Man page - lartv(3)

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Manual

lartv

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clartv (integer n, complex, dimension( * ) x, integer incx,complex, dimension( * ) y, integer incy, real, dimension( * ) c,complex, dimension( * ) s, integer incc)
subroutine dlartv (integer n, double precision, dimension( * ) x, integerincx, double precision, dimension( * ) y, integer incy, doubleprecision, dimension( * ) c, double precision, dimension( * ) s,integer incc)
subroutine slartv (integer n, real, dimension( * ) x, integer incx, real,dimension( * ) y, integer incy, real, dimension( * ) c, real,dimension( * ) s, integer incc)
subroutine zlartv (integer n, complex*16, dimension( * ) x, integer incx,complex*16, dimension( * ) y, integer incy, double precision,dimension( * ) c, complex*16, dimension( * ) s, integer incc)
Author

NAME

lartv - lartv: apply vector of plane rotations to vectors

SYNOPSIS

Functions

subroutine clartv (n, x, incx, y, incy, c, s, incc)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.
subroutine dlartv (n, x, incx, y, incy, c, s, incc)
DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.
subroutine slartv (n, x, incx, y, incy, c, s, incc)
SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.
subroutine zlartv (n, x, incx, y, incy, c, s, incc)
ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Detailed Description

Function Documentation

subroutine clartv (integer n, complex, dimension( * ) x, integer incx,complex, dimension( * ) y, integer incy, real, dimension( * ) c,complex, dimension( * ) s, integer incc)

CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

CLARTV applies a vector of complex plane rotations with real cosines
to elements of the complex vectors x and y. For i = 1,2,...,n

( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -conjg(s(i)) c(i) ) ( y(i) )

Parameters

N

N is INTEGER
The number of plane rotations to be applied.

X

X is COMPLEX array, dimension (1+(N-1)*INCX)
The vector x.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

Y

Y is COMPLEX array, dimension (1+(N-1)*INCY)
The vector y.

INCY

INCY is INTEGER
The increment between elements of Y. INCY > 0.

C

C is REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S

S is COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC

INCC is INTEGER
The increment between elements of C and S. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dlartv (integer n, double precision, dimension( * ) x, integerincx, double precision, dimension( * ) y, integer incy, doubleprecision, dimension( * ) c, double precision, dimension( * ) s,integer incc)

DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

DLARTV applies a vector of real plane rotations to elements of the
real vectors x and y. For i = 1,2,...,n

( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -s(i) c(i) ) ( y(i) )

Parameters

N

N is INTEGER
The number of plane rotations to be applied.

X

X is DOUBLE PRECISION array,
dimension (1+(N-1)*INCX)
The vector x.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

Y

Y is DOUBLE PRECISION array,
dimension (1+(N-1)*INCY)
The vector y.

INCY

INCY is INTEGER
The increment between elements of Y. INCY > 0.

C

C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S

S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC

INCC is INTEGER
The increment between elements of C and S. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine slartv (integer n, real, dimension( * ) x, integer incx, real,dimension( * ) y, integer incy, real, dimension( * ) c, real,dimension( * ) s, integer incc)

SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors.

Purpose:

SLARTV applies a vector of real plane rotations to elements of the
real vectors x and y. For i = 1,2,...,n

( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -s(i) c(i) ) ( y(i) )

Parameters

N

N is INTEGER
The number of plane rotations to be applied.

X

X is REAL array,
dimension (1+(N-1)*INCX)
The vector x.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

Y

Y is REAL array,
dimension (1+(N-1)*INCY)
The vector y.

INCY

INCY is INTEGER
The increment between elements of Y. INCY > 0.

C

C is REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S

S is REAL array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC

INCC is INTEGER
The increment between elements of C and S. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zlartv (integer n, complex*16, dimension( * ) x, integer incx,complex*16, dimension( * ) y, integer incy, double precision,dimension( * ) c, complex*16, dimension( * ) s, integer incc)

ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

ZLARTV applies a vector of complex plane rotations with real cosines
to elements of the complex vectors x and y. For i = 1,2,...,n

( x(i) ) := ( c(i) s(i) ) ( x(i) )
( y(i) ) ( -conjg(s(i)) c(i) ) ( y(i) )

Parameters

N

N is INTEGER
The number of plane rotations to be applied.

X

X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
The vector x.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

Y

Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
The vector y.

INCY

INCY is INTEGER
The increment between elements of Y. INCY > 0.

C

C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S

S is COMPLEX*16 array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC

INCC is INTEGER
The increment between elements of C and S. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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