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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 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 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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author¶
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Tue Jan 14 2025 16:19:47 | Version 3.12.0 |