MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
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laqps: Partial factorization; used by geqp3

Functions

magma_int_t magma_claqps (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaFloatComplex *A, magma_int_t lda, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaFloatComplex *tau, float *vn1, float *vn2, magmaFloatComplex *auxv, magmaFloatComplex *F, magma_int_t ldf, magmaFloatComplex_ptr dF, magma_int_t lddf)
 CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_claqps_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaFloatComplex *tau, float *vn1, float *vn2, magmaFloatComplex_ptr dauxv, magmaFloatComplex_ptr dF, magma_int_t lddf)
 
magma_int_t magma_dlaqps (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, double *A, magma_int_t lda, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *jpvt, double *tau, double *vn1, double *vn2, double *auxv, double *F, magma_int_t ldf, magmaDouble_ptr dF, magma_int_t lddf)
 DLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_dlaqps_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *jpvt, double *tau, double *vn1, double *vn2, magmaDouble_ptr dauxv, magmaDouble_ptr dF, magma_int_t lddf)
 
magma_int_t magma_slaqps (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, float *A, magma_int_t lda, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *jpvt, float *tau, float *vn1, float *vn2, float *auxv, float *F, magma_int_t ldf, magmaFloat_ptr dF, magma_int_t lddf)
 SLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_slaqps_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *jpvt, float *tau, float *vn1, float *vn2, magmaFloat_ptr dauxv, magmaFloat_ptr dF, magma_int_t lddf)
 
magma_int_t magma_zlaqps (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaDoubleComplex *A, magma_int_t lda, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaDoubleComplex *tau, double *vn1, double *vn2, magmaDoubleComplex *auxv, magmaDoubleComplex *F, magma_int_t ldf, magmaDoubleComplex_ptr dF, magma_int_t lddf)
 ZLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_zlaqps_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaDoubleComplex *tau, double *vn1, double *vn2, magmaDoubleComplex_ptr dauxv, magmaDoubleComplex_ptr dF, magma_int_t lddf)
 
magma_int_t magma_claqps2_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaFloatComplex_ptr dtau, magmaFloat_ptr dvn1, magmaFloat_ptr dvn2, magmaFloatComplex_ptr dauxv, magmaFloatComplex_ptr dF, magma_int_t lddf, magmaFloat_ptr dlsticcs, magma_queue_t queue)
 CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_dlaqps2_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaDouble_ptr dtau, magmaDouble_ptr dvn1, magmaDouble_ptr dvn2, magmaDouble_ptr dauxv, magmaDouble_ptr dF, magma_int_t lddf, magmaDouble_ptr dlsticcs, magma_queue_t queue)
 DLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_slaqps2_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaFloat_ptr dtau, magmaFloat_ptr dvn1, magmaFloat_ptr dvn2, magmaFloat_ptr dauxv, magmaFloat_ptr dF, magma_int_t lddf, magmaFloat_ptr dlsticcs, magma_queue_t queue)
 SLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. More...
 
magma_int_t magma_zlaqps2_gpu (magma_int_t m, magma_int_t n, magma_int_t offset, magma_int_t nb, magma_int_t *kb, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *jpvt, magmaDoubleComplex_ptr dtau, magmaDouble_ptr dvn1, magmaDouble_ptr dvn2, magmaDoubleComplex_ptr dauxv, magmaDoubleComplex_ptr dF, magma_int_t lddf, magmaDouble_ptr dlsticcs, magma_queue_t queue)
 ZLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. More...
 

Detailed Description

Function Documentation

magma_int_t magma_claqps ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaFloatComplex *  A,
magma_int_t  lda,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaFloatComplex *  tau,
float *  vn1,
float *  vn2,
magmaFloatComplex *  auxv,
magmaFloatComplex *  F,
magma_int_t  ldf,
magmaFloatComplex_ptr  dF,
magma_int_t  lddf 
)

CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]ACOMPLEX array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]ldaINTEGER The leading dimension of the array A. LDA >= max(1,M).
[in,out]dACOMPLEX array, dimension (LDA,N) Copy of A on the GPU. Portions of A are updated on the CPU; portions of dA are updated on the GPU. See code for details.
[in]lddaINTEGER The leading dimension of the array dA. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauCOMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]vn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]auxvCOMPLEX array, dimension (NB) Auxiliar vector.
[in,out]FCOMPLEX array, dimension (LDF,NB) Matrix F' = L*Y'*A.
[in]ldfINTEGER The leading dimension of the array F. LDF >= max(1,N).
[in,out]dFCOMPLEX array, dimension (LDDF,NB) Copy of F on the GPU. See code for details.
[in]lddfINTEGER The leading dimension of the array dF. LDDF >= max(1,N).
magma_int_t magma_claqps_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaFloatComplex *  tau,
float *  vn1,
float *  vn2,
magmaFloatComplex_ptr  dauxv,
magmaFloatComplex_ptr  dF,
magma_int_t  lddf 
)
Deprecated:

CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dACOMPLEX array, dimension (LDDA,N), on the GPU. On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauCOMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]vn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]dauxvCOMPLEX array, dimension (NB), on the GPU Auxiliary vector.
[in,out]dFCOMPLEX array, dimension (LDDF,NB), on the GPU Matrix F' = L*Y'*A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
magma_int_t magma_dlaqps ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
double *  A,
magma_int_t  lda,
magmaDouble_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
double *  tau,
double *  vn1,
double *  vn2,
double *  auxv,
double *  F,
magma_int_t  ldf,
magmaDouble_ptr  dF,
magma_int_t  lddf 
)

DLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]ADOUBLE PRECISION array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]ldaINTEGER The leading dimension of the array A. LDA >= max(1,M).
[in,out]dADOUBLE PRECISION array, dimension (LDA,N) Copy of A on the GPU. Portions of A are updated on the CPU; portions of dA are updated on the GPU. See code for details.
[in]lddaINTEGER The leading dimension of the array dA. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauDOUBLE PRECISION array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]vn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]auxvDOUBLE PRECISION array, dimension (NB) Auxiliar vector.
[in,out]FDOUBLE PRECISION array, dimension (LDF,NB) Matrix F' = L*Y'*A.
[in]ldfINTEGER The leading dimension of the array F. LDF >= max(1,N).
[in,out]dFDOUBLE PRECISION array, dimension (LDDF,NB) Copy of F on the GPU. See code for details.
[in]lddfINTEGER The leading dimension of the array dF. LDDF >= max(1,N).
magma_int_t magma_dlaqps_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaDouble_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
double *  tau,
double *  vn1,
double *  vn2,
magmaDouble_ptr  dauxv,
magmaDouble_ptr  dF,
magma_int_t  lddf 
)
Deprecated:

DLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dADOUBLE PRECISION array, dimension (LDDA,N), on the GPU. On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauDOUBLE PRECISION array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]vn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]dauxvDOUBLE PRECISION array, dimension (NB), on the GPU Auxiliary vector.
[in,out]dFDOUBLE PRECISION array, dimension (LDDF,NB), on the GPU Matrix F' = L*Y'*A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
magma_int_t magma_slaqps ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
float *  A,
magma_int_t  lda,
magmaFloat_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
float *  tau,
float *  vn1,
float *  vn2,
float *  auxv,
float *  F,
magma_int_t  ldf,
magmaFloat_ptr  dF,
magma_int_t  lddf 
)

SLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]AREAL array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]ldaINTEGER The leading dimension of the array A. LDA >= max(1,M).
[in,out]dAREAL array, dimension (LDA,N) Copy of A on the GPU. Portions of A are updated on the CPU; portions of dA are updated on the GPU. See code for details.
[in]lddaINTEGER The leading dimension of the array dA. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauREAL array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]vn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]auxvREAL array, dimension (NB) Auxiliar vector.
[in,out]FREAL array, dimension (LDF,NB) Matrix F' = L*Y'*A.
[in]ldfINTEGER The leading dimension of the array F. LDF >= max(1,N).
[in,out]dFREAL array, dimension (LDDF,NB) Copy of F on the GPU. See code for details.
[in]lddfINTEGER The leading dimension of the array dF. LDDF >= max(1,N).
magma_int_t magma_slaqps_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaFloat_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
float *  tau,
float *  vn1,
float *  vn2,
magmaFloat_ptr  dauxv,
magmaFloat_ptr  dF,
magma_int_t  lddf 
)
Deprecated:

SLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3. It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dAREAL array, dimension (LDDA,N), on the GPU. On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauREAL array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]vn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]dauxvREAL array, dimension (NB), on the GPU Auxiliary vector.
[in,out]dFREAL array, dimension (LDDF,NB), on the GPU Matrix F' = L*Y'*A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
magma_int_t magma_zlaqps ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaDoubleComplex *  A,
magma_int_t  lda,
magmaDoubleComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaDoubleComplex *  tau,
double *  vn1,
double *  vn2,
magmaDoubleComplex *  auxv,
magmaDoubleComplex *  F,
magma_int_t  ldf,
magmaDoubleComplex_ptr  dF,
magma_int_t  lddf 
)

ZLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]ACOMPLEX_16 array, dimension (LDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]ldaINTEGER The leading dimension of the array A. LDA >= max(1,M).
[in,out]dACOMPLEX_16 array, dimension (LDA,N) Copy of A on the GPU. Portions of A are updated on the CPU; portions of dA are updated on the GPU. See code for details.
[in]lddaINTEGER The leading dimension of the array dA. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauCOMPLEX_16 array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]vn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]auxvCOMPLEX_16 array, dimension (NB) Auxiliar vector.
[in,out]FCOMPLEX_16 array, dimension (LDF,NB) Matrix F' = L*Y'*A.
[in]ldfINTEGER The leading dimension of the array F. LDF >= max(1,N).
[in,out]dFCOMPLEX_16 array, dimension (LDDF,NB) Copy of F on the GPU. See code for details.
[in]lddfINTEGER The leading dimension of the array dF. LDDF >= max(1,N).
magma_int_t magma_zlaqps_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaDoubleComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaDoubleComplex *  tau,
double *  vn1,
double *  vn2,
magmaDoubleComplex_ptr  dauxv,
magmaDoubleComplex_ptr  dF,
magma_int_t  lddf 
)
Deprecated:

ZLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3. It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dACOMPLEX_16 array, dimension (LDDA,N), on the GPU. On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]tauCOMPLEX_16 array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]vn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]vn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]dauxvCOMPLEX_16 array, dimension (NB), on the GPU Auxiliary vector.
[in,out]dFCOMPLEX_16 array, dimension (LDDF,NB), on the GPU Matrix F' = L*Y'*A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
magma_int_t magma_claqps2_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaFloatComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaFloatComplex_ptr  dtau,
magmaFloat_ptr  dvn1,
magmaFloat_ptr  dvn2,
magmaFloatComplex_ptr  dauxv,
magmaFloatComplex_ptr  dF,
magma_int_t  lddf,
magmaFloat_ptr  dlsticcs,
magma_queue_t  queue 
)

CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dACOMPLEX array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]dtauCOMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]dvn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]dvn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]dauxvCOMPLEX array, dimension (NB) Auxiliar vector.
[in,out]dFCOMPLEX array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
dlsticcsTODO: undocumented
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_dlaqps2_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaDouble_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaDouble_ptr  dtau,
magmaDouble_ptr  dvn1,
magmaDouble_ptr  dvn2,
magmaDouble_ptr  dauxv,
magmaDouble_ptr  dF,
magma_int_t  lddf,
magmaDouble_ptr  dlsticcs,
magma_queue_t  queue 
)

DLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dADOUBLE PRECISION array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]dtauDOUBLE PRECISION array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]dvn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]dvn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]dauxvDOUBLE PRECISION array, dimension (NB) Auxiliar vector.
[in,out]dFDOUBLE PRECISION array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
dlsticcsTODO: undocumented
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_slaqps2_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaFloat_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaFloat_ptr  dtau,
magmaFloat_ptr  dvn1,
magmaFloat_ptr  dvn2,
magmaFloat_ptr  dauxv,
magmaFloat_ptr  dF,
magma_int_t  lddf,
magmaFloat_ptr  dlsticcs,
magma_queue_t  queue 
)

SLAQPS computes a step of QR factorization with column pivoting of a real M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dAREAL array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]dtauREAL array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]dvn1REAL array, dimension (N) The vector with the partial column norms.
[in,out]dvn2REAL array, dimension (N) The vector with the exact column norms.
[in,out]dauxvREAL array, dimension (NB) Auxiliar vector.
[in,out]dFREAL array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
dlsticcsTODO: undocumented
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zlaqps2_gpu ( magma_int_t  m,
magma_int_t  n,
magma_int_t  offset,
magma_int_t  nb,
magma_int_t *  kb,
magmaDoubleComplex_ptr  dA,
magma_int_t  ldda,
magma_int_t *  jpvt,
magmaDoubleComplex_ptr  dtau,
magmaDouble_ptr  dvn1,
magmaDouble_ptr  dvn2,
magmaDoubleComplex_ptr  dauxv,
magmaDoubleComplex_ptr  dF,
magma_int_t  lddf,
magmaDouble_ptr  dlsticcs,
magma_queue_t  queue 
)

ZLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.

It tries to factorize NB columns from A starting from the row OFFSET+1, and updates all of the matrix with Blas-3 xGEMM.

In some cases, due to catastrophic cancellations, it cannot factorize NB columns. Hence, the actual number of factorized columns is returned in KB.

Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.

Parameters
[in]mINTEGER The number of rows of the matrix A. M >= 0.
[in]nINTEGER The number of columns of the matrix A. N >= 0
[in]offsetINTEGER The number of rows of A that have been factorized in previous steps.
[in]nbINTEGER The number of columns to factorize.
[out]kbINTEGER The number of columns actually factorized.
[in,out]dACOMPLEX*16 array, dimension (LDDA,N) On entry, the M-by-N matrix A. On exit, block A(OFFSET+1:M,1:KB) is the triangular factor obtained and block A(1:OFFSET,1:N) has been accordingly pivoted, but no factorized. The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has been updated.
[in]lddaINTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out]jpvtINTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out]dtauCOMPLEX*16 array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out]dvn1DOUBLE PRECISION array, dimension (N) The vector with the partial column norms.
[in,out]dvn2DOUBLE PRECISION array, dimension (N) The vector with the exact column norms.
[in,out]dauxvCOMPLEX*16 array, dimension (NB) Auxiliar vector.
[in,out]dFCOMPLEX*16 array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in]lddfINTEGER The leading dimension of the array F. LDDF >= max(1,N).
dlsticcsTODO: undocumented
[in]queuemagma_queue_t Queue to execute in.