Provided by: liblapack-doc_3.12.0-3build1.1_all bug

NAME

       trti2 - trti2: triangular inverse, level 2

SYNOPSIS

   Functions
       subroutine ctrti2 (uplo, diag, n, a, lda, info)
           CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
       subroutine dtrti2 (uplo, diag, n, a, lda, info)
           DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
       subroutine strti2 (uplo, diag, n, a, lda, info)
           STRTI2 computes the inverse of a triangular matrix (unblocked algorithm).
       subroutine ztrti2 (uplo, diag, n, a, lda, info)
           ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

Detailed Description

Function Documentation

   subroutine ctrti2 (character uplo, character diag, integer n, complex, dimension( lda, * ) a,
       integer lda, integer info)
       CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

       Purpose:

            CTRTI2 computes the inverse of a complex upper or lower triangular
            matrix.

            This is the Level 2 BLAS version of the algorithm.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the matrix A is upper or lower triangular.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           DIAG

                     DIAG is CHARACTER*1
                     Specifies whether or not the matrix A is unit triangular.
                     = 'N':  Non-unit triangular
                     = 'U':  Unit triangular

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is COMPLEX array, dimension (LDA,N)
                     On entry, the triangular matrix A.  If UPLO = 'U', 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 = 'L', 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 = 'U', 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           INFO

                     INFO is INTEGER
                     = 0: successful exit
                     < 0: if INFO = -k, the k-th argument had an illegal value

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine dtrti2 (character uplo, character diag, integer n, double precision, dimension(
       lda, * ) a, integer lda, integer info)
       DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

       Purpose:

            DTRTI2 computes the inverse of a real upper or lower triangular
            matrix.

            This is the Level 2 BLAS version of the algorithm.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the matrix A is upper or lower triangular.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           DIAG

                     DIAG is CHARACTER*1
                     Specifies whether or not the matrix A is unit triangular.
                     = 'N':  Non-unit triangular
                     = 'U':  Unit triangular

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is DOUBLE PRECISION array, dimension (LDA,N)
                     On entry, the triangular matrix A.  If UPLO = 'U', 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 = 'L', 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 = 'U', 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           INFO

                     INFO is INTEGER
                     = 0: successful exit
                     < 0: if INFO = -k, the k-th argument had an illegal value

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine strti2 (character uplo, character diag, integer n, real, dimension( lda, * ) a,
       integer lda, integer info)
       STRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

       Purpose:

            STRTI2 computes the inverse of a real upper or lower triangular
            matrix.

            This is the Level 2 BLAS version of the algorithm.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the matrix A is upper or lower triangular.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           DIAG

                     DIAG is CHARACTER*1
                     Specifies whether or not the matrix A is unit triangular.
                     = 'N':  Non-unit triangular
                     = 'U':  Unit triangular

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     On entry, the triangular matrix A.  If UPLO = 'U', 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 = 'L', 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 = 'U', 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           INFO

                     INFO is INTEGER
                     = 0: successful exit
                     < 0: if INFO = -k, the k-th argument had an illegal value

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine ztrti2 (character uplo, character diag, integer n, complex*16, dimension( lda, * )
       a, integer lda, integer info)
       ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

       Purpose:

            ZTRTI2 computes the inverse of a complex upper or lower triangular
            matrix.

            This is the Level 2 BLAS version of the algorithm.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     Specifies whether the matrix A is upper or lower triangular.
                     = 'U':  Upper triangular
                     = 'L':  Lower triangular

           DIAG

                     DIAG is CHARACTER*1
                     Specifies whether or not the matrix A is unit triangular.
                     = 'N':  Non-unit triangular
                     = 'U':  Unit triangular

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     On entry, the triangular matrix A.  If UPLO = 'U', 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 = 'L', 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 = 'U', 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           INFO

                     INFO is INTEGER
                     = 0: successful exit
                     < 0: if INFO = -k, the k-th argument had an illegal value

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

Author

       Generated automatically by Doxygen for LAPACK from the source code.