MAGMA
2.3.0
Matrix Algebra for GPU and Multicore Architectures

\( A = A^{1} \) where \( A \) is triangular More...
Functions  
magma_int_t  magma_ctrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex *A, magma_int_t lda, magma_int_t *info) 
CTRTRI computes the inverse of a real upper or lower triangular matrix A. More...  
magma_int_t  magma_ctrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *info) 
CTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...  
magma_int_t  magma_dtrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, double *A, magma_int_t lda, magma_int_t *info) 
DTRTRI computes the inverse of a real upper or lower triangular matrix A. More...  
magma_int_t  magma_dtrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *info) 
DTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...  
magma_int_t  magma_strtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, float *A, magma_int_t lda, magma_int_t *info) 
STRTRI computes the inverse of a real upper or lower triangular matrix A. More...  
magma_int_t  magma_strtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *info) 
STRTRI computes the inverse of a real upper or lower triangular matrix dA. More...  
magma_int_t  magma_ztrtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, magma_int_t *info) 
ZTRTRI computes the inverse of a real upper or lower triangular matrix A. More...  
magma_int_t  magma_ztrtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *info) 
ZTRTRI computes the inverse of a real upper or lower triangular matrix dA. More...  
\( A = A^{1} \) where \( A \) is triangular
magma_int_t magma_ctrtri  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaFloatComplex *  A,  
magma_int_t  lda,  
magma_int_t *  info  
) 
CTRTRI computes the inverse of a real upper or lower triangular matrix A.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  A  COMPLEX array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  lda  INTEGER The leading dimension of the array A. LDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_ctrtri_gpu  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaFloatComplex_ptr  dA,  
magma_int_t  ldda,  
magma_int_t *  info  
) 
CTRTRI computes the inverse of a real upper or lower triangular matrix dA.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  dA  COMPLEX array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  ldda  INTEGER The leading dimension of the array dA. LDDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_dtrtri  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
double *  A,  
magma_int_t  lda,  
magma_int_t *  info  
) 
DTRTRI computes the inverse of a real upper or lower triangular matrix A.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  A  DOUBLE PRECISION array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  lda  INTEGER The leading dimension of the array A. LDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_dtrtri_gpu  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaDouble_ptr  dA,  
magma_int_t  ldda,  
magma_int_t *  info  
) 
DTRTRI computes the inverse of a real upper or lower triangular matrix dA.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  dA  DOUBLE PRECISION array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  ldda  INTEGER The leading dimension of the array dA. LDDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_strtri  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
float *  A,  
magma_int_t  lda,  
magma_int_t *  info  
) 
STRTRI computes the inverse of a real upper or lower triangular matrix A.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  A  REAL array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  lda  INTEGER The leading dimension of the array A. LDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_strtri_gpu  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaFloat_ptr  dA,  
magma_int_t  ldda,  
magma_int_t *  info  
) 
STRTRI computes the inverse of a real upper or lower triangular matrix dA.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  dA  REAL array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  ldda  INTEGER The leading dimension of the array dA. LDDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_ztrtri  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaDoubleComplex *  A,  
magma_int_t  lda,  
magma_int_t *  info  
) 
ZTRTRI computes the inverse of a real upper or lower triangular matrix A.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  A  COMPLEX_16 array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  lda  INTEGER The leading dimension of the array A. LDA >= max(1,N). 
[out]  info  INTEGER

magma_int_t magma_ztrtri_gpu  (  magma_uplo_t  uplo, 
magma_diag_t  diag,  
magma_int_t  n,  
magmaDoubleComplex_ptr  dA,  
magma_int_t  ldda,  
magma_int_t *  info  
) 
ZTRTRI computes the inverse of a real upper or lower triangular matrix dA.
This is the Level 3 BLAS version of the algorithm.
[in]  uplo  magma_uplo_t

[in]  diag  magma_diag_t

[in]  n  INTEGER The order of the matrix A. N >= 0. 
[in,out]  dA  COMPLEX_16 array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading NbyN upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading NbyN lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. 
[in]  ldda  INTEGER The leading dimension of the array dA. LDDA >= max(1,N). 
[out]  info  INTEGER
