Provided by: liblapack-doc_3.7.1-4ubuntu1_all bug

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:
           December 2016

       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:
           December 2016

       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:
           December 2016

       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:
           December 2016

       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:
           December 2016

       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:
           December 2016

   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:
           December 2016

       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:
           December 2016

       Further Details:

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

Author

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