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NAME
     slasq4 - SLASQ4 estimates TAU, the smallest eigenvalue of  a
     matrix

SYNOPSIS
     SUBROUTINE SLASQ4( N, Q, E, TAU, SUP )

     INTEGER N

     REAL SUP, TAU

     REAL E( * ), Q( * )



     #include <sunperf.h>

     void slasq4(int n, float *q, float  *e,  float  *tau,  float
               *sup) ;

PURPOSE
     SLASQ4 estimates TAU, the smallest eigenvalue of  a  matrix.
     This  routine  improves  the  input value of SUP which is an
     upper bound for the smallest eigenvalue for this matrix.


ARGUMENTS
     N         (input) INTEGER
               On entry, N  specifies  the  number  of  rows  and
               columns in the matrix. N must be at least 0.

     Q         (input) REAL array, dimension (N)
               Q array

     E         (input) REAL array, dimension (N)
               E array

     TAU       (output) REAL
               Estimate of the shift

     SUP       (input/output) REAL
               Upper bound for the smallest singular value

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