cgetrs man page on Scientific

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CGETRS(1)		 LAPACK routine (version 3.2)		     CGETRS(1)

NAME
       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  factoriza‐
       tion computed by CGETRF

SYNOPSIS
       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
       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
       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 com‐
	       puted 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.

       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

 LAPACK routine (version 3.2)	 November 2008			     CGETRS(1)
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