slas2(l) [redhat man page]

SLAS2(l)								 )								  SLAS2(l)

NAME

       SLAS2 - compute the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]

SYNOPSIS

       SUBROUTINE SLAS2( F, G, H, SSMIN, SSMAX )

	   REAL 	 F, G, H, SSMAX, SSMIN

PURPOSE

       SLAS2  computes	the  singular values of the 2-by-2 matrix [ F G ] [ 0 H ]. On return, SSMIN is the smaller singular value and SSMAX is the
       larger singular value.

ARGUMENTS

       F       (input) REAL
	       The (1,1) element of the 2-by-2 matrix.

       G       (input) REAL
	       The (1,2) element of the 2-by-2 matrix.

       H       (input) REAL
	       The (2,2) element of the 2-by-2 matrix.

       SSMIN   (output) REAL
	       The smaller singular value.

       SSMAX   (output) REAL
	       The larger singular value.

FURTHER DETAILS

       Barring over/underflow, all output quantities are correct to within a few units in the last place (ulps), even in the absence  of  a  guard
       digit in addition/subtraction.

       In IEEE arithmetic, the code works correctly if one matrix element is infinite.

       Overflow  will not occur unless the largest singular value itself overflows, or is within a few ulps of overflow. (On machines with partial
       overflow, like the Cray, overflow may occur if the largest singular value is within a factor of 2 of overflow.)

       Underflow is harmless if underflow is gradual. Otherwise, results may correspond to a matrix modified by perturbations  of  size  near  the
       underflow threshold.

LAPACK version 3.0						   15 June 2000 							  SLAS2(l)

slas2.f(3)							      LAPACK								slas2.f(3)

NAME

       slas2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slas2 (F, G, H, SSMIN, SSMAX)
	   SLAS2

Function/Subroutine Documentation
   subroutine slas2 (realF, realG, realH, realSSMIN, realSSMAX)
       SLAS2

       Purpose:

	    SLAS2  computes the singular values of the 2-by-2 matrix
	       [  F   G  ]
	       [  0   H  ].
	    On return, SSMIN is the smaller singular value and SSMAX is the
	    larger singular value.

       Parameters:
	   F

		     F is REAL
		     The (1,1) element of the 2-by-2 matrix.

	   G

		     G is REAL
		     The (1,2) element of the 2-by-2 matrix.

	   H

		     H is REAL
		     The (2,2) element of the 2-by-2 matrix.

	   SSMIN

		     SSMIN is REAL
		     The smaller singular value.

	   SSMAX

		     SSMAX is REAL
		     The larger singular value.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

	     Barring over/underflow, all output quantities are correct to within
	     a few units in the last place (ulps), even in the absence of a guard
	     digit in addition/subtraction.

	     In IEEE arithmetic, the code works correctly if one matrix element is
	     infinite.

	     Overflow will not occur unless the largest singular value itself
	     overflows, or is within a few ulps of overflow. (On machines with
	     partial overflow, like the Cray, overflow may occur if the largest
	     singular value is within a factor of 2 of overflow.)

	     Underflow is harmless if underflow is gradual. Otherwise, results
	     may correspond to a matrix modified by perturbations of size near
	     the underflow threshold.

       Definition at line 108 of file slas2.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013							slas2.f(3)