---
name: "clartv"
section: "3"
platform: "linux"
package: "lapack-doc"
version: "3.12.1-2"
release: "Arch Linux 2026-11-01"
platforms: ["linux"]
url: "https://new.carta.tech/clartv.f"
---

# clartv(3)

Part of [clartv.f(3)](/clartv.f/3.md).

## NAME

SRC/clartv.f

## SYNOPSIS

### Functions/Subroutines

subroutine **clartv** (n, x, incx, y, incy, c, s, incc)\
 **CLARTV** applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

## Function/Subroutine Documentation

### subroutine clartv (integer n, complex, dimension( \* ) x, integer incx, complex, dimension( \* ) y, integer incy, real, dimension( \* ) c, complex, dimension( \* ) s, integer incc)

**CLARTV** applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

**Purpose:**

```
!>
!> CLARTV applies a vector of complex plane rotations with real cosines
!> to elements of the complex vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
!>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
!>
```

**Parameters**

*N*

```
!>          N is INTEGER
!>          The number of plane rotations to be applied.
!>
```

*X*

```
!>          X is COMPLEX array, dimension (1+(N-1)*INCX)
!>          The vector x.
!>
```

*INCX*

```
!>          INCX is INTEGER
!>          The increment between elements of X. INCX > 0.
!>
```

*Y*

```
!>          Y is COMPLEX array, dimension (1+(N-1)*INCY)
!>          The vector y.
!>
```

*INCY*

```
!>          INCY is INTEGER
!>          The increment between elements of Y. INCY > 0.
!>
```

*C*

```
!>          C is REAL array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!>
```

*S*

```
!>          S is COMPLEX array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!>
```

*INCC*

```
!>          INCC is INTEGER
!>          The increment between elements of C and S. INCC > 0.
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **106** of file **clartv.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.