complex_blas_level1(3)

LAPACK

complex_blas_level1(3)

NAME

complex_blas_level1 - complex

SYNOPSIS

Functions

subroutine caxpy (N, CA, CX, INCX, CY, INCY)
CAXPY subroutine ccopy (N, CX, INCX, CY, INCY)
CCOPY complex function cdotc (N, CX, INCX, CY, INCY)
CDOTC complex function cdotu (N, CX, INCX, CY, INCY)
CDOTU subroutine cscal (N, CA, CX, INCX)
CSCAL subroutine csrot (N, CX, INCX, CY, INCY, C, S)
CSROT subroutine csscal (N, SA, CX, INCX)
CSSCAL subroutine cswap (N, CX, INCX, CY, INCY)
CSWAP

Detailed Description

This is the group of complex LEVEL 1 BLAS routines.

Function Documentation

subroutine caxpy (integer N, complex CA, complex, dimension() CX, integer INCX, complex, dimension() CY, integer INCY)

CAXPY

Purpose:

CAXPY constant times a vector plus a vector.

Parameters

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

CA is COMPLEX
 On entry, CA specifies the scalar alpha.

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

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

INCY

 INCY is INTEGER
storage spacing between elements of CY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

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

Definition at line 87 of file caxpy.f.

subroutine ccopy (integer N, complex, dimension() CX, integer INCX, complex, dimension() CY, integer INCY)

CCOPY

Purpose:

CCOPY copies a vector x to a vector y.

Parameters

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

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

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

INCY

 INCY is INTEGER
storage spacing between elements of CY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

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

Definition at line 80 of file ccopy.f.

complex function cdotc (integer N, complex, dimension() CX, integer INCX, complex, dimension() CY, integer INCY)

CDOTC

Purpose:

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

Parameters

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

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

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

INCY

 INCY is INTEGER
storage spacing between elements of CY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

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

Definition at line 82 of file cdotc.f.

complex function cdotu (integer N, complex, dimension() CX, integer INCX, complex, dimension() CY, integer INCY)

CDOTU

Purpose:

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

Parameters

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

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

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

INCY

 INCY is INTEGER
storage spacing between elements of CY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

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

Definition at line 82 of file cdotu.f.

subroutine cscal (integer N, complex CA, complex, dimension(*) CX, integer INCX)

CSCAL

Purpose:

CSCAL scales a vector by a constant.

Parameters

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

CA is COMPLEX
 On entry, CA specifies the scalar alpha.

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, linpack,  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 cscal.f.

subroutine csrot (integer N, complex, dimension( * ) CX, integer INCX, complex, dimension( * ) CY, integer INCY, real C, real S)

CSROT

Purpose:

CSROT 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.

CX is COMPLEX 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 is COMPLEX 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 is REAL
 On entry, C specifies the cosine, cos.

S is REAL
 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 csrot.f.

subroutine csscal (integer N, real SA, complex, dimension(*) CX, integer INCX)

CSSCAL

Purpose:

CSSCAL scales a complex vector by a real constant.

Parameters

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

SA is REAL
 On entry, SA specifies the scalar alpha.

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

jack dongarra, linpack, 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 csscal.f.

subroutine cswap (integer N, complex, dimension() CX, integer INCX, complex, dimension() CY, integer INCY)

CSWAP

Purpose:

CSWAP interchanges two vectors.

Parameters

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

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

INCX

 INCX is INTEGER
storage spacing between elements of CX

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

INCY

 INCY is INTEGER
storage spacing between elements of CY

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Further Details:

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

Definition at line 80 of file cswap.f.

Author

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