---
name: "cspt03.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/cspt03.f"
---

# cspt03.f(3)

## NAME

TESTING/LIN/cspt03.f

## SYNOPSIS

### Functions/Subroutines

subroutine **cspt03** (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)\
 **CSPT03**

## Function/Subroutine Documentation

### subroutine cspt03 (character uplo, integer n, complex, dimension( \* ) a, complex, dimension( \* ) ainv, complex, dimension( ldw, \* ) work, integer ldw, real, dimension( \* ) rwork, real rcond, real resid)

**CSPT03**

**Purpose:**

```
!>
!> CSPT03 computes the residual for a complex symmetric packed matrix
!> times its inverse:
!>    norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
!> where EPS is the machine epsilon.
!>
```

**Parameters**

*UPLO*

```
!>          UPLO is CHARACTER*1
!>          Specifies whether the upper or lower triangular part of the
!>          complex symmetric 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 (N*(N+1)/2)
!>          The original complex symmetric matrix A, stored as a packed
!>          triangular matrix.
!>
```

*AINV*

```
!>          AINV is COMPLEX array, dimension (N*(N+1)/2)
!>          The (symmetric) inverse of the matrix A, stored as a packed
!>          triangular matrix.
!>
```

*WORK*

```
!>          WORK is COMPLEX array, dimension (LDW,N)
!>
```

*LDW*

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

*RWORK*

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

*RCOND*

```
!>          RCOND is REAL
!>          The reciprocal of the condition number of A, computed as
!>          ( 1/norm(A) ) / norm(AINV).
!>
```

*RESID*

```
!>          RESID is REAL
!>          norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **108** of file **cspt03.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.