CXML
        	    
LAPACK version 3.0
ctbtrs(3)

PURPOSE
  CTBTRS - solve a triangular system of the form  A * X = B, A**T * X = B, or
  A**H * X = B,

SYNTAX
  SUBROUTINE CTBTRS( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO )

      CHARACTER	     DIAG, TRANS, UPLO

      INTEGER	     INFO, KD, LDAB, LDB, N, NRHS

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

DESCRIPTION
  CTBTRS solves a triangular system of the form A * X = B, A**T * X = B, or
  A**H * X = B, where A is a triangular band matrix of order N, and B is an
  N-by-NRHS matrix.  A check is made to verify that A is nonsingular.

ARGUMENTS
  UPLO	  (input) CHARACTER*1
	  = 'U':  A is upper triangular;
	  = 'L':  A is lower triangular.

  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)

  DIAG	  (input) CHARACTER*1
	  = 'N':  A is non-unit triangular;
	  = 'U':  A is unit triangular.

  N	  (input) INTEGER
	  The order of the matrix A.  N >= 0.

  KD	  (input) INTEGER
	  The number of superdiagonals or subdiagonals of the triangular band
	  matrix A.  KD >= 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)
	  The upper or lower triangular band matrix A, stored in the first
	  kd+1 rows of AB.  The j-th column of A is stored in the j-th column
	  of the array AB as follows: if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j)
	  for max(1,j-kd)<=i<=j; if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for
	  j<=i<=min(n,j+kd).  If DIAG = 'U', the diagonal elements of A are
	  not referenced and are assumed to be 1.

  LDAB	  (input) INTEGER
	  The leading dimension of the array AB.  LDAB >= KD+1.

  B	  (input/output) COMPLEX array, dimension (LDB,NRHS)
	  On entry, the right hand side matrix B.  On exit, if INFO = 0, 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
	  > 0:	if INFO = i, the i-th diagonal element of A is zero,
	  indicating that the matrix is singular and the solutions X have not
	  been computed.