LAPACK  3.4.2 LAPACK: Linear Algebra PACKage
complex
Collaboration diagram for complex:


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## Functions/Subroutines

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 crotg (CA, CB, C, S)
CROTG
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/Subroutine 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.`
Date:
November 2011
Further Details:
```     jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)```

Definition at line 52 of file caxpy.f.

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 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.`
Date:
November 2011
Further Details:
```     jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)```

Definition at line 51 of file ccopy.f.

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

CDOTC

Purpose:
```    forms the dot product of two vectors, conjugating the first
vector.```
Date:
November 2011
Further Details:
```     jack dongarra, linpack,  3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)```

Definition at line 52 of file cdotc.f.

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

CDOTU

Purpose:
`    CDOTU forms the dot product of two vectors.`
Date:
November 2011
Further Details:
```     jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)```

Definition at line 51 of file cdotu.f.

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 subroutine crotg ( complex CA, complex CB, real C, complex S )

CROTG

Purpose:
` CROTG determines a complex Givens rotation.`
Date:
November 2011

Definition at line 40 of file crotg.f.

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

CSCAL

Purpose:
`    CSCAL scales a vector by a constant.`
Date:
November 2011
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 53 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:
 [in] N ``` N is INTEGER On entry, N specifies the order of the vectors cx and cy. N must be at least zero.``` [in,out] CX ``` 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.``` [in] INCX ``` INCX is INTEGER On entry, INCX specifies the increment for the elements of CX. INCX must not be zero.``` [in,out] CY ``` 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.``` [in] INCY ``` INCY is INTEGER On entry, INCY specifies the increment for the elements of CY. INCY must not be zero.``` [in] C ``` C is REAL On entry, C specifies the cosine, cos.``` [in] S ``` S is REAL On entry, S specifies the sine, sin.```
Date:
November 2011

Definition at line 99 of file csrot.f.

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

CSSCAL

Purpose:
`    CSSCAL scales a complex vector by a real constant.`
Date:
November 2011
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 53 of file csscal.f.

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

CSWAP

Purpose:
`   CSWAP interchanges two vectors.`
Date:
November 2011
Further Details:
```     jack dongarra, linpack, 3/11/78.
modified 12/3/93, array(1) declarations changed to array(*)```

Definition at line 51 of file cswap.f.