dlartgs.f File Reference

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Functions/Subroutines
subroutine	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.

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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.

Download DLARTGS + dependencies [TGZ] [ZIP] [TXT]

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:

[in]	X	X is DOUBLE PRECISION The (1,1) entry of an upper bidiagonal matrix.
[in]	Y	Y is DOUBLE PRECISION The (1,2) entry of an upper bidiagonal matrix.
[in]	SIGMA	SIGMA is DOUBLE PRECISION The shift.
[out]	CS	CS is DOUBLE PRECISION The cosine of the rotation.
[out]	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:

September 2012

Definition at line 91 of file dlartgs.f.

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