---
name: "slatzm"
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/slatzm.f"
---

# slatzm(3)

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

## NAME

SRC/DEPRECATED/slatzm.f

## SYNOPSIS

### Functions/Subroutines

subroutine **slatzm** (side, m, n, v, incv, tau, c1, c2, ldc, work)\
 **SLATZM**

## Function/Subroutine Documentation

### subroutine slatzm (character side, integer m, integer n, real, dimension( \* ) v, integer incv, real tau, real, dimension( ldc, \* ) c1, real, dimension( ldc, \* ) c2, integer ldc, real, dimension( \* ) work)

**SLATZM**

**Purpose:**

```
!>
!> This routine is deprecated and has been replaced by routine SORMRZ.
!>
!> SLATZM applies a Householder matrix generated by STZRQF to a matrix.
!>
!> Let P = I - tau*u*u**T,   u = ( 1 ),
!>                               ( v )
!> where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if
!> SIDE = 'R'.
!>
!> If SIDE equals 'L', let
!>        C = [ C1 ] 1
!>            [ C2 ] m-1
!>              n
!> Then C is overwritten by P*C.
!>
!> If SIDE equals 'R', let
!>        C = [ C1, C2 ] m
!>               1  n-1
!> Then C is overwritten by C*P.
!>
```

**Parameters**

*SIDE*

```
!>          SIDE is CHARACTER*1
!>          = 'L': form P * C
!>          = 'R': form C * P
!>
```

*M*

```
!>          M is INTEGER
!>          The number of rows of the matrix C.
!>
```

*N*

```
!>          N is INTEGER
!>          The number of columns of the matrix C.
!>
```

*V*

```
!>          V is REAL array, dimension
!>                  (1 + (M-1)*abs(INCV)) if SIDE = 'L'
!>                  (1 + (N-1)*abs(INCV)) if SIDE = 'R'
!>          The vector v in the representation of P. V is not used
!>          if TAU = 0.
!>
```

*INCV*

```
!>          INCV is INTEGER
!>          The increment between elements of v. INCV <> 0
!>
```

*TAU*

```
!>          TAU is REAL
!>          The value tau in the representation of P.
!>
```

*C1*

```
!>          C1 is REAL array, dimension
!>                         (LDC,N) if SIDE = 'L'
!>                         (M,1)   if SIDE = 'R'
!>          On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1
!>          if SIDE = 'R'.
!>
!>          On exit, the first row of P*C if SIDE = 'L', or the first
!>          column of C*P if SIDE = 'R'.
!>
```

*C2*

```
!>          C2 is REAL array, dimension
!>                         (LDC, N)   if SIDE = 'L'
!>                         (LDC, N-1) if SIDE = 'R'
!>          On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the
!>          m x (n - 1) matrix C2 if SIDE = 'R'.
!>
!>          On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P
!>          if SIDE = 'R'.
!>
```

*LDC*

```
!>          LDC is INTEGER
!>          The leading dimension of the arrays C1 and C2. LDC >= (1,M).
!>
```

*WORK*

```
!>          WORK is REAL array, dimension
!>                      (N) if SIDE = 'L'
!>                      (M) if SIDE = 'R'
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **150** of file **slatzm.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.