zlaqr1 (l) - Linux Manuals

NAME

SYNOPSIS

SUBROUTINE ZLAQR1(
N, H, LDH, S1, S2, V )

    
COMPLEX*16 S1, S2

    
INTEGER LDH, N

    
COMPLEX*16 H( LDH, * ), V( * )

    
COMPLEX*16 ZERO

    
PARAMETER ( ZERO = ( 0.0d0, 0.0d0 ) )

    
DOUBLE PRECISION RZERO

    
PARAMETER ( RZERO = 0.0d0 )

    
COMPLEX*16 CDUM, H21S, H31S

    
DOUBLE PRECISION S

    
INTRINSIC ABS, DBLE, DIMAG

    
DOUBLE PRECISION CABS1

    
CABS1( CDUM ) = ABS( DBLE( CDUM ) ) + ABS( DIMAG( CDUM ) )

    
IF( N.EQ.2 ) THEN

    
S = CABS1( H( 1, 1 )-S2 ) + CABS1( H( 2, 1 ) )

    
IF( S.EQ.RZERO ) THEN

    
V( 1 ) = ZERO

    
V( 2 ) = ZERO

    
ELSE

    
H21S = H( 2, 1 ) / S

    
V( 1 ) = H21S*H( 1, 2 ) + ( H( 1, 1 )-S1 )* ( ( H( 1, 1 )-S2 ) / S )

    
V( 2 ) = H21S*( H( 1, 1 )+H( 2, 2 )-S1-S2 )

    
END IF

    
ELSE

    
S = CABS1( H( 1, 1 )-S2 ) + CABS1( H( 2, 1 ) ) + CABS1( H( 3, 1 ) )

    
IF( S.EQ.ZERO ) THEN

    
V( 1 ) = ZERO

    
V( 2 ) = ZERO

    
V( 3 ) = ZERO

    
ELSE

    
H21S = H( 2, 1 ) / S

    
H31S = H( 3, 1 ) / S

    
V( 1 ) = ( H( 1, 1 )-S1 )*( ( H( 1, 1 )-S2 ) / S ) + H( 1, 2 )*H21S + H( 1, 3 )*H31S

    
V( 2 ) = H21S*( H( 1, 1 )+H( 2, 2 )-S1-S2 ) + H( 2, 3 )*H31S

    
V( 3 ) = H31S*( H( 1, 1 )+H( 3, 3 )-S1-S2 ) + H21S*H( 3, 2 )

    
END IF

    
END IF

    
END

PURPOSE