slaqr1.f File Reference

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Functions/Subroutines
subroutine	slaqr1 (N, H, LDH, SR1, SI1, SR2, SI2, V)
	SLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts.

---

Function/Subroutine Documentation

subroutine slaqr1	(	integer	N,
		real, dimension( ldh, * )	H,
		integer	LDH,
		real	SR1,
		real	SI1,
		real	SR2,
		real	SI2,
		real, dimension( * )	V
	)

SLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts.

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Purpose:

      Given a 2-by-2 or 3-by-3 matrix H, SLAQR1 sets v to a
      scalar multiple of the first column of the product

      (*)  K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)

      scaling to avoid overflows and most underflows. It
      is assumed that either

              1) sr1 = sr2 and si1 = -si2
          or
              2) si1 = si2 = 0.

      This is useful for starting double implicit shift bulges
      in the QR algorithm.

Parameters:

[in]	N	N is integer Order of the matrix H. N must be either 2 or 3.
[in]	H	H is REAL array of dimension (LDH,N) The 2-by-2 or 3-by-3 matrix H in (*).
[in]	LDH	LDH is integer The leading dimension of H as declared in the calling procedure. LDH.GE.N
[in]	SR1	SR1 is REAL
[in]	SI1	SI1 is REAL
[in]	SR2	SR2 is REAL
[in]	SI2	SI2 is REAL The shifts in (*).
[out]	V	V is REAL 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:

September 2012

Contributors:

Karen Braman and Ralph Byers, Department of Mathematics, University of Kansas, USA

Definition at line 122 of file slaqr1.f.

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