MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures
trtri: Triangular inverse; used in getri, potri

$$A = A^{-1}$$ 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...

## Detailed Description

$$A = A^{-1}$$ where $$A$$ is triangular

## Function Documentation

 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, A(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed.
 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.

Parameters
 [in] uplo magma_uplo_t = MagmaUpper: A is upper triangular; = MagmaLower: A is lower triangular. [in] diag magma_diag_t = MagmaNonUnit: A is non-unit triangular; = MagmaUnit: A is unit triangular. [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 N-by-N 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 N-by-N 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 = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, dA(i,i) is exactly zero. The triangular matrix is singular and its inverse cannot be computed. (Singularity check is currently disabled.)