---
name: "zhptrs.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/zhptrs.f"
---

# zhptrs.f(3)

## NAME

SRC/zhptrs.f

## SYNOPSIS

### Functions/Subroutines

subroutine **zhptrs** (uplo, n, nrhs, ap, ipiv, b, ldb, info)\
 **ZHPTRS**

## Function/Subroutine Documentation

### subroutine zhptrs (character uplo, integer n, integer nrhs, complex\*16, dimension( \* ) ap, integer, dimension( \* ) ipiv, complex\*16, dimension( ldb, \* ) b, integer ldb, integer info)

**ZHPTRS**

**Purpose:**

```
!>
!> ZHPTRS solves a system of linear equations A*X = B with a complex
!> Hermitian matrix A stored in packed format using the factorization
!> A = U*D*U**H or A = L*D*L**H computed by ZHPTRF.
!>
```

**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**H;
!>          = 'L':  Lower triangular, form is A = L*D*L**H.
!>
```

*N*

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

*NRHS*

```
!>          NRHS is INTEGER
!>          The number of right hand sides, i.e., the number of columns
!>          of the matrix B.  NRHS >= 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 ZHPTRF, 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 ZHPTRF.
!>
```

*B*

```
!>          B is COMPLEX*16 array, dimension (LDB,NRHS)
!>          On entry, the right hand side matrix B.
!>          On exit, the solution matrix X.
!>
```

*LDB*

```
!>          LDB is INTEGER
!>          The leading dimension of the array B.  LDB >= max(1,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 **114** of file **zhptrs.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.