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dlas2.f(3) LAPACK dlas2.f(3)

NAME

dlas2.f -

SYNOPSIS

Functions/Subroutines


subroutine dlas2 (F, G, H, SSMIN, SSMAX)
 
DLAS2 computes singular values of a 2-by-2 triangular matrix.

Function/Subroutine Documentation

subroutine dlas2 (double precisionF, double precisionG, double precisionH, double precisionSSMIN, double precisionSSMAX)

DLAS2 computes singular values of a 2-by-2 triangular matrix.
Purpose:
 DLAS2  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 DOUBLE PRECISION
          The (1,1) element of the 2-by-2 matrix.
G
          G is DOUBLE PRECISION
          The (1,2) element of the 2-by-2 matrix.
H
          H is DOUBLE PRECISION
          The (2,2) element of the 2-by-2 matrix.
SSMIN
          SSMIN is DOUBLE PRECISION
          The smaller singular value.
SSMAX
          SSMAX is DOUBLE PRECISION
          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 dlas2.f.

Author

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