--- rpl/lapack/lapack/zlags2.f	2010/12/21 13:53:49	1.7
+++ rpl/lapack/lapack/zlags2.f	2011/07/22 07:38:17	1.8
@@ -1,10 +1,10 @@
       SUBROUTINE ZLAGS2( UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV,
      $                   SNV, CSQ, SNQ )
 *
-*  -- LAPACK auxiliary routine (version 3.2) --
+*  -- LAPACK auxiliary routine (version 3.3.1) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     November 2006
+*  -- April 2011                                                      --
 *
 *     .. Scalar Arguments ..
       LOGICAL            UPPER
@@ -18,28 +18,26 @@
 *  ZLAGS2 computes 2-by-2 unitary matrices U, V and Q, such
 *  that if ( UPPER ) then
 *
-*            U'*A*Q = U'*( A1 A2 )*Q = ( x  0  )
-*                        ( 0  A3 )     ( x  x  )
+*            U**H *A*Q = U**H *( A1 A2 )*Q = ( x  0  )
+*                              ( 0  A3 )     ( x  x  )
 *  and
-*            V'*B*Q = V'*( B1 B2 )*Q = ( x  0  )
-*                        ( 0  B3 )     ( x  x  )
+*            V**H*B*Q = V**H *( B1 B2 )*Q = ( x  0  )
+*                             ( 0  B3 )     ( x  x  )
 *
 *  or if ( .NOT.UPPER ) then
 *
-*            U'*A*Q = U'*( A1 0  )*Q = ( x  x  )
-*                        ( A2 A3 )     ( 0  x  )
+*            U**H *A*Q = U**H *( A1 0  )*Q = ( x  x  )
+*                              ( A2 A3 )     ( 0  x  )
 *  and
-*            V'*B*Q = V'*( B1 0  )*Q = ( x  x  )
-*                        ( B2 B3 )     ( 0  x  )
+*            V**H *B*Q = V**H *( B1 0  )*Q = ( x  x  )
+*                              ( B2 B3 )     ( 0  x  )
 *  where
 *
-*    U = (     CSU      SNU ), V = (     CSV     SNV ),
-*        ( -CONJG(SNU)  CSU )      ( -CONJG(SNV) CSV )
+*    U = (   CSU    SNU ), V = (  CSV    SNV ),
+*        ( -SNU**H  CSU )      ( -SNV**H CSV )
 *
-*    Q = (     CSQ      SNQ )
-*        ( -CONJG(SNQ)  CSQ )
-*
-*  Z' denotes the conjugate transpose of Z.
+*    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
@@ -135,8 +133,8 @@
          IF( ABS( CSL ).GE.ABS( SNL ) .OR. ABS( CSR ).GE.ABS( SNR ) )
      $        THEN
 *
-*           Compute the (1,1) and (1,2) elements of U'*A and V'*B,
-*           and (1,2) element of |U|'*|A| and |V|'*|B|.
+*           Compute the (1,1) and (1,2) elements of U**H *A and V**H *B,
+*           and (1,2) element of |U|**H *|A| and |V|**H *|B|.
 *
             UA11R = CSL*A1
             UA12 = CSL*A2 + D1*SNL*A3
@@ -147,7 +145,7 @@
             AUA12 = ABS( CSL )*ABS1( A2 ) + ABS( SNL )*ABS( A3 )
             AVB12 = ABS( CSR )*ABS1( B2 ) + ABS( SNR )*ABS( B3 )
 *
-*           zero (1,2) elements of U'*A and V'*B
+*           zero (1,2) elements of U**H *A and V**H *B
 *
             IF( ( ABS( UA11R )+ABS1( UA12 ) ).EQ.ZERO ) THEN
                CALL ZLARTG( -DCMPLX( VB11R ), DCONJG( VB12 ), CSQ, SNQ,
@@ -171,8 +169,8 @@
 *
          ELSE
 *
-*           Compute the (2,1) and (2,2) elements of U'*A and V'*B,
-*           and (2,2) element of |U|'*|A| and |V|'*|B|.
+*           Compute the (2,1) and (2,2) elements of U**H *A and V**H *B,
+*           and (2,2) element of |U|**H *|A| and |V|**H *|B|.
 *
             UA21 = -DCONJG( D1 )*SNL*A1
             UA22 = -DCONJG( D1 )*SNL*A2 + CSL*A3
@@ -183,7 +181,7 @@
             AUA22 = ABS( SNL )*ABS1( A2 ) + ABS( CSL )*ABS( A3 )
             AVB22 = ABS( SNR )*ABS1( B2 ) + ABS( CSR )*ABS( B3 )
 *
-*           zero (2,2) elements of U'*A and V'*B, and then swap.
+*           zero (2,2) elements of U**H *A and V**H *B, and then swap.
 *
             IF( ( ABS1( UA21 )+ABS1( UA22 ) ).EQ.ZERO ) THEN
                CALL ZLARTG( -DCONJG( VB21 ), DCONJG( VB22 ), CSQ, SNQ,
@@ -236,8 +234,8 @@
          IF( ABS( CSR ).GE.ABS( SNR ) .OR. ABS( CSL ).GE.ABS( SNL ) )
      $        THEN
 *
-*           Compute the (2,1) and (2,2) elements of U'*A and V'*B,
-*           and (2,1) element of |U|'*|A| and |V|'*|B|.
+*           Compute the (2,1) and (2,2) elements of U**H *A and V**H *B,
+*           and (2,1) element of |U|**H *|A| and |V|**H *|B|.
 *
             UA21 = -D1*SNR*A1 + CSR*A2
             UA22R = CSR*A3
@@ -248,7 +246,7 @@
             AUA21 = ABS( SNR )*ABS( A1 ) + ABS( CSR )*ABS1( A2 )
             AVB21 = ABS( SNL )*ABS( B1 ) + ABS( CSL )*ABS1( B2 )
 *
-*           zero (2,1) elements of U'*A and V'*B.
+*           zero (2,1) elements of U**H *A and V**H *B.
 *
             IF( ( ABS1( UA21 )+ABS( UA22R ) ).EQ.ZERO ) THEN
                CALL ZLARTG( DCMPLX( VB22R ), VB21, CSQ, SNQ, R )
@@ -268,8 +266,8 @@
 *
          ELSE
 *
-*           Compute the (1,1) and (1,2) elements of U'*A and V'*B,
-*           and (1,1) element of |U|'*|A| and |V|'*|B|.
+*           Compute the (1,1) and (1,2) elements of U**H *A and V**H *B,
+*           and (1,1) element of |U|**H *|A| and |V|**H *|B|.
 *
             UA11 = CSR*A1 + DCONJG( D1 )*SNR*A2
             UA12 = DCONJG( D1 )*SNR*A3
@@ -280,7 +278,7 @@
             AUA11 = ABS( CSR )*ABS( A1 ) + ABS( SNR )*ABS1( A2 )
             AVB11 = ABS( CSL )*ABS( B1 ) + ABS( SNL )*ABS1( B2 )
 *
-*           zero (1,1) elements of U'*A and V'*B, and then swap.
+*           zero (1,1) elements of U**H *A and V**H *B, and then swap.
 *
             IF( ( ABS1( UA11 )+ABS1( UA12 ) ).EQ.ZERO ) THEN
                CALL ZLARTG( VB12, VB11, CSQ, SNQ, R )