Man page - largv(3)

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Manual

largv

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clargv (integer n, complex, dimension( * ) x, integer incx,complex, dimension( * ) y, integer incy, real, dimension( * ) c,integer incc)
subroutine dlargv (integer n, double precision, dimension( * ) x, integerincx, double precision, dimension( * ) y, integer incy, doubleprecision, dimension( * ) c, integer incc)
subroutine slargv (integer n, real, dimension( * ) x, integer incx, real,dimension( * ) y, integer incy, real, dimension( * ) c, integer incc)
subroutine zlargv (integer n, complex*16, dimension( * ) x, integer incx,complex*16, dimension( * ) y, integer incy, double precision,dimension( * ) c, integer incc)
Author

NAME

largv - largv: generate vector of plane rotations

SYNOPSIS

Functions

subroutine clargv (n, x, incx, y, incy, c, incc)
CLARGV generates a vector of plane rotations with real cosines and complex sines.
subroutine dlargv (n, x, incx, y, incy, c, incc)
DLARGV generates a vector of plane rotations with real cosines and real sines.
subroutine slargv (n, x, incx, y, incy, c, incc)
SLARGV generates a vector of plane rotations with real cosines and real sines.
subroutine zlargv (n, x, incx, y, incy, c, incc)
ZLARGV generates a vector of plane rotations with real cosines and complex sines.

Detailed Description

Function Documentation

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

CLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:

CLARGV generates a vector of complex plane rotations with real
cosines, determined by elements of the complex vectors x and y.
For i = 1,2,...,n

( c(i) s(i) ) ( x(i) ) = ( r(i) )
( -conjg(s(i)) c(i) ) ( y(i) ) = ( 0 )

where c(i)**2 + ABS(s(i))**2 = 1

The following conventions are used (these are the same as in CLARTG,
but differ from the BLAS1 routine CROTG):
If y(i)=0, then c(i)=1 and s(i)=0.
If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.

Parameters

N

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

X

X is COMPLEX array, dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by r(i), for i = 1,...,n.

INCX

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

Y

Y is COMPLEX array, dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

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.

INCC

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel

This version has a few statements commented out for thread safety
(machine parameters are computed on each entry). 10 feb 03, SJH.

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

DLARGV generates a vector of plane rotations with real cosines and real sines.

Purpose:

DLARGV generates a vector of real plane rotations, determined by
elements of the real vectors x and y. For i = 1,2,...,n

( c(i) s(i) ) ( x(i) ) = ( a(i) )
( -s(i) c(i) ) ( y(i) ) = ( 0 )

Parameters

N

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

X

X is DOUBLE PRECISION array,
dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by a(i), for i = 1,...,n.

INCX

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

Y

Y is DOUBLE PRECISION array,
dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

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.

INCC

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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

SLARGV generates a vector of plane rotations with real cosines and real sines.

Purpose:

SLARGV generates a vector of real plane rotations, determined by
elements of the real vectors x and y. For i = 1,2,...,n

( c(i) s(i) ) ( x(i) ) = ( a(i) )
( -s(i) c(i) ) ( y(i) ) = ( 0 )

Parameters

N

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

X

X is REAL array,
dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by a(i), for i = 1,...,n.

INCX

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

Y

Y is REAL array,
dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

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.

INCC

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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

ZLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:

ZLARGV generates a vector of complex plane rotations with real
cosines, determined by elements of the complex vectors x and y.
For i = 1,2,...,n

( c(i) s(i) ) ( x(i) ) = ( r(i) )
( -conjg(s(i)) c(i) ) ( y(i) ) = ( 0 )

where c(i)**2 + ABS(s(i))**2 = 1

The following conventions are used (these are the same as in ZLARTG,
but differ from the BLAS1 routine ZROTG):
If y(i)=0, then c(i)=1 and s(i)=0.
If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.

Parameters

N

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

X

X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by r(i), for i = 1,...,n.

INCX

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

Y

Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

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.

INCC

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel

This version has a few statements commented out for thread safety
(machine parameters are computed on each entry). 10 feb 03, SJH.

Author

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