ctbtrs man page on YellowDog

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CTBTRS(l)			       )			     CTBTRS(l)

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

SYNOPSIS
       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, * )

PURPOSE
       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 nonsinguā€
       lar.

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.

LAPACK version 3.0		 15 June 2000			     CTBTRS(l)
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