---
name: "zspcon.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/zspcon.f"
---

# zspcon.f(3)

## NAME

SRC/zspcon.f

## SYNOPSIS

### Functions/Subroutines

subroutine **zspcon** (uplo, n, ap, ipiv, anorm, rcond, work, info)\
 **ZSPCON**

## Function/Subroutine Documentation

### subroutine zspcon (character uplo, integer n, complex\*16, dimension( \* ) ap, integer, dimension( \* ) ipiv, double precision anorm, double precision rcond, complex\*16, dimension( \* ) work, integer info)

**ZSPCON**

**Purpose:**

```
!>
!> ZSPCON estimates the reciprocal of the condition number (in the
!> 1-norm) of a complex symmetric packed matrix A using the
!> factorization A = U*D*U**T or A = L*D*L**T computed by ZSPTRF.
!>
!> An estimate is obtained for norm(inv(A)), and the reciprocal of the
!> condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
!>
```

**Parameters**

*UPLO*

```
!>          UPLO is CHARACTER*1
!>          Specifies whether the details of the factorization are stored
!>          as an upper or lower triangular matrix.
!>          = 'U':  Upper triangular, form is A = U*D*U**T;
!>          = 'L':  Lower triangular, form is A = L*D*L**T.
!>
```

*N*

```
!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>
```

*AP*

```
!>          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
!>          The block diagonal matrix D and the multipliers used to
!>          obtain the factor U or L as computed by ZSPTRF, stored as a
!>          packed triangular matrix.
!>
```

*IPIV*

```
!>          IPIV is INTEGER array, dimension (N)
!>          Details of the interchanges and the block structure of D
!>          as determined by ZSPTRF.
!>
```

*ANORM*

```
!>          ANORM is DOUBLE PRECISION
!>          The 1-norm of the original matrix A.
!>
```

*RCOND*

```
!>          RCOND is DOUBLE PRECISION
!>          The reciprocal of the condition number of the matrix A,
!>          computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
!>          estimate of the 1-norm of inv(A) computed in this routine.
!>
```

*WORK*

```
!>          WORK is COMPLEX*16 array, dimension (2*N)
!>
```

*INFO*

```
!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!>
```

**Author**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **117** of file **zspcon.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.