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π NAME π
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β¨ SYNOPSIS β¨
π§ Functions/Subroutines π§
subroutine SLAS2 (f, g, h, ssmin, ssmax)βSLAS2 computes singular values of a 2-by-2 triangular matrix.lowkey iconic.
π Function/Subroutine Documentation π
subroutine SLAS2 (real f, real g, real h, real ssmin, real ssmax)
SLAS2 computes singular values of a 2-by-2 triangular matrix. β¨
π Purpose π
okay so 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. periodt. π
π Parameters π
FβF is REAL; itβs the(1,1)element of the 2-by-2 matrix. slay.GβG is REAL; itβs the(1,2)element of the 2-by-2 matrix. πHβH is REAL; itβs the(2,2)element of the 2-by-2 matrix. π¦SSMINβSSMIN is REAL; itβs the smaller singular value. πSSMAXβSSMAX is REAL; itβs the larger singular value. β
π Author π
- Univ. of Tennessee
- Univ. of California Berkeley
- Univ. of Colorado Denver
- NAG Ltd.
π₯ Further Details π₯
- 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.
- 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 104 of file slas2.f. π―
π Author π
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