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, complex16 ZA, complex16, dimension() ZX, integer INCX, complex16, dimension(*) ZY, integer INCY)

ZAXPY

Purpose:

    ZAXPY constant times a vector plus a vector.

Parameters

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

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

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

          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(*)

Definition at line 87 of file zaxpy.f.

subroutine zcopy (integer N, complex16, dimension() ZX, integer INCX, complex16, dimension() ZY, integer INCY)

ZCOPY

Purpose:

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

Parameters

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

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

          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(*)

Definition at line 80 of file zcopy.f.

complex16 function zdotc (integer N, complex16, dimension() ZX, integer INCX, complex16, dimension(*) ZY, integer INCY)

ZDOTC

Purpose:

 ZDOTC forms the dot product of two complex vectors
      ZDOTC = X^H * Y

Parameters

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

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

          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(*)

Definition at line 82 of file zdotc.f.

complex16 function zdotu (integer N, complex16, dimension() ZX, integer INCX, complex16, dimension(*) ZY, integer INCY)

ZDOTU

Purpose:

 ZDOTU forms the dot product of two complex vectors
      ZDOTU = X^T * Y

Parameters

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

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

          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(*)

Definition at line 82 of file zdotu.f.

subroutine zdrot (integer N, complex16, dimension( ) ZX, integer INCX, complex16, dimension( ) ZY, integer INCY, double precision C, double precision 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 is INTEGER
           On entry, N specifies the order of the vectors cx and cy.
           N must be at least zero.

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

          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.

Definition at line 97 of file zdrot.f.

subroutine zdscal (integer N, double precision DA, complex16, dimension() ZX, integer INCX)

ZDSCAL

Purpose:

    ZDSCAL scales a vector by a constant.

Parameters

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

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

          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(*)

Definition at line 77 of file zdscal.f.

subroutine zscal (integer N, complex16 ZA, complex16, dimension(*) ZX, integer INCX)

ZSCAL

Purpose:

    ZSCAL scales a vector by a constant.

Parameters

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

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

          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(*)

Definition at line 77 of file zscal.f.

subroutine zswap (integer N, complex16, dimension() ZX, integer INCX, complex16, dimension() ZY, integer INCY)

ZSWAP

Purpose:

    ZSWAP interchanges two vectors.

Parameters

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

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

          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(*)

Definition at line 80 of file zswap.f.

Author

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