DLAS2 - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK auxiliary routine (version 3.2)
Note : LAPACK auxiliary routine (version 3.2)
NAMEDLAS2 - computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]
SYNOPSISSUBROUTINE DLAS2(  F, G, H, SSMIN, SSMAX )  DOUBLE PRECISION F, G, H, SSMAX, SSMIN
PURPOSEDLAS2 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.
ARGUMENTSF (input) DOUBLE PRECISION  The (1,1) element of the 2-by-2 matrix. G (input) DOUBLE PRECISION  The (1,2) element of the 2-by-2 matrix. H (input) DOUBLE PRECISION  The (2,2) element of the 2-by-2 matrix. SSMIN (output) DOUBLE PRECISION  The smaller singular value. SSMAX (output) DOUBLE PRECISION  The larger singular value.
FURTHER DETAILSBarring 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.
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