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man pages->IRIX man pages -> complib/zpttrs (3)
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Contents

```
ZPTTRS(3F)							    ZPTTRS(3F)

```

NAME[Toc][Back]

```     ZPTTRS - solve a system of	linear equations A * X = B with	a Hermitian
positive definite tridiagonal matrix A using the factorization A =
U**H*D*U or A = L*D*L**H computed by ZPTTRF
```

SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZPTTRS(	UPLO, N, NRHS, D, E, B,	LDB, INFO )

CHARACTER	UPLO

INTEGER	INFO, LDB, N, NRHS

DOUBLE		PRECISION D( * )

COMPLEX*16	B( LDB,	* ), E(	* )
```

PURPOSE[Toc][Back]

```     ZPTTRS solves a system of linear equations	A * X =	B with a Hermitian
positive definite tridiagonal matrix A using the factorization A =
U**H*D*U or A = L*D*L**H computed by ZPTTRF.

```

ARGUMENTS[Toc][Back]

```     UPLO    (input) CHARACTER*1
Specifies whether the superdiagonal or the	subdiagonal of the
tridiagonal matrix	A is stored and	the form of the	factorization:
= 'U':  E is the superdiagonal of U, and A	= U'*D*U;
= 'L':  E is the subdiagonal of L,	and A =	L*D*L'.	 (The two
forms are equivalent if A is real.)

N	     (input) INTEGER
The order of the tridiagonal 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.

D	     (input) DOUBLE PRECISION array, dimension (N)
The n diagonal elements of	the diagonal matrix D from the
factorization computed by ZPTTRF.

E	     (input) COMPLEX*16	array, dimension (N-1)
The (n-1) off-diagonal elements of	the unit bidiagonal factor U
or	L from the factorization computed by ZPTTRF (see UPLO).

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

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

Page 1

ZPTTRS(3F)							    ZPTTRS(3F)

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

```

NAME[Toc][Back]

```     ZPTTRS - solve a system of	linear equations A * X = B with	a Hermitian
positive definite tridiagonal matrix A using the factorization A =
U**H*D*U or A = L*D*L**H computed by ZPTTRF
```

SYNOPSIS[Toc][Back]

```     SUBROUTINE	ZPTTRS(	UPLO, N, NRHS, D, E, B,	LDB, INFO )

CHARACTER	UPLO

INTEGER	INFO, LDB, N, NRHS

DOUBLE		PRECISION D( * )

COMPLEX*16	B( LDB,	* ), E(	* )
```

PURPOSE[Toc][Back]

```     ZPTTRS solves a system of linear equations	A * X =	B with a Hermitian
positive definite tridiagonal matrix A using the factorization A =
U**H*D*U or A = L*D*L**H computed by ZPTTRF.

```

ARGUMENTS[Toc][Back]

```     UPLO    (input) CHARACTER*1
Specifies whether the superdiagonal or the	subdiagonal of the
tridiagonal matrix	A is stored and	the form of the	factorization:
= 'U':  E is the superdiagonal of U, and A	= U'*D*U;
= 'L':  E is the subdiagonal of L,	and A =	L*D*L'.	 (The two
forms are equivalent if A is real.)

N	     (input) INTEGER
The order of the tridiagonal 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.

D	     (input) DOUBLE PRECISION array, dimension (N)
The n diagonal elements of	the diagonal matrix D from the
factorization computed by ZPTTRF.

E	     (input) COMPLEX*16	array, dimension (N-1)
The (n-1) off-diagonal elements of	the unit bidiagonal factor U
or	L from the factorization computed by ZPTTRF (see UPLO).

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

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

Page 1

ZPTTRS(3F)							    ZPTTRS(3F)

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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