LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ cla_gerpvgrw()

real function cla_gerpvgrw ( integer n,
integer ncols,
complex, dimension( lda, * ) a,
integer lda,
complex, dimension( ldaf, * ) af,
integer ldaf )

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

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

Purpose:
!>
!>
!> CLA_GERPVGRW computes the reciprocal pivot growth factor
!> norm(A)/norm(U). The  norm is used. If this is
!> much less than 1, the stability of the LU factorization of the
!> (equilibrated) matrix A could be poor. This also means that the
!> solution X, estimated condition numbers, and error bounds could be
!> unreliable.
!> 
Parameters
[in]N
!>          N is INTEGER
!>     The number of linear equations, i.e., the order of the
!>     matrix A.  N >= 0.
!> 
[in]NCOLS
!>          NCOLS is INTEGER
!>     The number of columns of the matrix A. NCOLS >= 0.
!> 
[in]A
!>          A is COMPLEX array, dimension (LDA,N)
!>     On entry, the N-by-N matrix A.
!> 
[in]LDA
!>          LDA is INTEGER
!>     The leading dimension of the array A.  LDA >= max(1,N).
!> 
[in]AF
!>          AF is COMPLEX array, dimension (LDAF,N)
!>     The factors L and U from the factorization
!>     A = P*L*U as computed by CGETRF.
!> 
[in]LDAF
!>          LDAF is INTEGER
!>     The leading dimension of the array AF.  LDAF >= max(1,N).
!> 
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.