SRC/slas2.f(3)             Library Functions Manual             SRC/slas2.f(3)

NAME
       SRC/slas2.f

SYNOPSIS
   Functions/Subroutines
       subroutine slas2 (f, g, h, ssmin, ssmax)
           SLAS2 computes singular values of a 2-by-2 triangular matrix.

Function/Subroutine Documentation
   subroutine slas2 (real f, real g, real h, real ssmin, real ssmax)
       SLAS2 computes singular values of a 2-by-2 triangular matrix.

       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.

       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.
           !>
           !>  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 104 of file slas2.f.

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

LAPACK                          Version 3.12.0                  SRC/slas2.f(3)