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claqr1.f(3) LAPACK claqr1.f(3)

NAME

claqr1.f -

SYNOPSIS

Functions/Subroutines


subroutine claqr1 (N, H, LDH, S1, S2, V)
 
CLAQR1

Function/Subroutine Documentation

subroutine claqr1 (integerN, complex, dimension( ldh, * )H, integerLDH, complexS1, complexS2, complex, dimension( * )V)

CLAQR1
Purpose:
 
      Given a 2-by-2 or 3-by-3 matrix H, CLAQR1 sets v to a
      scalar multiple of the first column of the product
(*) K = (H - s1*I)*(H - s2*I)
scaling to avoid overflows and most underflows.
This is useful for starting double implicit shift bulges in the QR algorithm.
 
Parameters:
N
          N is integer
              Order of the matrix H. N must be either 2 or 3.
 
H
          H is COMPLEX array of dimension (LDH,N)
              The 2-by-2 or 3-by-3 matrix H in (*).
 
LDH
          LDH is integer
              The leading dimension of H as declared in
              the calling procedure.  LDH.GE.N
 
S1
          S1 is COMPLEX
 
S2
          S2 is COMPLEX
S1 and S2 are the shifts defining K in (*) above.
 
V
          V is COMPLEX array of dimension N
              A scalar multiple of the first column of the
              matrix K in (*).
 
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Contributors:
Karen Braman and Ralph Byers, Department of Mathematics, University of Kansas, USA
 
Definition at line 108 of file claqr1.f.

Author

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