nrhs, double **dA_array, magma_int_t ldda, double **dB_array, magma_int_t lddb, double *U, double *V, magma_int_t *info, magma_int_t batchCount, magma_queue_t queue)
 DGERBT solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices. More...
 
magma_int_t magma_sgerbt_batched (magma_bool_t gen, magma_int_t n, magma_int_t nrhs, float **dA_array, magma_int_t ldda, float **dB_array, magma_int_t lddb, float *U, float *V, magma_int_t *info, magma_int_t batchCount, magma_queue_t queue)
 SGERBT solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices. More...
 
magma_int_t magma_zgerbt_batched (magma_bool_t gen, magma_int_t n, magma_int_t nrhs, magmaDoubleComplex **dA_array, magma_int_t ldda, magmaDoubleComplex **dB_array, magma_int_t lddb, magmaDoubleComplex *U, magmaDoubleComplex *V, magma_int_t *info, magma_int_t batchCount, magma_queue_t queue)
 ZGERBT solves a system of linear equations A * X = B where A is a general n-by-n matrix and X and B are n-by-nrhs matrices. More...
 

Detailed Description

Function Documentation

magma_int_t magma_cgerbt_batched ( magma_bool_t  gen,
magma_int_t  n,
magma_int_t  nrhs,
magmaFloatComplex **  dA_array,
magma_int_t  ldda,
magmaFloatComplex **  dB_array,
magma_int_t  lddb,
magmaFloatComplex *  U,
magmaFloatComplex *  V,
magma_int_t *  info,
magma_int_t  batchCount,
magma_queue_t  queue 
)

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

Random Butterfly Tranformation is applied on A and B, then the LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

This is a batched version that solves batchCount matrices in parallel. dA, dB, and info become arrays with one entry per matrix.

Parameters
[in]genmagma_bool_t
  • = MagmaTrue: new matrices are generated for U and V
  • = MagmaFalse: matrices U and V given as parameter are used
[in]nINTEGER The order of the matrix A. n >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]dA_arrayArray of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in,out]dB_arrayArray of pointers, dimension (batchCount). Each is a COMPLEX array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in,out]UCOMPLEX array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue U is generated and returned as output; else we use U given as input. CPU memory
[in,out]VCOMPLEX array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue V is generated and returned as output; else we use U given as input. CPU memory
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed.
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dgerbt_batched ( magma_bool_t  gen,
magma_int_t  n,
magma_int_t  nrhs,
double **  dA_array,
magma_int_t  ldda,
double **  dB_array,
magma_int_t  lddb,
double *  U,
double *  V,
magma_int_t *  info,
magma_int_t  batchCount,
magma_queue_t  queue 
)

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

Random Butterfly Tranformation is applied on A and B, then the LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

This is a batched version that solves batchCount matrices in parallel. dA, dB, and info become arrays with one entry per matrix.

Parameters
[in]genmagma_bool_t
  • = MagmaTrue: new matrices are generated for U and V
  • = MagmaFalse: matrices U and V given as parameter are used
[in]nINTEGER The order of the matrix A. n >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]dA_arrayArray of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in,out]dB_arrayArray of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in,out]UDOUBLE PRECISION array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue U is generated and returned as output; else we use U given as input. CPU memory
[in,out]VDOUBLE PRECISION array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue V is generated and returned as output; else we use U given as input. CPU memory
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed.
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_sgerbt_batched ( magma_bool_t  gen,
magma_int_t  n,
magma_int_t  nrhs,
float **  dA_array,
magma_int_t  ldda,
float **  dB_array,
magma_int_t  lddb,
float *  U,
float *  V,
magma_int_t *  info,
magma_int_t  batchCount,
magma_queue_t  queue 
)

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

Random Butterfly Tranformation is applied on A and B, then the LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

This is a batched version that solves batchCount matrices in parallel. dA, dB, and info become arrays with one entry per matrix.

Parameters
[in]genmagma_bool_t
  • = MagmaTrue: new matrices are generated for U and V
  • = MagmaFalse: matrices U and V given as parameter are used
[in]nINTEGER The order of the matrix A. n >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]dA_arrayArray of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in,out]dB_arrayArray of pointers, dimension (batchCount). Each is a REAL array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in,out]UREAL array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue U is generated and returned as output; else we use U given as input. CPU memory
[in,out]VREAL array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue V is generated and returned as output; else we use U given as input. CPU memory
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed.
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zgerbt_batched ( magma_bool_t  gen,
magma_int_t  n,
magma_int_t  nrhs,
magmaDoubleComplex **  dA_array,
magma_int_t  ldda,
magmaDoubleComplex **  dB_array,
magma_int_t  lddb,
magmaDoubleComplex *  U,
magmaDoubleComplex *  V,
magma_int_t *  info,
magma_int_t  batchCount,
magma_queue_t  queue 
)

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

Random Butterfly Tranformation is applied on A and B, then the LU decomposition with no pivoting is used to factor A as A = L * U, where L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.

This is a batched version that solves batchCount matrices in parallel. dA, dB, and info become arrays with one entry per matrix.

Parameters
[in]genmagma_bool_t
  • = MagmaTrue: new matrices are generated for U and V
  • = MagmaFalse: matrices U and V given as parameter are used
[in]nINTEGER The order of the matrix A. n >= 0.
[in]nrhsINTEGER The number of right hand sides, i.e., the number of columns of the matrix B. nrhs >= 0.
[in,out]dA_arrayArray of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDA,N). On entry, each pointer is an M-by-N matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
[in]lddaINTEGER The leading dimension of each array A. LDDA >= max(1,M).
[in,out]dB_arrayArray of pointers, dimension (batchCount). Each is a COMPLEX_16 array on the GPU, dimension (LDDB,N). On entry, each pointer is an right hand side matrix B. On exit, each pointer is the solution matrix X.
[in]lddbINTEGER The leading dimension of the array B. LDB >= max(1,N).
[in,out]UCOMPLEX_16 array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue U is generated and returned as output; else we use U given as input. CPU memory
[in,out]VCOMPLEX_16 array, dimension (2,n) Random butterfly matrix, if gen = MagmaTrue V is generated and returned as output; else we use U given as input. CPU memory
[out]infoINTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed.
[in]batchCountINTEGER The number of matrices to operate on.
[in]queuemagma_queue_t Queue to execute in.