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slartgs.f(3) LAPACK slartgs.f(3)

NAME

slartgs.f -

SYNOPSIS

Functions/Subroutines


subroutine slartgs (X, Y, SIGMA, CS, SN)
 
SLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem.

Function/Subroutine Documentation

subroutine slartgs (realX, realY, realSIGMA, realCS, realSN)

SLARTGS generates a plane rotation designed to introduce a bulge in implicit QR iteration for the bidiagonal SVD problem.
Purpose: 
 SLARTGS 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 REAL
          The (1,1) entry of an upper bidiagonal matrix.
Y 
          Y is REAL
          The (1,2) entry of an upper bidiagonal matrix.
SIGMA 
          SIGMA is REAL
          The shift.
CS 
          CS is REAL
          The cosine of the rotation.
SN 
          SN is REAL
          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 slartgs.f.

Author

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