carta
sla_porpvgrw.f(3)

sla_porpvgrw.f3

Function/Subroutine Documentation

real function sla_porpvgrw (character*1 uplo, integer ncols, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, real, dimension( * ) work)

SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

Purpose:

!>
!>
!> SLA_PORPVGRW 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

UPLO

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

NCOLS

!>          NCOLS is INTEGER
!>     The number of columns of the matrix A. NCOLS >= 0.
!> 

A

!>          A is REAL array, dimension (LDA,N)
!>     On entry, the N-by-N matrix A.
!> 

LDA

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

AF

!>          AF is REAL array, dimension (LDAF,N)
!>     The triangular factor U or L from the Cholesky factorization
!>     A = U**T*U or A = L*L**T, as computed by SPOTRF.
!> 

LDAF

!>          LDAF is INTEGER
!>     The leading dimension of the array AF.  LDAF >= max(1,N).
!> 

WORK

!>          WORK is REAL array, dimension (2*N)
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 103 of file sla_porpvgrw.f.

History

  • Arch Linux 2026-11-01: the text shown here
  • Debian 9 (Stretch)
  • Debian 8 (Jessie)
  • Debian 7 (Wheezy)

Author

Generated automatically by Doxygen for LAPACK from the source code.

From lapack-doc 3.12.1-2 in Arch Linux 2026-11-01. Parsed by carta from the page's man source.