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man pages->IRIX man pages -> complib/zgetrs (3)
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### Contents

```
ZGETRS(3F)							    ZGETRS(3F)

```

### NAME[Toc][Back]

```     ZGETRS - solve a system of	linear equations  A * X	= B, A**T * X =	B, or
A**H * X =	B with a general N-by-N	matrix A using the LU factorization
computed by ZGETRF
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZGETRS(	TRANS, N, NRHS,	A, LDA,	IPIV, B, LDB, INFO )

CHARACTER	TRANS

INTEGER	INFO, LDA, LDB,	N, NRHS

INTEGER	IPIV( *	)

COMPLEX*16	A( LDA,	* ), B(	LDB, * )
```

### PURPOSE[Toc][Back]

```     ZGETRS solves a system of linear equations
A * X =	B,  A**T * X = B,  or  A**H * X	= B with a general N-by-N
matrix A using the	LU factorization computed by ZGETRF.

```

### ARGUMENTS[Toc][Back]

```     TRANS   (input) CHARACTER*1
Specifies the form	of the system of equations:
= 'N':  A * X = B	   (No transpose)
= 'T':  A**T * X =	B  (Transpose)
= 'C':  A**H * X =	B  (Conjugate transpose)

N	     (input) INTEGER
The order of the matrix A.	 N >= 0.

NRHS    (input) INTEGER
The number	of right hand sides, i.e., the number of columns of
the matrix	B.  NRHS >= 0.

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The factors L and U from the factorization	A = P*L*U as computed
by	ZGETRF.

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

IPIV    (input) INTEGER array, dimension (N)
The pivot indices from ZGETRF; for	1<=i<=N, row i of the matrix
was interchanged with row IPIV(i).

B	     (input/output) COMPLEX*16 array, dimension	(LDB,NRHS)
On	entry, the right hand side matrix B.  On exit, the solution
matrix X.

Page 1

ZGETRS(3F)							    ZGETRS(3F)

LDB     (input) INTEGER
The leading dimension of the array	B.  LDB	>= max(1,N).

INFO    (output) INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value
ZGETRS(3F)							    ZGETRS(3F)

```

### NAME[Toc][Back]

```     ZGETRS - solve a system of	linear equations  A * X	= B, A**T * X =	B, or
A**H * X =	B with a general N-by-N	matrix A using the LU factorization
computed by ZGETRF
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZGETRS(	TRANS, N, NRHS,	A, LDA,	IPIV, B, LDB, INFO )

CHARACTER	TRANS

INTEGER	INFO, LDA, LDB,	N, NRHS

INTEGER	IPIV( *	)

COMPLEX*16	A( LDA,	* ), B(	LDB, * )
```

### PURPOSE[Toc][Back]

```     ZGETRS solves a system of linear equations
A * X =	B,  A**T * X = B,  or  A**H * X	= B with a general N-by-N
matrix A using the	LU factorization computed by ZGETRF.

```

### ARGUMENTS[Toc][Back]

```     TRANS   (input) CHARACTER*1
Specifies the form	of the system of equations:
= 'N':  A * X = B	   (No transpose)
= 'T':  A**T * X =	B  (Transpose)
= 'C':  A**H * X =	B  (Conjugate transpose)

N	     (input) INTEGER
The order of the matrix A.	 N >= 0.

NRHS    (input) INTEGER
The number	of right hand sides, i.e., the number of columns of
the matrix	B.  NRHS >= 0.

A	     (input) COMPLEX*16	array, dimension (LDA,N)
The factors L and U from the factorization	A = P*L*U as computed
by	ZGETRF.

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

IPIV    (input) INTEGER array, dimension (N)
The pivot indices from ZGETRF; for	1<=i<=N, row i of the matrix
was interchanged with row IPIV(i).

B	     (input/output) COMPLEX*16 array, dimension	(LDB,NRHS)
On	entry, the right hand side matrix B.  On exit, the solution
matrix X.

Page 1

ZGETRS(3F)							    ZGETRS(3F)

LDB     (input) INTEGER
The leading dimension of the array	B.  LDB	>= max(1,N).

INFO    (output) INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

PPPPaaaaggggeeee 2222```
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