dlasq3 man page on Scientific

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DLASQ3(1LAPACK routine (version 3.2)				     DLASQ3(1)

NAME
       DLASQ3 - checks for deflation, computes a shift (TAU) and calls dqds

SYNOPSIS
       SUBROUTINE DLASQ3( I0,  N0,  Z,	PP,  DMIN,  SIGMA, DESIG, QMAX, NFAIL,
			  ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, DN2,
			  G, TAU )

	   LOGICAL	  IEEE

	   INTEGER	  I0, ITER, N0, NDIV, NFAIL, PP

	   DOUBLE	  PRECISION  DESIG,  DMIN, DMIN1, DMIN2, DN, DN1, DN2,
			  G, QMAX, SIGMA, TAU

	   DOUBLE	  PRECISION Z( * )

PURPOSE
       DLASQ3 checks for deflation, computes a shift (TAU) and calls dqds.  In
       case of failure it changes shifts, and tries again until output is pos‐
       itive.

ARGUMENTS
       I0     (input) INTEGER
	      First index.

       N0     (input) INTEGER
	      Last index.

       Z      (input) DOUBLE PRECISION array, dimension ( 4*N )
	      Z holds the qd array.

       PP     (input/output) INTEGER
	      PP=0 for ping, PP=1 for pong.  PP=2 indicates that flipping  was
	      applied  to the Z array and that the initial tests for deflation
	      should not be performed.

       DMIN   (output) DOUBLE PRECISION
	      Minimum value of d.

       SIGMA  (output) DOUBLE PRECISION
	      Sum of shifts used in current segment.

       DESIG  (input/output) DOUBLE PRECISION
	      Lower order part of SIGMA

       QMAX   (input) DOUBLE PRECISION
	      Maximum value of q.

       NFAIL  (output) INTEGER
	      Number of times shift was too big.

       ITER   (output) INTEGER
	      Number of iterations.

       NDIV   (output) INTEGER
	      Number of divisions.

       IEEE   (input) LOGICAL
	      Flag for IEEE or non IEEE arithmetic (passed to DLASQ5).

       TTYPE  (input/output) INTEGER
	      Shift type.  DMIN1, DMIN2, DN, DN1, DN2, G,  TAU	(input/output)
	      DOUBLE  PRECISION These are passed as arguments in order to save
	      their values between calls to DLASQ3.

 LAPACK routine (version 3.2)	 November 2008			     DLASQ3(1)
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