---
name: "chet01_rook.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/chet01_rook.f"
---

# chet01\_rook.f(3)

## NAME

TESTING/LIN/chet01\_rook.f

## SYNOPSIS

### Functions/Subroutines

subroutine **chet01\_rook** (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)\
 **CHET01\_ROOK**

## Function/Subroutine Documentation

### subroutine chet01\_rook (character uplo, integer n, complex, dimension( lda, \* ) a, integer lda, complex, dimension( ldafac, \* ) afac, integer ldafac, integer, dimension( \* ) ipiv, complex, dimension( ldc, \* ) c, integer ldc, real, dimension( \* ) rwork, real resid)

**CHET01\_ROOK**

**Purpose:**

```
!>
!> CHET01_ROOK reconstructs a complex Hermitian indefinite matrix A from its
!> block L*D*L' or U*D*U' factorization and computes the residual
!>    norm( C - A ) / ( N * norm(A) * EPS ),
!> where C is the reconstructed matrix, EPS is the machine epsilon,
!> L' is the transpose of L, and U' is the transpose of U.
!>
```

**Parameters**

*UPLO*

```
!>          UPLO is CHARACTER*1
!>          Specifies whether the upper or lower triangular part of the
!>          complex Hermitian matrix A is stored:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>
```

*N*

```
!>          N is INTEGER
!>          The number of rows and columns of the matrix A.  N >= 0.
!>
```

*A*

```
!>          A is COMPLEX array, dimension (LDA,N)
!>          The original complex Hermitian matrix A.
!>
```

*LDA*

```
!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N)
!>
```

*AFAC*

```
!>          AFAC is COMPLEX array, dimension (LDAFAC,N)
!>          The factored form of the matrix A.  AFAC contains the block
!>          diagonal matrix D and the multipliers used to obtain the
!>          factor L or U from the block L*D*L' or U*D*U' factorization
!>          as computed by CSYTRF_ROOK.
!>
```

*LDAFAC*

```
!>          LDAFAC is INTEGER
!>          The leading dimension of the array AFAC.  LDAFAC >= max(1,N).
!>
```

*IPIV*

```
!>          IPIV is INTEGER array, dimension (N)
!>          The pivot indices from CSYTRF_ROOK.
!>
```

*C*

```
!>          C is COMPLEX array, dimension (LDC,N)
!>
```

*LDC*

```
!>          LDC is INTEGER
!>          The leading dimension of the array C.  LDC >= max(1,N).
!>
```

*RWORK*

```
!>          RWORK is REAL array, dimension (N)
!>
```

*RESID*

```
!>          RESID is REAL
!>          If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS )
!>          If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS )
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **123** of file **chet01\_rook.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.