trtri(3)                   Library Functions Manual                   trtri(3)

NAME
       trtri - trtri: triangular inverse

SYNOPSIS
   Functions
       subroutine ctrtri (uplo, diag, n, a, lda, info)
           CTRTRI
       subroutine dtrtri (uplo, diag, n, a, lda, info)
           DTRTRI
       subroutine strtri (uplo, diag, n, a, lda, info)
           STRTRI
       subroutine ztrtri (uplo, diag, n, a, lda, info)
           ZTRTRI

Detailed Description
Function Documentation
   subroutine ctrtri (character uplo, character diag, integer n, complex,
       dimension( lda, * ) a, integer lda, integer info)
       CTRTRI

       Purpose:


           !>
           !> CTRTRI computes the inverse of a complex upper or lower triangular
           !> matrix A.
           !>
           !> This is the Level 3 BLAS version of the algorithm.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  A is upper triangular;
           !>          = 'L':  A is lower triangular.
           !>

           DIAG

           !>          DIAG is CHARACTER*1
           !>          = 'N':  A is non-unit triangular;
           !>          = 'U':  A is 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 = -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 can not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 108 of file ctrtri.f.

   subroutine dtrtri (character uplo, character diag, integer n, double
       precision, dimension( lda, * ) a, integer lda, integer info)
       DTRTRI

       Purpose:


           !>
           !> DTRTRI computes the inverse of a real upper or lower triangular
           !> matrix A.
           !>
           !> This is the Level 3 BLAS version of the algorithm.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  A is upper triangular;
           !>          = 'L':  A is lower triangular.
           !>

           DIAG

           !>          DIAG is CHARACTER*1
           !>          = 'N':  A is non-unit triangular;
           !>          = 'U':  A is 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 = -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 can not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 108 of file dtrtri.f.

   subroutine strtri (character uplo, character diag, integer n, real,
       dimension( lda, * ) a, integer lda, integer info)
       STRTRI

       Purpose:


           !>
           !> STRTRI computes the inverse of a real upper or lower triangular
           !> matrix A.
           !>
           !> This is the Level 3 BLAS version of the algorithm.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  A is upper triangular;
           !>          = 'L':  A is lower triangular.
           !>

           DIAG

           !>          DIAG is CHARACTER*1
           !>          = 'N':  A is non-unit triangular;
           !>          = 'U':  A is 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 = -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 can not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 108 of file strtri.f.

   subroutine ztrtri (character uplo, character diag, integer n, complex*16,
       dimension( lda, * ) a, integer lda, integer info)
       ZTRTRI

       Purpose:


           !>
           !> ZTRTRI computes the inverse of a complex upper or lower triangular
           !> matrix A.
           !>
           !> This is the Level 3 BLAS version of the algorithm.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  A is upper triangular;
           !>          = 'L':  A is lower triangular.
           !>

           DIAG

           !>          DIAG is CHARACTER*1
           !>          = 'N':  A is non-unit triangular;
           !>          = 'U':  A is 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 = -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 can not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 108 of file ztrtri.f.

Author
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LAPACK                          Version 3.12.0                        trtri(3)