complex16_blas_level1

NAME

complex16_blas_level1 - complex16

SYNOPSIS

Functions

subroutine zaxpy (N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
subroutine zcopy (N, ZX, INCX, ZY, INCY)
ZCOPY
complex *16 function zdotc (N, ZX, INCX, ZY, INCY)
ZDOTC
complex *16 function zdotu (N, ZX, INCX, ZY, INCY)
ZDOTU
subroutine zdrot (N, ZX, INCX, ZY, INCY, C, S)
ZDROT
subroutine zdscal (N, DA, ZX, INCX)
ZDSCAL
subroutine zscal (N, ZA, ZX, INCX)
ZSCAL
subroutine zswap (N, ZX, INCX, ZY, INCY)
ZSWAP

Detailed Description

This is the group of complex16 LEVEL 1 BLAS routines.

Function Documentation

subroutine zaxpy (integer N, complex*16 ZA, complex*16, dimension(*) ZX,integer INCX, complex*16, dimension(*) ZY, integer INCY)

ZAXPY

Purpose:

ZAXPY constant times a vector plus a vector.

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZA

ZA is COMPLEX*16
On entry, ZA specifies the scalar alpha.

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

ZY

ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of ZY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine zcopy (integer N, complex*16, dimension(*) ZX, integer INCX,complex*16, dimension(*) ZY, integer INCY)

ZCOPY

Purpose:

ZCOPY copies a vector, x, to a vector, y.

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

ZY

ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of ZY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, linpack, 4/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

complex*16 function zdotc (integer N, complex*16, dimension(*) ZX, integerINCX, complex*16, dimension(*) ZY, integer INCY)

ZDOTC

Purpose:

ZDOTC forms the dot product of two complex vectors
ZDOTC = XˆH * Y

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

ZY

ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of ZY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

complex*16 function zdotu (integer N, complex*16, dimension(*) ZX, integerINCX, complex*16, dimension(*) ZY, integer INCY)

ZDOTU

Purpose:

ZDOTU forms the dot product of two complex vectors
ZDOTU = XˆT * Y

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

ZY

ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of ZY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine zdrot (integer N, complex*16, dimension( * ) ZX, integer INCX,complex*16, dimension( * ) ZY, integer INCY, double precision C, doubleprecision S)

ZDROT

Purpose:

Applies a plane rotation, where the cos and sin (c and s) are real
and the vectors cx and cy are complex.
jack dongarra, linpack, 3/11/78.

Parameters

N

N is INTEGER
On entry, N specifies the order of the vectors cx and cy.
N must be at least zero.

ZX

ZX is COMPLEX*16 array, dimension at least
( 1 + ( N - 1 )*abs( INCX ) ).
Before entry, the incremented array ZX must contain the n
element vector cx. On exit, ZX is overwritten by the updated
vector cx.

INCX

INCX is INTEGER
On entry, INCX specifies the increment for the elements of
ZX. INCX must not be zero.

ZY

ZY is COMPLEX*16 array, dimension at least
( 1 + ( N - 1 )*abs( INCY ) ).
Before entry, the incremented array ZY must contain the n
element vector cy. On exit, ZY is overwritten by the updated
vector cy.

INCY

INCY is INTEGER
On entry, INCY specifies the increment for the elements of
ZY. INCY must not be zero.

C

C is DOUBLE PRECISION
On entry, C specifies the cosine, cos.

S

S is DOUBLE PRECISION
On entry, S specifies the sine, sin.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zdscal (integer N, double precision DA, complex*16, dimension(*)ZX, integer INCX)

ZDSCAL

Purpose:

ZDSCAL scales a vector by a constant.

Parameters

N

N is INTEGER
number of elements in input vector(s)

DA

DA is DOUBLE PRECISION
On entry, DA specifies the scalar alpha.

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 3/93 to return if incx .le. 0.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine zscal (integer N, complex*16 ZA, complex*16, dimension(*) ZX,integer INCX)

ZSCAL

Purpose:

ZSCAL scales a vector by a constant.

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZA

ZA is COMPLEX*16
On entry, ZA specifies the scalar alpha.

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 3/93 to return if incx .le. 0.
modified 12/3/93, array(1) declarations changed to array(*)

subroutine zswap (integer N, complex*16, dimension(*) ZX, integer INCX,complex*16, dimension(*) ZY, integer INCY)

ZSWAP

Purpose:

ZSWAP interchanges two vectors.

Parameters

N

N is INTEGER
number of elements in input vector(s)

ZX

ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) )

INCX

INCX is INTEGER
storage spacing between elements of ZX

ZY

ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) )

INCY

INCY is INTEGER
storage spacing between elements of ZY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)

Author

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