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---
:name: dla_syrpvgrw
:md5sum: 801aa0fa7e5fb338b1f7a6dbea3e4b55
:category: :function
:type: doublereal
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- info:
:type: integer
:intent: input
- a:
:type: doublereal
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- af:
:type: doublereal
:intent: input
:dims:
- ldaf
- n
- ldaf:
:type: integer
:intent: input
- ipiv:
:type: integer
:intent: input
:dims:
- n
- work:
:type: doublereal
:intent: input
:dims:
- 2*n
:substitutions: {}
:fortran_help: " DOUBLE PRECISION FUNCTION DLA_SYRPVGRW( UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK )\n\n\
* Purpose\n\
* =======\n\
* \n\
* DLA_SYRPVGRW 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\
* N (input) INTEGER\n\
* The number of linear equations, i.e., the order of the\n\
* matrix A. N >= 0.\n\
*\n\
* INFO (input) INTEGER\n\
* The value of INFO returned from DSYTRF, .i.e., the pivot in\n\
* column INFO is exactly 0.\n\
*\n\
* NCOLS (input) INTEGER\n\
* The number of columns of the matrix A. NCOLS >= 0.\n\
*\n\
* A (input) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension (LDAF,N)\n\
* The block diagonal matrix D and the multipliers used to\n\
* obtain the factor U or L as computed by DSYTRF.\n\
*\n\
* LDAF (input) INTEGER\n\
* The leading dimension of the array AF. LDAF >= max(1,N).\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* Details of the interchanges and the block structure of D\n\
* as determined by DSYTRF.\n\
*\n\
* WORK (input) DOUBLE PRECISION array, dimension (2*N)\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n INTEGER NCOLS, I, J, K, KP\n DOUBLE PRECISION AMAX, UMAX, RPVGRW, TMP\n LOGICAL UPPER\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC ABS, MAX, MIN\n\
* ..\n\
* .. External Functions ..\n EXTERNAL LSAME, DLASET\n LOGICAL LSAME\n\
* ..\n"
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