single-complex precision
[QR with pivoting: auxiliary]

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.
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_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)
 CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.
magma_int_t magma_claqps3_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)
 CLAQPS computes a step of QR factorization with column pivoting of a complex M-by-N matrix A by using Blas-3.

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] m INTEGER The number of rows of the matrix A. M >= 0.
[in] n INTEGER The number of columns of the matrix A. N >= 0
[in] offset INTEGER The number of rows of A that have been factorized in previous steps.
[in] nb INTEGER The number of columns to factorize.
[out] kb INTEGER The number of columns actually factorized.
[in,out] A COMPLEX 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] lda INTEGER The leading dimension of the array A. LDA >= max(1,M).
[in,out] jpvt INTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out] tau COMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out] vn1 REAL array, dimension (N) The vector with the partial column norms.
[in,out] vn2 REAL array, dimension (N) The vector with the exact column norms.
[in,out] auxv COMPLEX array, dimension (NB) Auxiliar vector.
[in,out] F COMPLEX array, dimension (LDF,NB) Matrix F' = L*Y'*A.
[in] ldf INTEGER The leading dimension of the array F. LDF >= 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 
)

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] m INTEGER The number of rows of the matrix A. M >= 0.
[in] n INTEGER The number of columns of the matrix A. N >= 0
[in] offset INTEGER The number of rows of A that have been factorized in previous steps.
[in] NB INTEGER The number of columns to factorize.
[out] kb INTEGER The number of columns actually factorized.
[in,out] dA COMPLEX 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] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out] jpvt INTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out] dtau COMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out] dvn1 REAL array, dimension (N) The vector with the partial column norms.
[in,out] dvn2 REAL array, dimension (N) The vector with the exact column norms.
[in,out] dauxv COMPLEX array, dimension (NB) Auxiliar vector.
[in,out] dF COMPLEX array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in] lddf INTEGER The leading dimension of the array F. LDDF >= max(1,N).
magma_int_t magma_claqps3_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 
)

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] m INTEGER The number of rows of the matrix A. M >= 0.
[in] n INTEGER The number of columns of the matrix A. N >= 0
[in] offset INTEGER The number of rows of A that have been factorized in previous steps.
[in] NB INTEGER The number of columns to factorize.
[out] kb INTEGER The number of columns actually factorized.
[in,out] A COMPLEX 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] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out] jpvt INTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out] dtau COMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out] dvn1 REAL array, dimension (N) The vector with the partial column norms.
[in,out] dvn2 REAL array, dimension (N) The vector with the exact column norms.
[in,out] dauxv COMPLEX array, dimension (NB) Auxiliar vector.
[in,out] dF COMPLEX array, dimension (LDDF,NB) Matrix F**H = L * Y**H * A.
[in] lddf INTEGER The leading dimension of the array F. 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] m INTEGER The number of rows of the matrix A. M >= 0.
[in] n INTEGER The number of columns of the matrix A. N >= 0
[in] offset INTEGER The number of rows of A that have been factorized in previous steps.
[in] nb INTEGER The number of columns to factorize.
[out] kb INTEGER The number of columns actually factorized.
[in,out] dA COMPLEX 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] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M).
[in,out] jpvt INTEGER array, dimension (N) JPVT(I) = K <==> Column K of the full matrix A has been permuted into position I in AP.
[out] tau COMPLEX array, dimension (KB) The scalar factors of the elementary reflectors.
[in,out] vn1 REAL array, dimension (N) The vector with the partial column norms.
[in,out] vn2 REAL array, dimension (N) The vector with the exact column norms.
[in,out] dauxv COMPLEX array, dimension (NB), on the GPU Auxiliary vector.
[in,out] dF COMPLEX array, dimension (LDDF,NB), on the GPU Matrix F' = L*Y'*A.
[in] lddf INTEGER The leading dimension of the array F. LDDF >= max(1,N).

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