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---
:name: cla_rpvgrw
:md5sum: 6ea05cda1b7eeeb5b354576bf4a33b68
:category: :function
:type: real
:arguments:
- n:
:type: integer
:intent: input
- ncols:
:type: integer
:intent: input
- a:
:type: complex
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- af:
:type: complex
:intent: input
:dims:
- ldaf
- n
- ldaf:
:type: integer
:intent: input
:substitutions: {}
:fortran_help: " REAL FUNCTION CLA_RPVGRW( N, NCOLS, A, LDA, AF, LDAF )\n\n\
* Purpose\n\
* =======\n\
* \n\
* CLA_RPVGRW 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\
* N (input) INTEGER\n\
* The number of linear equations, i.e., the order of the\n\
* matrix A. N >= 0.\n\
*\n\
* NCOLS (input) INTEGER\n\
* The number of columns of the matrix A. NCOLS >= 0.\n\
*\n\
* A (input) COMPLEX 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) COMPLEX array, dimension (LDAF,N)\n\
* The factors L and U from the factorization\n\
* A = P*L*U as computed by CGETRF.\n\
*\n\
* LDAF (input) INTEGER\n\
* The leading dimension of the array AF. LDAF >= max(1,N).\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n INTEGER I, J\n REAL AMAX, UMAX, RPVGRW\n COMPLEX ZDUM\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC MAX, MIN, ABS, REAL, AIMAG\n\
* ..\n\
* .. Statement Functions ..\n REAL CABS1\n\
* ..\n\
* .. Statement Function Definitions ..\n CABS1( ZDUM ) = ABS( REAL( ZDUM ) ) + ABS( AIMAG( ZDUM ) )\n\
* ..\n"
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