slartgs.f man page

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 (real X, real Y, real SIGMA, real CS, real SN)

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:

December 2016

Definition at line 92 of file slartgs.f.

Author

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Referenced By

The man page slartgs(3) is an alias of slartgs.f(3).

Sat Jun 24 2017 Version 3.7.1 LAPACK