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clags2.f(3) LAPACK clags2.f(3)

NAME

clags2.f -

SYNOPSIS

Functions/Subroutines


subroutine clags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
 
CLAGS2

Function/Subroutine Documentation

subroutine clags2 (logicalUPPER, realA1, complexA2, realA3, realB1, complexB2, realB3, realCSU, complexSNU, realCSV, complexSNV, realCSQ, complexSNQ)

CLAGS2
Purpose:
 CLAGS2 computes 2-by-2 unitary matrices U, V and Q, such
 that if ( UPPER ) then
U**H *A*Q = U**H *( A1 A2 )*Q = ( x 0 ) ( 0 A3 ) ( x x ) and V**H*B*Q = V**H *( B1 B2 )*Q = ( x 0 ) ( 0 B3 ) ( x x )
or if ( .NOT.UPPER ) then
U**H *A*Q = U**H *( A1 0 )*Q = ( x x ) ( A2 A3 ) ( 0 x ) and V**H *B*Q = V**H *( B1 0 )*Q = ( x x ) ( B2 B3 ) ( 0 x ) where
U = ( CSU SNU ), V = ( CSV SNV ), ( -SNU**H CSU ) ( -SNV**H CSV )
Q = ( CSQ SNQ ) ( -SNQ**H CSQ )
The rows of the transformed A and B are parallel. Moreover, if the input 2-by-2 matrix A is not zero, then the transformed (1,1) entry of A is not zero. If the input matrices A and B are both not zero, then the transformed (2,2) element of B is not zero, except when the first rows of input A and B are parallel and the second rows are zero.
Parameters:
UPPER
          UPPER is LOGICAL
          = .TRUE.: the input matrices A and B are upper triangular.
          = .FALSE.: the input matrices A and B are lower triangular.
A1
          A1 is REAL
A2
          A2 is COMPLEX
A3
          A3 is REAL
          On entry, A1, A2 and A3 are elements of the input 2-by-2
          upper (lower) triangular matrix A.
B1
          B1 is REAL
B2
          B2 is COMPLEX
B3
          B3 is REAL
          On entry, B1, B2 and B3 are elements of the input 2-by-2
          upper (lower) triangular matrix B.
CSU
          CSU is REAL
SNU
          SNU is COMPLEX
          The desired unitary matrix U.
CSV
          CSV is REAL
SNV
          SNV is COMPLEX
          The desired unitary matrix V.
CSQ
          CSQ is REAL
SNQ
          SNQ is COMPLEX
          The desired unitary matrix Q.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 158 of file clags2.f.

Author

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