LAPACK  3.4.2
LAPACK: Linear Algebra PACKage
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Functions/Subroutines
complex
Level1
Collaboration diagram for complex:

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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.