table of contents
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 precision F, double precision G, double precision H, double precision SSMIN, double precision SSMAX)¶
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:
December 2016
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 109 of file dlas2.f.
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
Tue Nov 14 2017 | Version 3.8.0 |