.TH "complex_blas_level1" 3 "Sun Nov 27 2022" "Version 3.11.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
complex_blas_level1 \- complex
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBcaxpy\fP (N, CA, CX, INCX, CY, INCY)"
.br
.RI "\fBCAXPY\fP "
.ti -1c
.RI "subroutine \fBccopy\fP (N, CX, INCX, CY, INCY)"
.br
.RI "\fBCCOPY\fP "
.ti -1c
.RI "complex function \fBcdotc\fP (N, CX, INCX, CY, INCY)"
.br
.RI "\fBCDOTC\fP "
.ti -1c
.RI "complex function \fBcdotu\fP (N, CX, INCX, CY, INCY)"
.br
.RI "\fBCDOTU\fP "
.ti -1c
.RI "subroutine \fBcscal\fP (N, CA, CX, INCX)"
.br
.RI "\fBCSCAL\fP "
.ti -1c
.RI "subroutine \fBcsrot\fP (N, CX, INCX, CY, INCY, C, S)"
.br
.RI "\fBCSROT\fP "
.ti -1c
.RI "subroutine \fBcsscal\fP (N, SA, CX, INCX)"
.br
.RI "\fBCSSCAL\fP "
.ti -1c
.RI "subroutine \fBcswap\fP (N, CX, INCX, CY, INCY)"
.br
.RI "\fBCSWAP\fP "
.in -1c
.SH "Detailed Description"
.PP 
This is the group of complex LEVEL 1 BLAS routines\&. 
.SH "Function Documentation"
.PP 
.SS "subroutine caxpy (integer N, complex CA, complex, dimension(*) CX, integer INCX, complex, dimension(*) CY, integer INCY)"

.PP
\fBCAXPY\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    CAXPY constant times a vector plus a vector\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICA\fP 
.PP
.nf
          CA is COMPLEX
           On entry, CA specifies the scalar alpha\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
         storage spacing between elements of CY
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     jack dongarra, linpack, 3/11/78\&.
     modified 12/3/93, array(1) declarations changed to array(*)
.fi
.PP
 
.RE
.PP

.SS "subroutine ccopy (integer N, complex, dimension(*) CX, integer INCX, complex, dimension(*) CY, integer INCY)"

.PP
\fBCCOPY\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    CCOPY copies a vector x to a vector y\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
         storage spacing between elements of CY
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     jack dongarra, linpack, 3/11/78\&.
     modified 12/3/93, array(1) declarations changed to array(*)
.fi
.PP
 
.RE
.PP

.SS "complex function cdotc (integer N, complex, dimension(*) CX, integer INCX, complex, dimension(*) CY, integer INCY)"

.PP
\fBCDOTC\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CDOTC forms the dot product of two complex vectors
      CDOTC = X^H * Y
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
         storage spacing between elements of CY
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     jack dongarra, linpack,  3/11/78\&.
     modified 12/3/93, array(1) declarations changed to array(*)
.fi
.PP
 
.RE
.PP

.SS "complex function cdotu (integer N, complex, dimension(*) CX, integer INCX, complex, dimension(*) CY, integer INCY)"

.PP
\fBCDOTU\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CDOTU forms the dot product of two complex vectors
      CDOTU = X^T * Y
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
         storage spacing between elements of CY
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     jack dongarra, linpack, 3/11/78\&.
     modified 12/3/93, array(1) declarations changed to array(*)
.fi
.PP
 
.RE
.PP

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

.PP
\fBCSCAL\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    CSCAL scales a vector by a constant\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICA\fP 
.PP
.nf
          CA is COMPLEX
           On entry, CA specifies the scalar alpha\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     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(*)
.fi
.PP
 
.RE
.PP

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

.PP
\fBCSROT\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
           On entry, N specifies the order of the vectors cx and cy\&.
           N must be at least zero\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
           On entry, INCX specifies the increment for the elements of
           CX\&. INCX must not be zero\&.
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
           On entry, INCY specifies the increment for the elements of
           CY\&. INCY must not be zero\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is REAL
           On entry, C specifies the cosine, cos\&.
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is REAL
           On entry, S specifies the sine, sin\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

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

.PP
\fBCSSCAL\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    CSSCAL scales a complex vector by a real constant\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fISA\fP 
.PP
.nf
          SA is REAL
           On entry, SA specifies the scalar alpha\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     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(*)
.fi
.PP
 
.RE
.PP

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

.PP
\fBCSWAP\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
   CSWAP interchanges two vectors\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
         number of elements in input vector(s)
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
         storage spacing between elements of CX
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) )
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
         storage spacing between elements of CY
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
     jack dongarra, linpack, 3/11/78\&.
     modified 12/3/93, array(1) declarations changed to array(*)
.fi
.PP
 
.RE
.PP

.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.