.TH "lacrt" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
lacrt \- lacrt: apply plane rotation (unused?)
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBclacrt\fP (n, cx, incx, cy, incy, c, s)"
.br
.RI "\fBCLACRT\fP performs a linear transformation of a pair of complex vectors\&. "
.ti -1c
.RI "subroutine \fBzlacrt\fP (n, cx, incx, cy, incy, c, s)"
.br
.RI "\fBZLACRT\fP performs a linear transformation of a pair of complex vectors\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "subroutine clacrt (integer n, complex, dimension( * ) cx, integer incx, complex, dimension( * ) cy, integer incy, complex c, complex s)"

.PP
\fBCLACRT\fP performs a linear transformation of a pair of complex vectors\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLACRT performs the operation

    (  c  s )( x )  ==> ( x )
    ( -s  c )( y )      ( y )

 where c and s are complex and the vectors x and y are complex\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of elements in the vectors CX and CY\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX array, dimension (N)
          On input, the vector x\&.
          On output, CX is overwritten with c*x + s*y\&.
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
          The increment between successive values of CX\&.  INCX <> 0\&.
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX array, dimension (N)
          On input, the vector y\&.
          On output, CY is overwritten with -s*x + c*y\&.
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
          The increment between successive values of CY\&.  INCY <> 0\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is COMPLEX
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is COMPLEX
          C and S define the matrix
             [  C   S  ]\&.
             [ -S   C  ]
.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 zlacrt (integer n, complex*16, dimension( * ) cx, integer incx, complex*16, dimension( * ) cy, integer incy, complex*16 c, complex*16 s)"

.PP
\fBZLACRT\fP performs a linear transformation of a pair of complex vectors\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 ZLACRT performs the operation

    (  c  s )( x )  ==> ( x )
    ( -s  c )( y )      ( y )

 where c and s are complex and the vectors x and y are complex\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of elements in the vectors CX and CY\&.
.fi
.PP
.br
\fICX\fP 
.PP
.nf
          CX is COMPLEX*16 array, dimension (N)
          On input, the vector x\&.
          On output, CX is overwritten with c*x + s*y\&.
.fi
.PP
.br
\fIINCX\fP 
.PP
.nf
          INCX is INTEGER
          The increment between successive values of CX\&.  INCX <> 0\&.
.fi
.PP
.br
\fICY\fP 
.PP
.nf
          CY is COMPLEX*16 array, dimension (N)
          On input, the vector y\&.
          On output, CY is overwritten with -s*x + c*y\&.
.fi
.PP
.br
\fIINCY\fP 
.PP
.nf
          INCY is INTEGER
          The increment between successive values of CY\&.  INCY <> 0\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is COMPLEX*16
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is COMPLEX*16
          C and S define the matrix
             [  C   S  ]\&.
             [ -S   C  ]
.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

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