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SGETRS(3F)							    SGETRS(3F)


NAME    [Toc]    [Back]

     SGETRS - solve a system of	linear equations  A * X	= B or A' * X =	B with
     a general N-by-N matrix A using the LU factorization computed by SGETRF

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	TRANS

	 INTEGER	INFO, LDA, LDB,	N, NRHS

	 INTEGER	IPIV( *	)

	 REAL		A( LDA,	* ), B(	LDB, * )

PURPOSE    [Toc]    [Back]

     SGETRS solves a system of linear equations
	A * X =	B  or  A' * X =	B with a general N-by-N	matrix A using the LU
     factorization computed by SGETRF.

ARGUMENTS    [Toc]    [Back]

     TRANS   (input) CHARACTER*1
	     Specifies the form	of the system of equations:
	     = 'N':  A * X = B	(No transpose)
	     = 'T':  A'* X = B	(Transpose)
	     = 'C':  A'* X = B	(Conjugate transpose = 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) REAL array, dimension (LDA,N)
	     The factors L and U from the factorization	A = P*L*U as computed
	     by	SGETRF.

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

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

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






									Page 1






SGETRS(3F)							    SGETRS(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
SGETRS(3F)							    SGETRS(3F)


NAME    [Toc]    [Back]

     SGETRS - solve a system of	linear equations  A * X	= B or A' * X =	B with
     a general N-by-N matrix A using the LU factorization computed by SGETRF

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	TRANS

	 INTEGER	INFO, LDA, LDB,	N, NRHS

	 INTEGER	IPIV( *	)

	 REAL		A( LDA,	* ), B(	LDB, * )

PURPOSE    [Toc]    [Back]

     SGETRS solves a system of linear equations
	A * X =	B  or  A' * X =	B with a general N-by-N	matrix A using the LU
     factorization computed by SGETRF.

ARGUMENTS    [Toc]    [Back]

     TRANS   (input) CHARACTER*1
	     Specifies the form	of the system of equations:
	     = 'N':  A * X = B	(No transpose)
	     = 'T':  A'* X = B	(Transpose)
	     = 'C':  A'* X = B	(Conjugate transpose = 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) REAL array, dimension (LDA,N)
	     The factors L and U from the factorization	A = P*L*U as computed
	     by	SGETRF.

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

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

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






									Page 1






SGETRS(3F)							    SGETRS(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


									PPPPaaaaggggeeee 2222
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