---
name: "crzt01.f"
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/crzt01.f"
---

# crzt01.f(3)

## NAME

TESTING/LIN/crzt01.f

## SYNOPSIS

### Functions/Subroutines

real function **crzt01** (m, n, a, af, lda, tau, work, lwork)\
 **CRZT01**

## Function/Subroutine Documentation

### real function crzt01 (integer m, integer n, complex, dimension( lda, \* ) a, complex, dimension( lda, \* ) af, integer lda, complex, dimension( \* ) tau, complex, dimension( lwork ) work, integer lwork)

**CRZT01**

**Purpose:**

```
!>
!> CRZT01 returns
!>      || A - R*Q || / ( M * eps * ||A|| )
!> for an upper trapezoidal A that was factored with CTZRZF.
!>
```

**Parameters**

*M*

```
!>          M is INTEGER
!>          The number of rows of the matrices A and AF.
!>
```

*N*

```
!>          N is INTEGER
!>          The number of columns of the matrices A and AF.
!>
```

*A*

```
!>          A is COMPLEX array, dimension (LDA,N)
!>          The original upper trapezoidal M by N matrix A.
!>
```

*AF*

```
!>          AF is COMPLEX array, dimension (LDA,N)
!>          The output of CTZRZF for input matrix A.
!>          The lower triangle is not referenced.
!>
```

*LDA*

```
!>          LDA is INTEGER
!>          The leading dimension of the arrays A and AF.
!>
```

*TAU*

```
!>          TAU is COMPLEX array, dimension (M)
!>          Details of the  Householder transformations as returned by
!>          CTZRZF.
!>
```

*WORK*

```
!>          WORK is COMPLEX array, dimension (LWORK)
!>
```

*LWORK*

```
!>          LWORK is INTEGER
!>          The length of the array WORK.  LWORK >= m*n + m.
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **96** of file **crzt01.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.