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lacrt(3) LAPACK lacrt(3)

NAME

lacrt - lacrt: apply plane rotation (unused?)

SYNOPSIS

Functions


subroutine clacrt (n, cx, incx, cy, incy, c, s)
CLACRT performs a linear transformation of a pair of complex vectors. subroutine zlacrt (n, cx, incx, cy, incy, c, s)
ZLACRT performs a linear transformation of a pair of complex vectors.

Detailed Description

Function Documentation

subroutine clacrt (integer n, complex, dimension( * ) cx, integer incx, complex, dimension( * ) cy, integer incy, complex c, complex s)

CLACRT performs a linear transformation of a pair of complex vectors.

Purpose:


CLACRT performs the operation
( c s )( x ) ==> ( x )
( -s c )( y ) ( y )
where c and s are complex and the vectors x and y are complex.

Parameters

N


N is INTEGER
The number of elements in the vectors CX and CY.

CX


CX is COMPLEX array, dimension (N)
On input, the vector x.
On output, CX is overwritten with c*x + s*y.

INCX


INCX is INTEGER
The increment between successive values of CX. INCX <> 0.

CY


CY is COMPLEX array, dimension (N)
On input, the vector y.
On output, CY is overwritten with -s*x + c*y.

INCY


INCY is INTEGER
The increment between successive values of CY. INCY <> 0.

C


C is COMPLEX

S


S is COMPLEX
C and S define the matrix
[ C S ].
[ -S C ]

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zlacrt (integer n, complex*16, dimension( * ) cx, integer incx, complex*16, dimension( * ) cy, integer incy, complex*16 c, complex*16 s)

ZLACRT performs a linear transformation of a pair of complex vectors.

Purpose:


ZLACRT performs the operation
( c s )( x ) ==> ( x )
( -s c )( y ) ( y )
where c and s are complex and the vectors x and y are complex.

Parameters

N


N is INTEGER
The number of elements in the vectors CX and CY.

CX


CX is COMPLEX*16 array, dimension (N)
On input, the vector x.
On output, CX is overwritten with c*x + s*y.

INCX


INCX is INTEGER
The increment between successive values of CX. INCX <> 0.

CY


CY is COMPLEX*16 array, dimension (N)
On input, the vector y.
On output, CY is overwritten with -s*x + c*y.

INCY


INCY is INTEGER
The increment between successive values of CY. INCY <> 0.

C


C is COMPLEX*16

S


S is COMPLEX*16
C and S define the matrix
[ C S ].
[ -S C ]

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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Wed Feb 7 2024 11:30:40 Version 3.12.0