LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ strcon()

subroutine strcon ( character norm,
character uplo,
character diag,
integer n,
real, dimension( lda, * ) a,
integer lda,
real rcond,
real, dimension( * ) work,
integer, dimension( * ) iwork,
integer info )

STRCON

Download STRCON + dependencies [TGZ] [ZIP] [TXT]

Purpose:
!>
!> STRCON estimates the reciprocal of the condition number of a
!> triangular matrix A, in either the 1-norm or the infinity-norm.
!>
!> The norm of A is computed and an estimate is obtained for
!> norm(inv(A)), then the reciprocal of the condition number is
!> computed as
!>    RCOND = 1 / ( norm(A) * norm(inv(A)) ).
!> 
Parameters
[in]NORM
!>          NORM is CHARACTER*1
!>          Specifies whether the 1-norm condition number or the
!>          infinity-norm condition number is required:
!>          = '1' or 'O':  1-norm;
!>          = 'I':         Infinity-norm.
!> 
[in]UPLO
!>          UPLO is CHARACTER*1
!>          = 'U':  A is upper triangular;
!>          = 'L':  A is lower triangular.
!> 
[in]DIAG
!>          DIAG is CHARACTER*1
!>          = 'N':  A is non-unit triangular;
!>          = 'U':  A is unit triangular.
!> 
[in]N
!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!> 
[in]A
!>          A is REAL array, dimension (LDA,N)
!>          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.
!> 
[in]LDA
!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!> 
[out]RCOND
!>          RCOND is REAL
!>          The reciprocal of the condition number of the matrix A,
!>          computed as RCOND = 1/(norm(A) * norm(inv(A))).
!> 
[out]WORK
!>          WORK is REAL array, dimension (3*N)
!> 
[out]IWORK
!>          IWORK is INTEGER array, dimension (N)
!> 
[out]INFO
!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!> 
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.