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---
:name: sla_porpvgrw
:md5sum: 2edaf717ab5460c71293b964d4229d50
:category: :function
:type: real
:arguments:
- uplo:
:type: char
:intent: input
- ncols:
:type: integer
:intent: input
- a:
:type: real
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- af:
:type: real
:intent: input
:dims:
- ldaf
- n
- ldaf:
:type: integer
:intent: input
- work:
:type: real
:intent: input
:dims:
- 2*n
:substitutions: {}
:fortran_help: " REAL FUNCTION SLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF, LDAF, WORK )\n\n\
* Purpose\n\
* =======\n\
* \n\
* SLA_PORPVGRW computes the reciprocal pivot growth factor\n\
* norm(A)/norm(U). The \"max absolute element\" norm is used. If this is\n\
* much less than 1, the stability of the LU factorization of the\n\
* (equilibrated) matrix A could be poor. This also means that the\n\
* solution X, estimated condition numbers, and error bounds could be\n\
* unreliable.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': Upper triangle of A is stored;\n\
* = 'L': Lower triangle of A is stored.\n\
*\n\
* NCOLS (input) INTEGER\n\
* The number of columns of the matrix A. NCOLS >= 0.\n\
*\n\
* A (input) REAL array, dimension (LDA,N)\n\
* On entry, the N-by-N matrix A.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* AF (input) REAL array, dimension (LDAF,N)\n\
* The triangular factor U or L from the Cholesky factorization\n\
* A = U**T*U or A = L*L**T, as computed by SPOTRF.\n\
*\n\
* LDAF (input) INTEGER\n\
* The leading dimension of the array AF. LDAF >= max(1,N).\n\
*\n\
* WORK (input) REAL array, dimension (2*N)\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n INTEGER I, J\n REAL AMAX, UMAX, RPVGRW\n LOGICAL UPPER\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC ABS, MAX, MIN\n\
* ..\n\
* .. External Functions ..\n EXTERNAL LSAME, SLASET\n LOGICAL LSAME\n\
* ..\n"
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