CGETRS(3F)							    CGETRS(3F)

NAME    [Toc]    [Back]

     CGETRS - 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 CGETRF

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	TRANS

	 INTEGER	INFO, LDA, LDB,	N, NRHS

	 INTEGER	IPIV( *	)

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

PURPOSE    [Toc]    [Back]

     CGETRS 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 CGETRF.

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

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

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

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





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CGETRS(3F)							    CGETRS(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
CGETRS(3F)							    CGETRS(3F)

NAME    [Toc]    [Back]

     CGETRS - 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 CGETRF

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	TRANS

	 INTEGER	INFO, LDA, LDB,	N, NRHS

	 INTEGER	IPIV( *	)

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

PURPOSE    [Toc]    [Back]

     CGETRS 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 CGETRF.

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

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

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

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





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CGETRS(3F)							    CGETRS(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


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