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CGBTRS(1)		 LAPACK routine (version 3.2)		     CGBTRS(1)

NAME
       CGBTRS  - solves a system of linear equations  A * X = B, A**T * X = B,
       or A**H * X = B with a general band matrix A using the LU factorization
       computed by CGBTRF

SYNOPSIS
       SUBROUTINE CGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO
			  )

	   CHARACTER	  TRANS

	   INTEGER	  INFO, KL, KU, LDAB, LDB, N, NRHS

	   INTEGER	  IPIV( * )

	   COMPLEX	  AB( LDAB, * ), B( LDB, * )

PURPOSE
       CGBTRS solves a system of linear equations
	  A * X = B,  A**T * X = B,  or	 A**H * X =  B	with  a	 general  band
       matrix A using the LU factorization computed by CGBTRF.

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.

       KL      (input) INTEGER
	       The number of subdiagonals within the band of A.	 KL >= 0.

       KU      (input) INTEGER
	       The number of superdiagonals within the band of A.  KU >= 0.

       NRHS    (input) INTEGER
	       The number of right hand sides, i.e., the number of columns  of
	       the matrix B.  NRHS >= 0.

       AB      (input) COMPLEX array, dimension (LDAB,N)
	       Details	of  the LU factorization of the band matrix A, as com‐
	       puted by CGBTRF.	 U is  stored  as  an  upper  triangular  band
	       matrix  with KL+KU superdiagonals in rows 1 to KL+KU+1, and the
	       multipliers used during the factorization are  stored  in  rows
	       KL+KU+2 to 2*KL+KU+1.

       LDAB    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.

       IPIV    (input) INTEGER array, dimension (N)
	       The  pivot  indices;  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			     CGBTRS(1)
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