NAME

       slasv2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL)
           SLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.

Function/Subroutine Documentation

   subroutine slasv2 (realF, realG, realH, realSSMIN, realSSMAX, realSNR, realCSR, realSNL,
       realCSL)
       SLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.

       Purpose:

            SLASV2 computes the singular value decomposition of a 2-by-2
            triangular matrix
               [  F   G  ]
               [  0   H  ].
            On return, abs(SSMAX) is the larger singular value, abs(SSMIN) is the
            smaller singular value, and (CSL,SNL) and (CSR,SNR) are the left and
            right singular vectors for abs(SSMAX), giving the decomposition

               [ CSL  SNL ] [  F   G  ] [ CSR -SNR ]  =  [ SSMAX   0   ]
               [-SNL  CSL ] [  0   H  ] [ SNR  CSR ]     [  0    SSMIN ].

       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
                     abs(SSMIN) is the smaller singular value.

           SSMAX

                     SSMAX is REAL
                     abs(SSMAX) is the larger singular value.

           SNL

                     SNL is REAL

           CSL

                     CSL is REAL
                     The vector (CSL, SNL) is a unit left singular vector for the
                     singular value abs(SSMAX).

           SNR

                     SNR is REAL

           CSR

                     CSR is REAL
                     The vector (CSR, SNR) is a unit right singular vector for the
                     singular value abs(SSMAX).

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

       Further Details:

             Any input parameter may be aliased with any output parameter.

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

             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 139 of file slasv2.f.

Author

       Generated automatically by Doxygen for LAPACK from the source code.