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dlartgs.f(3) LAPACK dlartgs.f(3)

NAME

dlartgs.f

SYNOPSIS

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.

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.

Author

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Tue Nov 14 2017 Version 3.8.0