Scroll to navigation

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

NAME

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 (realF, realG, realH, realSSMIN, realSSMAX)

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.
Date:
September 2012
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.
Wed Oct 15 2014 Version 3.4.2