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RedHat 9 (Linux i386) - man page for slas2 (redhat section l)

SLAS2(l)						  )						     SLAS2(l)

NAME
SLAS2 - compute the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]
SYNOPSIS
SUBROUTINE SLAS2( F, G, H, SSMIN, SSMAX ) REAL F, G, H, SSMAX, SSMIN
PURPOSE
SLAS2 computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]. On return, SSMIN is the smaller sin- gular value and SSMAX is the larger singular value.
ARGUMENTS
F (input) REAL The (1,1) element of the 2-by-2 matrix. G (input) REAL The (1,2) element of the 2-by-2 matrix. H (input) REAL The (2,2) element of the 2-by-2 matrix. SSMIN (output) REAL The smaller singular value. SSMAX (output) REAL The larger singular value.
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 over- flow. (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 per- turbations of size near the underflow threshold. LAPACK version 3.0 15 June 2000 SLAS2(l)


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