File: dlaqsb

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--- 
:name: dlaqsb
:md5sum: c7dc33589acebc95caeb49a34f486200
:category: :subroutine
:arguments: 
- uplo: 
    :type: char
    :intent: input
- n: 
    :type: integer
    :intent: input
- kd: 
    :type: integer
    :intent: input
- ab: 
    :type: doublereal
    :intent: input/output
    :dims: 
    - ldab
    - n
- ldab: 
    :type: integer
    :intent: input
- s: 
    :type: doublereal
    :intent: input
    :dims: 
    - n
- scond: 
    :type: doublereal
    :intent: input
- amax: 
    :type: doublereal
    :intent: input
- equed: 
    :type: char
    :intent: output
:substitutions: {}

:fortran_help: "      SUBROUTINE DLAQSB( UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED )\n\n\
  *  Purpose\n\
  *  =======\n\
  *\n\
  *  DLAQSB equilibrates a symmetric band matrix A using the scaling\n\
  *  factors 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\
  *  KD      (input) INTEGER\n\
  *          The number of super-diagonals of the matrix A if UPLO = 'U',\n\
  *          or the number of sub-diagonals if UPLO = 'L'.  KD >= 0.\n\
  *\n\
  *  AB      (input/output) DOUBLE PRECISION array, dimension (LDAB,N)\n\
  *          On entry, the upper or lower triangle of the symmetric band\n\
  *          matrix A, stored in the first KD+1 rows of the array.  The\n\
  *          j-th column of A is stored in the j-th column of the array AB\n\
  *          as follows:\n\
  *          if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;\n\
  *          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd).\n\
  *\n\
  *          On exit, if INFO = 0, the triangular factor U or L from the\n\
  *          Cholesky factorization A = U'*U or A = L*L' of the band\n\
  *          matrix A, in the same storage format as A.\n\
  *\n\
  *  LDAB    (input) INTEGER\n\
  *          The leading dimension of the array AB.  LDAB >= KD+1.\n\
  *\n\
  *  S       (input) DOUBLE PRECISION array, dimension (N)\n\
  *          The scale factors for A.\n\
  *\n\
  *  SCOND   (input) DOUBLE PRECISION\n\
  *          Ratio of the smallest S(i) to the largest S(i).\n\
  *\n\
  *  AMAX    (input) DOUBLE PRECISION\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"