dlartgs.f - Online Linux Manual PageSection : 3
Updated : Tue Nov 14 2017
Source : Version 3.8.0
Note : LAPACK
NAMEdlartgs.f
SYNOPSIS
Functions/Subroutinessubroutine dlartgs (X, Y, SIGMA, CS, SN)
DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem.
Function/Subroutine Documentation
subroutine dlartgs (double precision X, double precision Y, double precision SIGMA, double precision CS, double precision SN)DLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem. Purpose: DLARTGS generates a plane rotation designed to introduce a bulge in
Golub-Reinsch-style implicit QR iteration for the bidiagonal SVD
problem. X and Y are the top-row entries, and SIGMA is the shift.
The computed CS and SN define a plane rotation satisfying
[ CS SN ] . [ X^2 - SIGMA ] = [ R ],
[ -SN CS ] [ X * Y ] [ 0 ]
with R nonnegative. If X^2 - SIGMA and X * Y are 0, then the
rotation is by PI/2.Parameters: X X is DOUBLE PRECISION
The (1,1) entry of an upper bidiagonal matrix.
Y Y is DOUBLE PRECISION
The (1,2) entry of an upper bidiagonal matrix.
SIGMA SIGMA is DOUBLE PRECISION
The shift.
CS CS is DOUBLE PRECISION
The cosine of the rotation.
SN SN is DOUBLE PRECISION
The sine of the rotation.Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2017 Definition at line 92 of file dlartgs.f.
AuthorGenerated automatically by Doxygen for LAPACK from the source code. 0
Johanes Gumabo
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