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man pages->IRIX man pages -> complib/slasy2 (3)
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### Contents

```
SLASY2(3F)							    SLASY2(3F)

```

### NAME[Toc][Back]

```     SLASY2 - solve for	the N1 by N2 matrix X, 1 <= N1,N2 <= 2,	in   op(TL)*X
+ ISGN*X*op(TR) = SCALE*B,
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	SLASY2(	LTRANL,	LTRANR,	ISGN, N1, N2, TL, LDTL,	TR, LDTR, B,
LDB, SCALE, X, LDX, XNORM, INFO	)

LOGICAL	LTRANL,	LTRANR

INTEGER	INFO, ISGN, LDB, LDTL, LDTR, LDX, N1, N2

REAL		SCALE, XNORM

REAL		B( LDB,	* ), TL( LDTL, * ), TR(	LDTR, *	), X( LDX, * )
```

### PURPOSE[Toc][Back]

```     SLASY2 solves for the N1 by N2 matrix X, 1	<= N1,N2 <= 2, in

where TL is N1 by N1, TR is N2 by N2, B is	N1 by N2, and ISGN = 1 or -1.
op(T) = T or T', where T' denotes the transpose of	T.

```

### ARGUMENTS[Toc][Back]

```     LTRANL  (input) LOGICAL
On	entry, LTRANL specifies	the op(TL):  = .FALSE.,	op(TL) = TL, =
.TRUE., op(TL) = TL'.

LTRANR  (input) LOGICAL
On	entry, LTRANR specifies	the op(TR):  = .FALSE.,	op(TR) = TR, =
.TRUE., op(TR) = TR'.

ISGN    (input) INTEGER
On	entry, ISGN specifies the sign of the equation as described
before. ISGN may only be 1	or -1.

N1	     (input) INTEGER
On	entry, N1 specifies the	order of matrix	TL.  N1	may only be 0,
1 or 2.

N2	     (input) INTEGER
On	entry, N2 specifies the	order of matrix	TR.  N2	may only be 0,
1 or 2.

TL	     (input) REAL array, dimension (LDTL,2)
On	entry, TL contains an N1 by N1 matrix.

LDTL    (input) INTEGER
The leading dimension of the matrix TL. LDTL >= max(1,N1).

Page 1

SLASY2(3F)							    SLASY2(3F)

TR	     (input) REAL array, dimension (LDTR,2)
On	entry, TR contains an N2 by N2 matrix.

LDTR    (input) INTEGER
The leading dimension of the matrix TR. LDTR >= max(1,N2).

B	     (input) REAL array, dimension (LDB,2)
On	entry, the N1 by N2 matrix B contains the right-hand side of
the equation.

LDB     (input) INTEGER
The leading dimension of the matrix B. LDB	>= max(1,N1).

SCALE   (output) REAL
On	exit, SCALE contains the scale factor. SCALE is	chosen less
than or equal to 1	to prevent the solution	overflowing.

X	     (output) REAL array, dimension (LDX,2)
On	exit, X	contains the N1	by N2 solution.

LDX     (input) INTEGER
The leading dimension of the matrix X. LDX	>= max(1,N1).

XNORM   (output) REAL
On	exit, XNORM is the infinity-norm of the	solution.

INFO    (output) INTEGER
On	exit, INFO is set to 0:	successful exit.
1:	TL and TR have too close eigenvalues, so TL or TR is perturbed
to	get a nonsingular equation.  NOTE: In the interests of speed,
this routine does not check the inputs for	errors.
SLASY2(3F)							    SLASY2(3F)

```

### NAME[Toc][Back]

```     SLASY2 - solve for	the N1 by N2 matrix X, 1 <= N1,N2 <= 2,	in   op(TL)*X
+ ISGN*X*op(TR) = SCALE*B,
```

### SYNOPSIS[Toc][Back]

```     SUBROUTINE	SLASY2(	LTRANL,	LTRANR,	ISGN, N1, N2, TL, LDTL,	TR, LDTR, B,
LDB, SCALE, X, LDX, XNORM, INFO	)

LOGICAL	LTRANL,	LTRANR

INTEGER	INFO, ISGN, LDB, LDTL, LDTR, LDX, N1, N2

REAL		SCALE, XNORM

REAL		B( LDB,	* ), TL( LDTL, * ), TR(	LDTR, *	), X( LDX, * )
```

### PURPOSE[Toc][Back]

```     SLASY2 solves for the N1 by N2 matrix X, 1	<= N1,N2 <= 2, in

where TL is N1 by N1, TR is N2 by N2, B is	N1 by N2, and ISGN = 1 or -1.
op(T) = T or T', where T' denotes the transpose of	T.

```

### ARGUMENTS[Toc][Back]

```     LTRANL  (input) LOGICAL
On	entry, LTRANL specifies	the op(TL):  = .FALSE.,	op(TL) = TL, =
.TRUE., op(TL) = TL'.

LTRANR  (input) LOGICAL
On	entry, LTRANR specifies	the op(TR):  = .FALSE.,	op(TR) = TR, =
.TRUE., op(TR) = TR'.

ISGN    (input) INTEGER
On	entry, ISGN specifies the sign of the equation as described
before. ISGN may only be 1	or -1.

N1	     (input) INTEGER
On	entry, N1 specifies the	order of matrix	TL.  N1	may only be 0,
1 or 2.

N2	     (input) INTEGER
On	entry, N2 specifies the	order of matrix	TR.  N2	may only be 0,
1 or 2.

TL	     (input) REAL array, dimension (LDTL,2)
On	entry, TL contains an N1 by N1 matrix.

LDTL    (input) INTEGER
The leading dimension of the matrix TL. LDTL >= max(1,N1).

Page 1

SLASY2(3F)							    SLASY2(3F)

TR	     (input) REAL array, dimension (LDTR,2)
On	entry, TR contains an N2 by N2 matrix.

LDTR    (input) INTEGER
The leading dimension of the matrix TR. LDTR >= max(1,N2).

B	     (input) REAL array, dimension (LDB,2)
On	entry, the N1 by N2 matrix B contains the right-hand side of
the equation.

LDB     (input) INTEGER
The leading dimension of the matrix B. LDB	>= max(1,N1).

SCALE   (output) REAL
On	exit, SCALE contains the scale factor. SCALE is	chosen less
than or equal to 1	to prevent the solution	overflowing.

X	     (output) REAL array, dimension (LDX,2)
On	exit, X	contains the N1	by N2 solution.

LDX     (input) INTEGER
The leading dimension of the matrix X. LDX	>= max(1,N1).

XNORM   (output) REAL
On	exit, XNORM is the infinity-norm of the	solution.

INFO    (output) INTEGER
On	exit, INFO is set to 0:	successful exit.
1:	TL and TR have too close eigenvalues, so TL or TR is perturbed
to	get a nonsingular equation.  NOTE: In the interests of speed,
this routine does not check the inputs for	errors.

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