potri(3)                   Library Functions Manual                   potri(3)

NAME
       potri - potri: triangular inverse

SYNOPSIS
   Functions
       subroutine cpotri (uplo, n, a, lda, info)
           CPOTRI
       subroutine dpotri (uplo, n, a, lda, info)
           DPOTRI
       subroutine spotri (uplo, n, a, lda, info)
           SPOTRI
       subroutine zpotri (uplo, n, a, lda, info)
           ZPOTRI

Detailed Description
Function Documentation
   subroutine cpotri (character uplo, integer n, complex, dimension( lda, * )
       a, integer lda, integer info)
       CPOTRI

       Purpose:


           !>
           !> CPOTRI computes the inverse of a complex Hermitian positive definite
           !> matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
           !> computed by CPOTRF.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           N

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

           A

           !>          A is COMPLEX array, dimension (LDA,N)
           !>          On entry, the triangular factor U or L from the Cholesky
           !>          factorization A = U**H*U or A = L*L**H, as computed by
           !>          CPOTRF.
           !>          On exit, the upper or lower triangle of the (Hermitian)
           !>          inverse of A, overwriting the input factor U or L.
           !>

           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, the (i,i) element of the factor U or L is
           !>                zero, and the inverse could not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 94 of file cpotri.f.

   subroutine dpotri (character uplo, integer n, double precision, dimension(
       lda, * ) a, integer lda, integer info)
       DPOTRI

       Purpose:


           !>
           !> DPOTRI computes the inverse of a real symmetric positive definite
           !> matrix A using the Cholesky factorization A = U**T*U or A = L*L**T
           !> computed by DPOTRF.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           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 factor U or L from the Cholesky
           !>          factorization A = U**T*U or A = L*L**T, as computed by
           !>          DPOTRF.
           !>          On exit, the upper or lower triangle of the (symmetric)
           !>          inverse of A, overwriting the input factor U or L.
           !>

           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, the (i,i) element of the factor U or L is
           !>                zero, and the inverse could not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 94 of file dpotri.f.

   subroutine spotri (character uplo, integer n, real, dimension( lda, * ) a,
       integer lda, integer info)
       SPOTRI

       Purpose:


           !>
           !> SPOTRI computes the inverse of a real symmetric positive definite
           !> matrix A using the Cholesky factorization A = U**T*U or A = L*L**T
           !> computed by SPOTRF.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           N

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

           A

           !>          A is REAL array, dimension (LDA,N)
           !>          On entry, the triangular factor U or L from the Cholesky
           !>          factorization A = U**T*U or A = L*L**T, as computed by
           !>          SPOTRF.
           !>          On exit, the upper or lower triangle of the (symmetric)
           !>          inverse of A, overwriting the input factor U or L.
           !>

           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, the (i,i) element of the factor U or L is
           !>                zero, and the inverse could not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 94 of file spotri.f.

   subroutine zpotri (character uplo, integer n, complex*16, dimension( lda, *
       ) a, integer lda, integer info)
       ZPOTRI

       Purpose:


           !>
           !> ZPOTRI computes the inverse of a complex Hermitian positive definite
           !> matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
           !> computed by ZPOTRF.
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           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 factor U or L from the Cholesky
           !>          factorization A = U**H*U or A = L*L**H, as computed by
           !>          ZPOTRF.
           !>          On exit, the upper or lower triangle of the (Hermitian)
           !>          inverse of A, overwriting the input factor U or L.
           !>

           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, the (i,i) element of the factor U or L is
           !>                zero, and the inverse could not be computed.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 94 of file zpotri.f.

Author
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LAPACK                          Version 3.12.0                        potri(3)