# zget08.f - Man Page

TESTING/LIN/zget08.f

## Synopsis

### Functions/Subroutines

subroutine zget08 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZGET08

## Function/Subroutine Documentation

### subroutine zget08 (character trans, integer m, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, double precision, dimension( * ) rwork, double precision resid)

ZGET08

Purpose:

``` ZGET08 computes the residual for a solution of a system of linear
equations  A*x = b  or  A'*x = b:
RESID = norm(B - A*X) / ( norm(A) * norm(X) * EPS ),
where EPS is the machine epsilon.```
Parameters

TRANS

```          TRANS is CHARACTER*1
Specifies the form of the system of equations:
= 'N':  A *x = b
= 'T':  A^T*x = b, where A^T is the transpose of A
= 'C':  A^H*x = b, where A^H is the conjugate transpose of A```

M

```          M is INTEGER
The number of rows of the matrix A.  M >= 0.```

N

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

NRHS

```          NRHS is INTEGER
The number of columns of B, the matrix of right hand sides.
NRHS >= 0.```

A

```          A is COMPLEX*16 array, dimension (LDA,N)
The original M x N matrix A.```

LDA

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

X

```          X is COMPLEX*16 array, dimension (LDX,NRHS)
The computed solution vectors for the system of linear
equations.```

LDX

```          LDX is INTEGER
The leading dimension of the array X.  If TRANS = 'N',
LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M).```

B

```          B is COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the right hand side vectors for the system of
linear equations.
On exit, B is overwritten with the difference B - A*X.```

LDB

```          LDB is INTEGER
The leading dimension of the array B.  IF TRANS = 'N',
LDB >= max(1,M); if TRANS = 'T' or 'C', LDB >= max(1,N).```

RWORK

`          RWORK is DOUBLE PRECISION array, dimension (M)`

RESID

```          RESID is DOUBLE PRECISION
The maximum over the number of right hand sides of
norm(B - A*X) / ( norm(A) * norm(X) * EPS ).```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 131 of file zget08.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zget08(3) is an alias of zget08.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK