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complex16_blas_level1(3) LAPACK complex16_blas_level1(3)

NAME

complex16_blas_level1

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, CX, INCX, CY, INCY, C, S)
ZDROT subroutine zdscal (N, DA, ZX, INCX)
ZDSCAL subroutine zrotg (CA, CB, C, S)
ZROTG 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.

Date:

November 2017

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.

Date:

November 2017

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, integer INCX, complex*16, dimension(*) ZY, integer INCY)

ZDOTC

Purpose:

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

Parameters:

N

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

ZX

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

ZY

          ZY is REAL 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.

Date:

November 2017

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, integer INCX, complex*16, dimension(*) ZY, integer INCY)

ZDOTU

Purpose:

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

Parameters:

N

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

ZX

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

INCX

          INCX is INTEGER
         storage spacing between elements of ZX

ZY

          ZY is REAL 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.

Date:

November 2017

Further Details:

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

subroutine zdrot (integer N, complex*16, dimension( * ) CX, integer INCX, complex*16, dimension( * ) CY, 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

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

CX

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

INCX

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

CY

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

INCY

          INCY is INTEGER
           On entry, INCY specifies the increment for the elements of
           CY. 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.

Date:

December 2016

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.

Date:

November 2017

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 zrotg (complex*16 CA, complex*16 CB, double precision C, complex*16 S)

ZROTG

Purpose:

    ZROTG determines a double complex Givens rotation.

Parameters:

CA

          CA is COMPLEX*16

CB

          CB is COMPLEX*16

C

          C is DOUBLE PRECISION

S

          S is COMPLEX*16

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2017

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.

Date:

November 2017

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.

Date:

November 2017

Further Details:

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

Author

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