dlazq3 man page on Scientific

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DLAZQ3(1)	    LAPACK auxiliary routine (version 3.1)	     DLAZQ3(1)

NAME
       DLAZQ3 - for deflation, computes a shift (TAU) and calls dqds

SYNOPSIS
       SUBROUTINE DLAZQ3( I0,  N0,  Z,	PP,  DMIN,  SIGMA, DESIG, QMAX, NFAIL,
			  ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, DN2,
			  TAU )

	   LOGICAL	  IEEE

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

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

	   DOUBLE	  PRECISION Z( * )

PURPOSE
       DLAZQ3 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) INTEGER
	      PP=0 for ping, PP=1 for pong.

       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.  TTYPE is passed as an argument in order to save its
	      value between calls to DLAZQ3

       DMIN1  (input/output) REAL
	      DMIN2    (input/output)  REAL  DN	     (input/output)  REAL  DN1
	      (input/output)   REAL    DN2	 (input/output)	   REAL	   TAU
	      (input/output)  REAL  These  are passed as arguments in order to
	      save their values between calls to DLAZQ3

	      This is a thread safe version of	DLASQ3,	 which	passes	TTYPE,
	      DMIN1,  DMIN2, DN, DN1. DN2 and TAU through the argument list in
	      place of declaring them in a SAVE statment.

 LAPACK auxiliary routine (versioOctober 2006			     DLAZQ3(1)
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