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)