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---
:name: claqsp
:md5sum: 8848a8c7da22b13fd5e2a4b1707cf25c
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: complex
:intent: input/output
:dims:
- n*(n+1)/2
- s:
:type: real
:intent: input
:dims:
- n
- scond:
:type: real
:intent: input
- amax:
:type: real
:intent: input
- equed:
:type: char
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CLAQSP( UPLO, N, AP, S, SCOND, AMAX, EQUED )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CLAQSP equilibrates a symmetric matrix A using the scaling factors\n\
* in the vector S.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* Specifies whether the upper or lower triangular part of the\n\
* symmetric matrix A is stored.\n\
* = 'U': Upper triangular\n\
* = 'L': Lower triangular\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* AP (input/output) COMPLEX array, dimension (N*(N+1)/2)\n\
* On entry, the upper or lower triangle of the symmetric matrix\n\
* A, packed columnwise in a linear array. The j-th column of A\n\
* is stored in the array AP as follows:\n\
* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;\n\
* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.\n\
*\n\
* On exit, the equilibrated matrix: diag(S) * A * diag(S), in\n\
* the same storage format as A.\n\
*\n\
* S (input) REAL array, dimension (N)\n\
* The scale factors for A.\n\
*\n\
* SCOND (input) REAL\n\
* Ratio of the smallest S(i) to the largest S(i).\n\
*\n\
* AMAX (input) REAL\n\
* Absolute value of largest matrix entry.\n\
*\n\
* EQUED (output) CHARACTER*1\n\
* Specifies whether or not equilibration was done.\n\
* = 'N': No equilibration.\n\
* = 'Y': Equilibration was done, i.e., A has been replaced by\n\
* diag(S) * A * diag(S).\n\
*\n\
* Internal Parameters\n\
* ===================\n\
*\n\
* THRESH is a threshold value used to decide if scaling should be done\n\
* based on the ratio of the scaling factors. If SCOND < THRESH,\n\
* scaling is done.\n\
*\n\
* LARGE and SMALL are threshold values used to decide if scaling should\n\
* be done based on the absolute size of the largest matrix element.\n\
* If AMAX > LARGE or AMAX < SMALL, scaling is done.\n\
*\n\n\
* =====================================================================\n\
*\n"
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