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| slanv2.f(3) | LAPACK | slanv2.f(3) | 
NAME¶
slanv2.f -SYNOPSIS¶
Functions/Subroutines¶
subroutine slanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN)
Function/Subroutine Documentation¶
subroutine slanv2 (realA, realB, realC, realD, realRT1R, realRT1I, realRT2R, realRT2I, realCS, realSN)¶
SLANV2 Purpose: SLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric
 matrix in standard form:
      [ A  B ] = [ CS -SN ] [ AA  BB ] [ CS  SN ]
      [ C  D ]   [ SN  CS ] [ CC  DD ] [-SN  CS ]
 where either
 1) CC = 0 so that AA and DD are real eigenvalues of the matrix, or
 2) AA = DD and BB*CC < 0, so that AA + or - sqrt(BB*CC) are complex
 conjugate eigenvalues.
A
 
B
 
C
 
D
 
RT1R
 
RT1I
 
RT2R
 
RT2I
 
CS
 
SN
 
Author:
A is REAL
B is REAL
C is REAL
          D is REAL
          On entry, the elements of the input matrix.
          On exit, they are overwritten by the elements of the
          standardised Schur form.
RT1R is REAL
RT1I is REAL
RT2R is REAL
          RT2I is REAL
          The real and imaginary parts of the eigenvalues. If the
          eigenvalues are a complex conjugate pair, RT1I > 0.
CS is REAL
          SN is REAL
          Parameters of the rotation matrix.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Further Details: 
Modified by V. Sima, Research Institute for Informatics, Bucharest, Romania, to reduce the risk of cancellation errors, when computing real eigenvalues, and to ensure, if possible, that abs(RT1R) >= abs(RT2R).
Author¶
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